Question

Do heavier people burn more energy? A researcher collected data on the lean body mass (LBM) and resting metabolic rate (MR) for 10 individuals who were subjects of the study of dieting. LBM given in kilograms, is person’s weight leaving out all fat. Metabolic rate (MR) measured in calories burned per 24 hours. The researcher believes that LBM (independent) is an important influence on MR (dependent). Scores for variables body mass and metabolic rate are given in the following table (the scores have been rounded). The MR scores are in 10s scale. Write the rest of column headers and finish the regression table in the process as you are answering the following questions.

A. Obtain the slope (b) and the y-intercept (a) of the least square regression.

B. Write the regression equation for the body mass (X) and metabolic rate (Y) and identify b and a in the equation.

C. Predict the value of metabolic rate if body mass would be 112

D. Use correlation formula to calculate R , the relationship between body mass and metabolic rate

E. What does R2 tell us about the relationship between the two variables?

Body Mass (X) Metabolic Rate (Y)   \overline{X} - X\overline{Y} - Y

40 100

56 140

49 141

40 142

51 151

33 95

43 111

52 135

42 121

34 104

0 0
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Answer #1

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