One may wonder if people of similar heights tend to marry each other. For this purpose, asample of newly married couples was selected. Let X be the height of the husband and Ybe the height of the...

One may wonder if people of similar heights tend to marry each other. For this purpose, asample of newly married couples was selected. Let X be the height of the husband and Ybe the height of the wife. The heights (in centimeters) of husbands and wives are found inData1.xlsx.(a) Compute the covariance between the heights of the husbands and wives.(b) Compute the correlation coefficient between the heights of the husband and wife.(c) What would the correlation be if every man married a woman exactly 5 centimetersshorter than him?(d) We wish to fit a regression model relating the heights of husbands and wives. Whichone of the two variables would you choose as the response variable? Justify youranswer.(e) Construct a scatter plot of heights of husbands and wives. Does the plot suggest alinear relationship between the heights of husbands and wives.(f) Fit a regression line predicting the height of wife from the height of a husband.