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Exercise physiologists are investigating the relationship between lean body mass

ID: 3314963 • Letter: E

Question

Exercise physiologists are investigating the relationship between lean body mass (in kilograms) and the resting metabolic rate (in calories per day) in sedentary males. Dependent variable is: Rate Rsquared-55.7% Rsquared (adjusted)-51.3% s-144.9 with 59-2=57 degrees of fieedom Variable Coefficient s.e. of Coeff t-ratio prob Constant 264.0 Mass 22.563 276.9 6.360 0.95 3.550.005 0.363 1. Identify the slope of the regression analysis. 2. Based on your answer in (1), write a sentence of interpretation for the value of slope in context of the problem.

Explanation / Answer

a) From the coefficient column, we see that the coefficient for independent variable Mass is 22.563

Therefore 22.563 is the required slope of the regression analysis here.

b) The interpretation of this slope is that for every unit increase in the mass, there would be an increase of 22.563 units in the dependent variable that is Rate here.

Here it would mean that for a kg increase in Mass, there would be an increase in 22.563 calories per day in the metabolic rate.

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