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Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58
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Calculate Karl pearson coefficient of correlation. value of x 42,44,5...
Calculation of Karl Pearson Coefficient of Correlation
Step 1: Calculate the mean of both the variables X and Y.
Mean of X = (42+44+58+55+89+98+61)/7 = 67.14
Mean of Y = (56+49+53+58+65+76+58)/7 = 60.14
Step 2: Calculate the deviations of X and Y from their respective means.
Deviation of X = (42-67.14), (44-67.14), (58-67.14), (55-67.14), (89-67.14), (98-67.14), (61-67.14)
= -25.14, -23.14, -9.14, -12.14, 21.86, 30.86, -6.14
Deviation of Y = (56-60.14), (49-60.14), (53-60.14), (58-60.14), (65-60.14), (76-60.14), (58-60.14)
= -4.14, -11.14, -7.14, -2.14, 4.86, 15.86, -2.14
Step 3: Calculate the product of deviations of X and Y.
Product of deviations of X and Y = (-25.14*-4.14), (-23.14*-11.14), (-9.14*-7.14), (-12.14*-2.14), (21.86*4.86), (30.86*15.86), (-6.14*-2.14)
= 104.2296, 257.194, 65.2596, 25.9396, 106.3096, 489.8296, 13.1096
Step 4: Calculate the square of deviations of X and Y.
Square of deviation of X = (-25.14)^2, (-23.14)^2, (-9.14)^2, (-12.14)^2, (21.86)^2, (30.86)^2, (-6.14)^2
= 632.2596, 534.7396, 83.5396, 147.6196, 477.1396, 951.1396, 37.6996
Square of deviation of Y = (-4.14)^2, (-11.14)^2, (-7.14)^2, (-2.14)^2, (4.86)^2, (15.86)^2, (-2.14)^2
= 17.1396, 123.8596, 51.1396, 4.5796, 23.6196, 251.4596, 4.5796
Step 5: Calculate the sum of square of deviations of X and Y.
Sum of square of deviation of X = 632.2596+534.7396+83.5396+147.6196+477.1396+951.1396+37.6996 =
Step 1: Calculate the mean of both the variables X and Y.
Mean of X = (42+44+58+55+89+98+61)/7 = 67.14
Mean of Y = (56+49+53+58+65+76+58)/7 = 60.14
Step 2: Calculate the deviations of X and Y from their respective means.
Deviation of X = (42-67.14), (44-67.14), (58-67.14), (55-67.14), (89-67.14), (98-67.14), (61-67.14)
= -25.14, -23.14, -9.14, -12.14, 21.86, 30.86, -6.14
Deviation of Y = (56-60.14), (49-60.14), (53-60.14), (58-60.14), (65-60.14), (76-60.14), (58-60.14)
= -4.14, -11.14, -7.14, -2.14, 4.86, 15.86, -2.14
Step 3: Calculate the product of deviations of X and Y.
Product of deviations of X and Y = (-25.14*-4.14), (-23.14*-11.14), (-9.14*-7.14), (-12.14*-2.14), (21.86*4.86), (30.86*15.86), (-6.14*-2.14)
= 104.2296, 257.194, 65.2596, 25.9396, 106.3096, 489.8296, 13.1096
Step 4: Calculate the square of deviations of X and Y.
Square of deviation of X = (-25.14)^2, (-23.14)^2, (-9.14)^2, (-12.14)^2, (21.86)^2, (30.86)^2, (-6.14)^2
= 632.2596, 534.7396, 83.5396, 147.6196, 477.1396, 951.1396, 37.6996
Square of deviation of Y = (-4.14)^2, (-11.14)^2, (-7.14)^2, (-2.14)^2, (4.86)^2, (15.86)^2, (-2.14)^2
= 17.1396, 123.8596, 51.1396, 4.5796, 23.6196, 251.4596, 4.5796
Step 5: Calculate the sum of square of deviations of X and Y.
Sum of square of deviation of X = 632.2596+534.7396+83.5396+147.6196+477.1396+951.1396+37.6996 =
Community Answer
Calculate Karl pearson coefficient of correlation. value of x 42,44,5...
Coefficient of Correlation (r) = + 0.88.
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Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics
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Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics.
Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate Karl pearson coefficient of correlation. value of x 42,44,58,55,89,98,61Value of y 56,49,53,58,65,76,58 Related: NCERT Solutions Correlation, Class 11 Statistics for Economics.
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