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Chapter 12: Q.7 (page 797)
A 95% confidence interval for the slope B of the population regression line is
A 95% confidence interval for the slope B of the population regression line is41391983396742" width="9" height="19" role="math">
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Which of the following sampling plans for estimating the proportion of all adults in a medium-sized town who favor a tax increase to support the local school system does not suffer from undercoverage bias?
(a) A random sample of names from the local phone book
(b) A random sample of parents whose children attend one of the local schools
(c) A sample consisting of people from the city who take an online survey about the issue
(d) A random sample of homeowners in the town
(e) A random sample of people from an alphabetical list of all adults who live in the town
Ideal proportions The students in Mr. Shenk's class measured the arm spans and heights (in inches) of a random sample of 18 students from their large high school. Some computer output from a least-squares regression analysis on these data is shown below. Construct and interpret a 90% confidence interval for the slope of the population regression line. Assume that the conditions for performing inference are met.
Time at the table Refer to Exercise 14.
(a) Construct and interpret a 98% confidence interval for the slope of the population regression line. Explain how your results are consistent with the significance test in Exercise 14.
(b) Interpret each of the following in context:
(i)s
(ii)
(iii) The standard error of the slope
Inference about the slope of a least-squares regression line is based on which of the following distributions?
(a) The t distribution with degrees of freedom
(b) The standard Normal distribution
(c) The chi-square distribution with degrees of freedom
(d) The t distribution with degrees of freedom
(e) The Normal distribution with mean and standard deviation
Students in a statistics class drew circles of varying diameters and counted how many Cheerios could be placed in the circle. The scatterplot shows the results.
The students want to determine an appropriate equation for the relationship between diameter and the number of Cheerios. The students decide to transform the data to make it appear more linear before computing a least-squares regression line. Which of the following single transformations would be reasonable for them to try?
I. Take the square root of the number of Cheerios.
II. Cube the number of Cheerios.
III. Take the log of the number of Cheerios.
IV. Take the log of the diameter.
(a) I and II
(b) I and III
(c) II and III
(d) II and IV
(e) I and IV
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