Calculate a regression line to predict weight from height for these data from so

Question

Calculate a regression line to predict weight from height for these data from sophomore women.

Height (inches) Weight (pounds)
63.0 134.0
70.5 138.0
64.5 124.5
70.0 146.0
65.5 117.5
69.0 158.0
65.5 141.0
68.0 162.0
69.5 124.5
66.5 137.5
66.5 116.0
66.0 133.0
64.0 111.5

Based on your regression, how many more pounds would you predict a woman to weigh than her friend, if she is one inch taller than the friend? In other words, for each additional inch of height a woman in this study has, how much higher would you predict her weight to be?

#### (Be careful to only round to two decimal places at the very end. Try to keep four or five decimal places during your work.)

Explanation / Answer

The regression summary using excel is as follows

Hence the regression equation is given by

Y(weight) = -74.49 +3.12*X(Height)

Based on this regression line we can conclude that for each additional inch of height a woman in this study has, a weight which is 3.12 pounds higher.

SUMMARY OUTPUT Regression Statistics Multiple R 0.49 R Square 0.24 Adjusted R Square 0.17 Standard Error 14.11 Observations 13.00 ANOVA df SS MS F Significance F Regression 1.00 675.35 675.35 3.39 0.09 Residual 11.00 2189.73 199.07 Total 12.00 2865.08 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -74.49 113.32 -0.66 0.52 -323.91 174.93 Height 3.12 1.70 1.84 0.09 -0.61 6.85

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