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Answer :
The equation of the regression line for predicting height based on shoulder girth is:y = 103.82 + 0.607x, which mean that for every one-unit increase in shoulder girth, the predicted height increase by 0.607 units.
Since the equation of the regression line for predicting height based on shoulder girth can be written as: y = a + bx, where y is the predicted height, x is the shoulder girth, a is the y-intercept, and b is the slope of the regression line.
To find the values of a and b, we need to use the following formulas:
b = r(Sy/Sx)
a = ybar - b(xbar), where r is the correlation coefficient between height and shoulder girth, Sy is the standard deviation of height, Sx is the standard deviation of shoulder girth, ybar is the mean height, and x bar is the mean shoulder girth. now substituting the values we get :
b = 0.67(9.41/10.37) ≈ 0.607
a = 171.14 - 0.607(107.20) ≈ 103.82
To know more about the correlation coefficient refer to the link brainly.com/question/27226153
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