–0.162 ± 4.230 –0.162 ± 0.525 –0.162 ± 0.064 –0.162 ± 0.038 Researchers at a lar
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Question
–0.162 ± 4.230
–0.162 ± 0.525
–0.162 ± 0.064
–0.162 ± 0.038
Researchers at a large nutrition and weight management company are trying to build a model to predict a person's body fat percentage from an array of variables such as body weight, height, and body measurements around the neck, chest, abdomen, hips, biceps, etc. A variable selection method is used to build a simple model. SPSS output for the final model is given below.
What is a 90% confidence interval for 1, the coefficient of weight, based on these results?
–0.162 ± 4.230
–0.162 ± 0.525
–0.162 ± 0.064
–0.162 ± 0.038
Explanation / Answer
What is a 90% confidence interval for 1 is
1 ± talpha * standard error
=-0.162 ± 1.68 * 0.038 (where t critical value at 48 degrees of freedom with 10% level is 1.68)
= -0.162 ± 0.064
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