Question

In: Math

Agree or disagree with each of the following statements and provide a short explanation. Arnold wanted...

Agree or disagree with each of the following statements and provide a short explanation.

Arnold wanted to compare the effects of cardio exercise and weightlifting on weight loss. He ran the following two regressions on the same sample,

weightloss on 1; cardio

weightloss on 1; lifting

He found that the coefficient from the first regression was larger than the coefficient from the second regression and therefore concluded that all else equal, an additional hour of cardio leads to more weight loss than an additional hour of lifting.

Solutions

Expert Solution

Agree or disagree with each of the following statements and provide a short explanation.

Arnold wanted to compare the effects of cardio exercise and weightlifting on weight loss. He ran the following two regressions on the same sample,

weightloss on 1; cardio

weightloss on 1; lifting

He found that the coefficient from the first regression was larger than the coefficient from the second regression and therefore concluded that all else equal, an additional hour of cardio leads to more weight loss than an additional hour of lifting.

Disagree with the statement. The variables cardio exercise and weightlifting are of different units. So it is inappropriate to compare the regression coefficients of the two variables.

One solution to this is to run a multiple regression analysis on the two variables. Now compare the standardized regression coefficients to see which variable lead to more weightloss.


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