{"id":87920,"date":"2021-06-17T13:01:38","date_gmt":"2021-06-17T07:31:38","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=87920"},"modified":"2021-07-02T16:02:10","modified_gmt":"2021-07-02T10:32:10","slug":"1st-puc-economics-question-bank-chapter-7-part-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/1st-puc-economics-question-bank-chapter-7-part-1\/","title":{"rendered":"1st PUC Economics Question Bank Chapter 7 Correlation"},"content":{"rendered":"<h2>Karnataka 1st PUC Economics Question Bank Chapter 7 Correlation<\/h2>\n<h3>1st PUC Economics Correlation TextBook Questions and Answers<\/h3>\n<p><span style=\"color: #0000ff;\">I. Answer the following questions in a word sentence (each question carries 1 mark).<\/span><\/p>\n<p>Question 1.<br \/>\nWhat is correlation? (N &#8211; 2018)<br \/>\nAnswer:<br \/>\nCorrelation studies and measures the direction and intensity of relationship among variables<\/p>\n<p>Question 2.<br \/>\nWhat is a scatter diagram?<br \/>\nAnswer:<br \/>\nA scatter diagram is a diagram to visually present the nature of the association without giving any specific numerical value. It is a useful technique for visually examining the form of relationship, without calculating any numerical value.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 3.<br \/>\nWrite the formula for Spearman\u2019s rank correlation.<br \/>\nAnswer:<br \/>\nRS = \\(\\frac{6 \\Sigma \\mathrm{D}^{2}}{\\mathrm{~N}^{3}-n}\\)<\/p>\n<p><span style=\"color: #0000ff;\">II. Answer the following questions in about four sentences (each question carries 2 marks)<\/span><\/p>\n<p>Question 1.<br \/>\nWhy is \u2018r\u2019 preferred in place of covariance as a measure of association?<br \/>\nAnswer:<br \/>\nCorrelation coefficient (v) is preferred to covariance as it has no unit and is independent of origin as well as scale.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 2.<br \/>\nMention the types of correlation.<br \/>\nAnswer:<br \/>\nThere are two types of correlation negative correlation and positive correlation. Again they are classified as perfect positive and perfect negative correlations.<\/p>\n<p>Question 3.<br \/>\nWhat is a negative correlation? Give an example. (S &#8211; 2018)<br \/>\nAnswer:<br \/>\nThe correlation is said to be negative when the variables move in opposite directions.<br \/>\nExample:<\/p>\n<ul>\n<li>When the price of tomatoes increases, the demand for tomatoes decreases.<\/li>\n<li>More is the time spent on studies, less are the chances of failure.<\/li>\n<\/ul>\n<p>Question 4.<br \/>\nWhat is a positive correlation? Give an example.<br \/>\nAnswer:<br \/>\nThe correlation is said to be positive when the variables move together in the same direction. Example:<\/p>\n<ul>\n<li>When our income increases, our consumption also increases.<\/li>\n<li>When there is a rise in temperature, there will be an increase in the sales of cool drinks.<\/li>\n<\/ul>\n<p>Question 5.<br \/>\nWhat are perfect positive correlation and perfect negative correlation?<br \/>\nAnswer:<br \/>\nThe perfect positive and perfect negative correlations can be represented in a diagram. If all the points lie on the upward sloping line, it is called a perfect positive correlation.<\/p>\n<ul>\n<li>If all the points lie on the downward sloping line, it is called a perfect negative correlation.<\/li>\n<li>In both cases, the points themselves are on the lines.<\/li>\n<\/ul>\n<p>Question 6.<br \/>\nGive an example where correlation does not exist.<br \/>\nAnswer:<br \/>\nIf &#8216;r&#8217; is zero, the two variables are uncorrelated. That means, there is no linear relation between \u2018r\u2019 them. However other types of relations may be there. Fo{ example: The relationship between food and marks secured are uncorrelated.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 7.<br \/>\nMention the different techniques for measuring correlation.<br \/>\nAnswer:<br \/>\nThere are three important techniques used to measure correlation.<br \/>\nThey are as follows:<\/p>\n<ul>\n<li>Scatter diagrams<\/li>\n<li>Karl Pearson&#8217;s coefficient of correlation<\/li>\n<li>Spearman&#8217;s rank correlation.<\/li>\n<\/ul>\n<p>Question 8.<br \/>\nMention which type of correlation is associated with:<br \/>\n(a) Production and price of vegetables.<br \/>\n(b) Temperature and sale of ice creams.<br \/>\nAnswer:<br \/>\n(a) There is a negative correlation between production and the price of vegetables. If the production of vegetables increases, which leads to an increase in supply, it will result in a decrease in the price of vegetables.<br \/>\n(b) There is a positive correlation between temperature and the sale of ice creams. If the temperature increases, there will be an increase in the sales of ice creams and vice versa.<\/p>\n<p>Question 9.<br \/>\nInterpret the values of r as 1, -1, and 0.<br \/>\nAnswer:<br \/>\nWhen r = 1, it shows there is a perfect positive correlation between two variables.<br \/>\nWhen r= -1, it shows that there is a perfect negative correlation between two variables.<br \/>\nWhen r = 0, it shows that there is no relationship between the two variables.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 10.<br \/>\nHow does the rank correlation coefficient differ from the Pearson Ian correlation coefficient?<br \/>\nAnswer:<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"264\"><strong>Spearman\u2019s rank correlation<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"276\"><strong>Karl Pearson\u2019s correlation<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"264\">1. It measures the correlation coefficient for qualitative data.<\/td>\n<td width=\"276\">1. It measures correlation for quantitative data.<\/td>\n<\/tr>\n<tr>\n<td width=\"264\">2. It calculates the rank differences.<\/td>\n<td width=\"276\">2. It calculates deviations from the mean.<\/td>\n<\/tr>\n<tr>\n<td width=\"264\">3. It gives less importance to the extreme values as it gives them rank.<\/td>\n<td width=\"276\">3. It gives more importance to extreme values as it is based on actual values.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Question 11.<br \/>\nWhat is causation? Does correlation imply causation?<br \/>\nAnswer:<br \/>\nCausation just implies the cause and effect relationship between two variables. Correlation measures do not imply causation. Correlation studies and measures the direction and intensity of relationships among variables. Correlation measures covariation and not causation. It provides only a quantitative measure and does not give a cause and effect relationship between the variables.