A magazine listed the number of calories and sodium content (in milligrams) for

Question

A magazine listed the number of calories and sodium content (in milligrams) for 13 brands of hot dogs. Use the regression output for the calorie and sodium content of hot dogs to complete parts a through c. a) The output reports s = 74.68. Explain what that means in this context choose the correct answer below. A. Among hot dogs with the same sodium content, the number of calories varies, with a standard deviation of about 75 calories B. Among hot dogs with the same number of calories, the sodium content varies, with a standard deviation of about 75 milligrams. C. The standard deviation of the x-values is about 75 calories. D. The standard deviation of the y-values is about 75 milligrams. b) What's the value of the standard error of the slope of the regression line? SE(b_1) = (Round to two decimal places as needed.) c) Explain what the value of the standard error of the slope of the regression line means in this context. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. If other samples of hot dogs were used, the slopes of the resulting regression lines would vary, with a standard deviation of about milligrams of sodium per calorie. B. If other samples of hot dogs were used, the slopes of the resulting regression lines would differ from 2.575 by an average of about milligrams of sodium per calorie. C. other samples of hot dogs were used, the slopes of the resulting regression lines would differ from 2.575 by an average of about calories per milligram of sodium. D. other samples of hot dogs were used, the slopes of the resulting regression lines would vary, with a standard Click to select your answer(s).

Explanation / Answer

a) Option A is correct.

b) SE(b1) = 0.57

c) Option D: If other samples of hot dogs were used, the slopes of the resulting regression lines would vary,with a standard deviation of about 0.57 calories per milligram of sodium.

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