A regression of wife\'s height in inches (wifeheight) on husband\'s height in in

Question

A regression of wife's height in inches (wifeheight) on husband's height in inches (husbandheight) yields the following least-squares regression line: wifeheight = 43.6 + 0.29husbandheight Suppose both height variables are converted to centimeters (1 inch is 2.54 cm) and we rerun the regression. 16) What would be the slope (b) of the new estimated regression line when height is measured in cm? (round to 2 decimal places) 17) What is the new y-intercept (a)? (round to 1 decimal place) 18) How tall does a husband have to be (in inches) for the regression to predict that his wife will be the same height? (round to the nearest whole number)

Explanation / Answer

16) slope will remain un changed and it should be 0.29

17) new intercept will become 2.54 times of old

new intercept =2.54*43.6 =110.744

18)

let husband height =wife height =x

hence from above x =43.6+0.29*x

x=43.6/(1-0.29) =61.0 inch

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