Question

Given that the correlation between X and Y is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the mean and the standard deviation of Y is 6.5 and 7.2 respectively. Find the slope for the line of best fit.

Answer 1

The slope of line is - 0.416

Given,

correlation between x and y  = - 0.48

mean of x=3.4

standard deviation of x =8.3

mean of y =6.5

standard deviation of y = 7.2

Slope of line can be calculated by formula, $a=r*\frac{S_y}{S_x}$

where, r= correlation between x and y

Sy=standard deviation of y

Sx= standard deviation of x

$a=(-0.48)*\frac{7.2}{8.3}\\\\a=(-0.48)*0.867\\\\a=-0.416$

Thus, the slope of line is - 0.416

To learn more about correlation refer here

https://brainly.com/question/28327714

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