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Chapter 14: Q 12 (page 588)
Graduation Rates. Refer to Problem 11 .
a. Determine the regression equation for the data.
b. Compute and interpret the standard error of the estimate.
c. Presuming that the assumptions for regression inferences are met, interpret your answer to part (b).
.
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Body Fat. In the paper "Total Body Composition by DualPhoton ( Gd) Absorptiometry" (American Journal of Clinical Nutrition, Vol. 40, pp. 834-839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using dual-photon absorptiometry. Each adult's age and percentage of body fat are shown on the WeissStats site.
In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.
a. Decide, at the lore significance level, whether the data provide sufficient evidence to conclude that \(x\) is useful for predicting y.
b. Find a 90rk confidence interval for the slope of the population regression line.
In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts .
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a Te confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).
14.100 Movie Grosses. The data from Exercise 14.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. Specified value of the predictor variable: S 100 million.
14.7 The difference between an observed value and a predicted value of the response variable is called a________
14.96 Crown-Rump Length. Following are the data on age of fetuses and length of crown-rump from Exercise 14.26.
| x | 10 | 10 | 13 | 13 | 18 | 19 | 19 | 23 | 25 | 28 |
| y | 66 | 66 | 108 | 106 | 161 | 166 | 177 | 288 | 235 | 280 |
a. Determine a point estimate for the mean crown-rump length of all -week-old fetuses.
b. Find a confidence interval for the mean crown-rump length of all 19-week-old fetuses.
c. Find the predicted crown-rump length of a -week-old fetus.
d. Determine a prediction interval for the crown-rump length of a -week-old fetus.
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