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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For two variables satisfying Assumptions for regression inferences, the population regression equation is . For samples of size and given values of the predictor variable, the distribution of slopes of all possible sample regression lines is a --------distribution with mean------- .
U.S. Presidents. The Information Please Almanac provides data on the ages at the inauguration and death of the presidents of the United States. We give those data on the WeissStats site for those residents who are not still living at the time of this writing.
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.
In Exercises 14.12-14.21, we repeat the data and provide the sample regression equations for Exercises 4.48-4.57.
a. Determine the standard error of the estimate.
b. Construct a residual plot.
c. Construct a normal probability plot of the residuals.
In Exercises 14.70-14.80, use the technology of your choice to do the following tasks.
a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).
b. Decide, at the significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.
14.70 Birdies and Score. The data from Exercise for number of birdies during a tournament and final score for 63 women golfer are on the WeissStats site.
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