<\/p>\n<p><span style=\"color: #0000ff;\">III. Answer the following questions in about twelve sentences, (each question carries 4 marks)<\/span><\/p>\n<p>Question 1.<br \/>\nCalculate the correlation between the heights of fathers (x) and that their sons (y) inches<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89158\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.1.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.1\" width=\"394\" height=\"82\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.1.png 394w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.1-300x62.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89159\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.2.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.2\" width=\"584\" height=\"558\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.2.png 584w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.2-300x287.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><br \/>\nThere is a low degree of positive correlation between the heights of fathers and sons.<\/p>\n<p>Question 2.<br \/>\nCalculate the correlation coefficient between X and Y, and comment on their relationship.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89160\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.3.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.3\" width=\"547\" height=\"66\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.3.png 547w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.3-300x36.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87951\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-5.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 5\" width=\"213\" height=\"230\" \/><br \/>\n\u03b3 = \\(\\frac{0}{\\sqrt{28} \\sqrt{65.34}}=\\frac{0}{(5.29) \\times 8.08}=\\frac{0}{42.74}\\)<br \/>\n\u03b3 = 0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 3.<br \/>\nCalculate the correlation coefficient between X and Y and comment on their relationship.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87949\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-7.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 7\" width=\"483\" height=\"64\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-7.png 483w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-7-300x40.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89162\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.5.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.5\" width=\"536\" height=\"419\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.5.png 536w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.5-300x235.png 300w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><br \/>\nThere is a perfect positive correlation between the values of X and Y.<\/p>\n<p>Question 4.<br \/>\nMention the properties of the correlation coefficient (any four).<br \/>\nAnswer:<br \/>\nThe following are the major properties of the correlation coefficient:<\/p>\n<ol>\n<li>Correlation \u2018r\u2019 has no unit, it is a pure number. It means units of measurement are not part of \u2018r&#8217;<\/li>\n<li>A negative value of \u2018r\u2019 indicates an inverse relation. A change in one variable is associated with a change in the other variable in the opposite direction. For instance, when the price of tomatoes increases, their demand decreases.<\/li>\n<li>If &#8220;r&#8221; is positive the two variables move in the same direction. When the price of coffee rises, a substitute for tea, the demand for tea increases.<\/li>\n<li>The value of the correlation coefficient lies between minus one and plus one. (-1 &lt; r &lt; 1).<\/li>\n<li>If r = 0, the two variables are uncorrelated. There is no linear relation between them. However, other types of relations may be there.<\/li>\n<li>If r = 1 or r = -1, the correlation is perfect. The relation between them is exact.<\/li>\n<li>A low value of \u2018r\u2019 indicates a weak linear relation. Its value is said to be low when it is close to zero.<\/li>\n<li>The magnitude of \u2018r\u2019 is unaffected by the change of origin and change of scale.<\/li>\n<\/ol>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 5.<br \/>\nDraw the scatter diagram and conclude about correlation. (Board Paper)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87946\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-10.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 10\" width=\"557\" height=\"64\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-10.png 557w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-10-300x34.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89163\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.6.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.6\" width=\"461\" height=\"302\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.6.png 461w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.6-300x197.png 300w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><br \/>\nConclusion: There is a positive correlation between the X and Y variable.<\/p>\n<p>Question 6.<br \/>\nDraw the scatter diagram and interpret. (S &#8211; 2018)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87944\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-12.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 12\" width=\"522\" height=\"63\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-12.png 522w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-12-300x36.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89164\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.7.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.7\" width=\"397\" height=\"361\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.7.png 397w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.7-300x273.png 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" \/><br \/>\nInterpretation: There is a perfect positive correlation between X and Y.<\/p>\n<p>Question 7.<br \/>\nDraw the scatter diagram and comment about the correlation<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87942\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-14.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 14\" width=\"511\" height=\"63\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-14.png 511w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-14-300x37.png 300w\" sizes=\"(max-width: 511px) 100vw, 511px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89165\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.8.