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Chapter 12: Q. 20 (page 792)

Pencils and GPA Is there a relationship between a student鈥檚 GPA and the number of pencils in his or her backpack? Jordynn and Angie decided to find out by selecting a random sample of students from their high school. Here is computer output from a least-squares regression analysis using x=number of pencils and y=GPA:

Is there convincing evidence of a linear relationship between GPA and number of pencils for students at this high school? Assume the conditions for inference are met.

Short Answer

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01

Given Information

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02

Simplify

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Most popular questions from this chapter

A survey firm wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from 5.75%to 6%, with the additional revenue going to education. Let p^denote the proportion in the sample who say that they support the increase. Suppose that 40%of all adults in Ohio support the increase. If the survey firm wants the standard deviation of the sampling distribution of p^to equal 0.01,how large a sample size is needed?

a.1500

b. 2400

c.2401

d.2500

e.9220

A large machine is filled with thousands of small pieces of candy, 40%of which are orange. When money is deposited, the machine dispenses60randomly selected pieces of candy. The machine will be recalibrated if a group of 60candies contains fewer than18that are orange. What is the approximate probability that this will happen if the machine is working correctly?

a. P(z<0.3鈭�0.4(0.4)(0.6)60)Pz&1t;0.3-0.4(0.4)(0.6)60

b.P(z<0.3鈭�0.4(0.3)(0.7)60)Pz&1t;0.3-0.4(0.3)(0.7)60

d. P(z<0.3-0.4(0.4)(0.6)60)Pz&lt;0.3-0.4(0.4)(0.6)60

c. P(z<0.3-0.4(0.4)(0.6)60)

Pz&lt;0.3-0.4(0.4)(0.6)60

e. P(z<0.4-0.3(0.3)(0.7)60)Pz&lt;0.4-0.3(0.3)(0.7)60

A researcher from the University of California, San Diego, collected data on average per capita wine consumption and heart disease death rate in a random sample of 19 countries for which data were available. The following table displays the data

Is there convincing evidence of a negative linear relationship between wine consumption and heart disease deaths in the population of countries?

Do taller students require fewer steps to walk a fixed distance? The scatterplot shows the relationship between x=height (in inches) and y=number of steps required to walk the length of a school hallway for a random sample of 36 students at a high school.

A least-squares regression analysis was performed on the data. Here is some computer output from the analysis

Long legs Do these data provide convincing evidence at the 伪=0.05level that taller students at this school require fewer steps to walk a fixed distance? Assume that the conditions for inference are met.

Prey attracts predators . Here is computer output from the least-squares regression analysis of the perch data

a. What is the estimate for 尾0? Interpret this value.

b. What is the estimate for 尾1? Interpret this value.

c. What is the estimate for 蟽? Interpret this value.

d. Give the standard error of the slope SEb1. Interpret this value.
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