Weight gained. A nutritionist is interested in analyzing the result of a diet plan on underweight individuals based on their ages. The nutritionist conducts an experiment on 163 underweight individuals and records their age, gender, and weight gained (in kg) after a month of the same diet consumption that was provided to them. Here are the summary statistics, regression analysis, and plots of the weight gained by these 163 underweight individuals, where the response variable is Weight Gained.

Regression Statistics Multiple R 0.5529 R Square 0.3057 Adjusted R Square 0.3014 Standard Error 1.3867 Observations 163 Variable Coefficient SE(Coeff) t-ratio P-value Intercept 7.7282 0.4136 18.6865 0.0000 Age -0.1624 0.0193 -8.4202 0.0000

a) Is there evidence of a linear association between Weight Gained and Age? Write an appropriate hypothesis.

b) Discuss the assumptions for inference.

c) Test your hypothesis, and state an appropriate conclusion.

Transcribed Image Text:

10 Weight Gained by Age y=-0.1624x+7.7282 R = 0.3057 0 10 15 20 4- 25 30 35 Age Age Residual Plot 20 25 Age 30 35