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.8\" width=\"479\" height=\"394\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.8.png 479w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.8-300x247.png 300w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><br \/>\nComment: There is a negative correlation between X and Y.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 8.<br \/>\nCalculate the product-moment coefficient of correlation between the following marks (out of 10) in statistics and mathematics of six students.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87940\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-16.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 16\" width=\"541\" height=\"89\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-16.png 541w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-16-300x49.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89166\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.9.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.9\" width=\"694\" height=\"252\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.9.png 694w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.9-300x109.png 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><\/p>\n<p><span style=\"color: #0000ff;\">IV. Answer the following in about twenty sentences (each question carries 6 marks)<\/span><\/p>\n<p>Question 1.<br \/>\nCalculate Karl Pearson\u2019s coefficient of correlation for the following data using step deviation method.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87938\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-18.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 18\" width=\"596\" height=\"65\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-18.png 596w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-18-300x33.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89167\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.10.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.10\" width=\"694\" height=\"337\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.10.png 694w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.10-300x146.png 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89169\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.12.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.12\" width=\"509\" height=\"330\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.12.png 509w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.12-300x194.png 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<p>Question 3.<br \/>\nCalculate Karl Pearson\u2019s coefficient of correlation from the following data using the step deviation method and comment on the result.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87935\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-21.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 21\" width=\"526\" height=\"66\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-21.png 526w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-21-300x38.png 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89170\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.13.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.13\" width=\"620\" height=\"368\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.13.png 620w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.13-300x178.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89171\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.14.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.14\" width=\"581\" height=\"394\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.14.png 581w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.14-300x203.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 4.<br \/>\nCalculate the coefficient of rank correlation.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-87932\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-24.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation 24\" width=\"615\" height=\"62\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-24.png 615w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation-24-300x30.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89172\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.15.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.15\" width=\"504\" height=\"279\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.15.png 504w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.15-300x166.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><br \/>\nHere. the number 35 repeated twice in x series and number 34 repeated thrice in y\u2019 series, therefore in x. m = 2. in y m = 3. then apply the formula<br \/>\nn=8. \u03a3 D<sup>2<\/sup> = 80.5<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-89173\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.16.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation.16\" width=\"523\" height=\"358\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.16.png 523w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/1st-PUC-Economics-Question-Bank-Chapter-7-Correlation.16-300x205.png 300w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/06\/KSEEB-Solutions.png\" alt=\"1st PUC Economics Question Bank Chapter 7 Correlation\" width=\"146\" height=\"13\" \/><\/p>\n<h4><a href=\"https:\/\/kseebsolutions.guru\/1st-puc-economics-question-bank\/\">1st PUC Economics Question Bank with Answers<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Karnataka 1st PUC Economics Question Bank Chapter 7 Correlation 1st PUC Economics Correlation TextBook Questions and Answers I. Answer the following questions in a word sentence (each question carries 1 mark). Question 1. What is correlation? (N &#8211; 2018) Answer: Correlation studies and measures the direction and intensity of relationship among variables Question 2. What &hellip;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[81],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/87920"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=87920"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/87920\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=87920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=87920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=87920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}