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Chapter 12: Q.1.1 (page 776)

Explain why it would be reasonable to use an exponential model to describe the relationship between the U.S. population in the years 1790 to 1880 and the number of years since 1700. Here is some Minitab output from a linear regression analysis on the transformed data.

Short Answer

Expert verified

The exponential model will provide a better description of the relationship between the U.S. population in the years 1790 to 1880 and the number of the years since 1700 .

Step by step solution

01

Given Information

02

Explanation

To use an exponential model to describe the relationship between the U.S. population in the years 1790to 1880and the number of the years since 1700because the model that gives a better description of the relationship between the U.S. population in the years 1790to 1880 and the number of the years since 1700needs to have a roughly linear pattern in the scatterplot. Thus, the exponential model will provide a better description of the relationship between the U.S. population in the years 1790to 1880and the number of the years since 1700.

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Most popular questions from this chapter

Western lowland gorillas, whose main habitat is the central African continent, have a mean weight of 275poundswith a standard deviation of 40pounds. Capuchin monkeys, whose main habitat is Brazil and a few other parts of Latin America, have a mean weight of 6poundswith a standard deviation of 1.1pounds. Both weight distributions are approximately Normally distributed. If a particular western lowland gorilla is known to weigh 345pounds, approximately how much would a capuchin monkey have to weigh, in pounds, to have the same standardized weight as the lowland gorilla?

(a)4.08

(b)7.27

(c) 7.93

(d) 8.20

(e) There is not enough information to determine the weight of a capuchin monkey.

The cell that contributes most to the chi-square statistic is

(a) men who developed a rash.

(b) men who did not develop a rash.

(c) women who developed a rash.

(d) women who did not develop a rash.

(e) both (a) and (d).

Question refers to the following situation:

Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the University of Washington student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.

Some Minitab output for the previous table is given below. The output includes the observed counts, the expected counts, and the chi-square statistic.

Do hummingbirds prefer store-bought food made from concentrate or a simple mixture of sugar and water? To find out, a researcher obtains 10identical hummingbird feeders and fills 5, chosen at random, with store-bought food from concentrate and the other 5with a mixture of sugar and water. The feeders are then randomly assigned to10possible hanging locations in the researcher’s yard. Which inference procedure should you use to test whether hummingbirds show a preference for store-bought food based on amount consumed?

(a) A one-sample z test for a proportion .

(b) A two-sample z test for a proportion .

(c) A chi-square test for association/independence .

(d) A two-sample t test .

(e) A paired t test .

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) r2

(iii) The standard error of the slope

Snowmobiles

(a) If we choose a survey respondent at random, what’s the probability that this individual (i) is a snowmobile owner? (ii) belongs to an environmental organization or owns a snowmobile? (iii) has never used a snowmobile given that the person belongs to an environmental organization?

(b) Are the events “is a snowmobile owner” and “belongs to an environmental organization” independent for the members of the sample? Justify your answer.

(c) If we choose two survey respondents at random, what’s the probability that (i) both are snowmobile owners? (ii) at least one of the two belongs to an environmental organization?
See all solutions

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