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 1 / 3 CLASS: XI …

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 1 / 3 CLASS: XI                  LN: 7 CORRELATION Question 1: Explain the relation betwen price and quantity supplied through a scattered diagram. Price (₹) 10 20 30 40 50 60 Quantity Supplied 25 50 75 100 125 150 Question 2: Show the relationship between X and Y through a scattered diagram. X 8 16 24 31 42 50 Y 70 58 50 32 26 12 Question 3: Find out coefficient of correlation between the age of Husband and Wife, using Karl Pearson's method based on actual mean value of the following series. Age of Husband 20 23 27 31 35 38 40 42 Age of Wife 18 20 24 30 32 34 36 38 Question 4: Calculate Karl Pearson's coefficient of correlation, between the age and weight of children. Age (years) 1 2 3 4 5 Weight (kg) 3 4 6 7 10 Question 5: Calculate coefficient of correlation, using Karl Pearson's formula based on actual mean value of the series given below. Year Index of Industrial Production Number of Unemployed People in thousand 2010 2011 2012 2013 100 102 104 107 11.3 12.4 14.0 11.1 2 / 3 2014 2015 2016 2017 105 112 103 94 12.3 12.2 19.1 26.4 Question 6: Make a scattered diagram of the data given below. Does any relationship exist between the two? X 4 5 6 7 8 9 10 11 12 13 14 15 Y 78 72 66 60 54 48 42 36 30 24 18 12 Question 7: Deviation of two series of X and Y are shown. Calculate coefficient of correlation. X +5 −4 −2 +20 −10 0 +3 0 −15 −5 Y +5 −12 −7 +25 −10 −3 0 +2 −9 −15 Question 8: Calculate coefficient of correlation of the age of husband and wife using Karl Pearson's method. Husband (Age) 23 27 28 29 30 31 33 35 36 Wife (Age) 18 20 22 27 29 27 29 28 29 Question 9: Calculate correlation of the following data using Karl Pearson's method: Series A 112 114 108 124 145 150 119 125 147 150 Series B 200 190 214 187 170 170 210 190 180 181 Question 10: 3 / 3 Using assumed average in Karl Pearson's formula, calculate coefficient of correlation, given the following data: X 78 89 97 69 59 79 68 61 Y 125 137 156 112 107 106 123 138
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