Question

In: Statistics and Probability

Using the data below find the linear correlation coefficient. x y xy

Using the data below find the linear correlation coefficient.

x y xy x² y²

3 4 12 9 16

4 6 24 16 36

5 7 35 25 49

7 12 84 49 144

8 14 112 64 196

___________________________________________

27 43 267 163 441

Also, utilizing the above data, find the slope and intercept.

Expert Solution

Solution

Given that

x = 27

y = 43

xy = 267

x² = 163

y² = 441

n = 5

r = n ( xy )- (x ) (y) / n [ ( x² ) - ( x )² ] [ n (y² ) - ( y )²

^r = 5 (267) - (27 * 43)/ [ 5 * 163 - ( 27 ) ² [5 * 441 - ( 43) ² ]

r = 1335 - 1061 / 315 - 729 2205 - 1829

r = 174 / 86356

r = 174 / 9.2736 *18.868

r = 174 / 174.9743

r = 0.9944

orchestra answered 1 year ago

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