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Chapter 12: Q. 1.1 (page 751)

In Chapter 3, we examined data on the body weights and backpack weights of a group of eight randomly selected ninth-grade students at the Webb Schools. Some Minitab output from least-squares regression analysis for these data is shown

1. What conditions must be met for regression inference to be appropriate?

Short Answer

Expert verified

There are five conditions that must be met for the regression inferences to be appropriate.

Step by step solution

01

Given Information

Need to find the conditions that must be met for regression inference to be appropriate.

02

Explanation

There are five conditions that must be met for the regression inferences to be appropriate, that are:

Linear, independent, normal, equal variance, and random conditions.

Thus, we have to check the linearity of the relationship between variables, and then we have to check whether the variables are independent samples or not. Then, we have to check the normality of the residual whether they follow the normal distribution, and also check if they have equal variance. Also the sample we must have taken must be a random sample so that it represents the whole of the population.

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Most popular questions from this chapter

Marcella takes a shower every morning when she gets up. Her time in the shower varies according to a Normal distribution with mean 4.5minutes and standard deviation 0.9minutes.

(a) If Marcella took a 7-minute shower, would it be classified as an outlier? Justify your answer.

(b) Suppose we choose 10days at random and record the length of Marcella鈥檚 shower each day. What鈥檚 the probability that her shower time is 7minutes or higher on at least 2of the days? Show your work.

(c) Find the probability that the mean length of her shower times on these 10 days exceeds5 minutes. Show your work

Color words (1.3) Do the data provide evidence of a difference in the average time required to perform the two tasks? Include an appropriate graph and numerical summaries in your answer.

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鈥檚 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 .

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.

From the chi-square test performed in this study, we may conclude that

(a) there is convincing evidence of an association between the gender of an individual participating in the event and development of a rash.

(b) mud wrestling causes a rash, especially for women.

(c) there is absolutely no evidence of any relation between the gender of an individual participating in the event and the subsequent development of a rash.

(d) development of a rash is a real possibility if you participate in mud wrestling, especially if you do so on a regular basis.

(e) the gender of the individual participating in the event and the development of a rash are independent.

Which sampling method was used in each of the following settings, in order from I to IV?

I. A student chooses for a survey the first 20students to arrive at school.

II. The name of each student in a school is written on a card, the cards are well mixed, and 10names are drawn.

III. A state agency randomly selects 50people from each of the state鈥檚 senatorial districts.

IV. A city council randomly selects eight city blocks and then surveys all the voting-age residents of those blocks.

(a) Voluntary response, SRS, cluster, stratified

(b) Voluntary response, SRS, stratified, cluster

(c) Convenience, cluster, SRS, stratified

(d) Convenience, SRS, cluster, stratified

(e) Cluster, SRS, stratified, convenience
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