Our first example of regression (Example 4.1, page 90) presented data showing th

Question

Our first example of regression (Example 4.1, page 90) presented data showing that people who increased their nonexercise activity (NEA) when they were deliberately overfed gained less fat than other people. The scatterplot and regression line based on 16 overfed subjects are displayed in Figure 4.1. Here is part of the Minitab output for regressing fat gain on NEA change in this study, along with prediction for a person adding 400 NEA calories: The Minitab output includes a prediction for y when x* = 400. If an overfed adult burned an additional 400 NEA calories, we can be 95% confident that the person's fat gain would be between a) 1.75 and 2.51 kg. b) 1.71 and 2.54 kilograms (kg). c) 0.49 and 3.77 kg.

Explanation / Answer

Result:

Our first example of regression (Example 4.1, page 90) presented data showing that people who increased their nonexercise activity (NEA) when they were deliberately overfed gained less fat than other people. The scatterplot and regression line based on 16 overfed subjects are displayed in Figure 4.1. Here is part of the Minitab output for regressing fat gain on NEA change in this study, along with prediction for a person adding 400 NEA calories: The Minitab output includes a prediction for y when x* = 400. If an overfed adult burned an additional 400 NEA calories, we can be 95% confident that the person's fat gain would be between

a) 1.75 and 2.51 kg.

b) 1.71 and 2.54 kilograms (kg).

Answer: c) 0.49 and 3.77 kg.

From the output, The 95% prediction interval when x=400 is ( 0.489, 3.769). There for the answer is ( 0.49, 3.77), two decimals.

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