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Chapter 3: Q 54. (page 205)

More long jumps Refer to Exercise 52. Use technology to create a residual plot. Sketch the residual plot and explain what information it provides.

Short Answer

Expert verified

The pattern does not appear to include considerable curvature, implying that the linear model is adequate.

Step by step solution

01

Given information

02

Explanation

Now we must plot the dash time in seconds and the long-jump distance in inches on a residual plot. To make it, we'll utilize a calculator, such as a Ti83/84-calculator. To get to plot 1start by pressing 2nd>Y=and then entering. Then make sure that On is selected and that the first graph type is chosen. L1comes after Xlistand RESID comes after YlistAs a result of pressing GRAPH at the end, we get the following:

This suggests that the point pattern looks to be random in the scatterplot and that the pattern does not appear to include considerable curvature, implying that the linear model is adequate.

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Most popular questions from this chapter

A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, 鈥淭he evidence indicates the correlation between the number of extracurricular activities. a student participates in and his or her grade point average is close to 0.鈥� Which of the following is the most appropriate conclusion?

a. Students involved in many extracurricular activities tend to be students with poor grades.

b. Students with good grades tend to be students who are not involved in many extracurricular activities.

c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.

d. Students with good grades tend to be students who are involved in many

extracurricular activities.

e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.

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a. What proportion of male fruit flies have a thorax length greater than 1 mm?

b. What is the 30th percentile for male fruit fly thorax lengths?

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(a) Find the equation of the least-squares line for predicting GPA from IQ. Show your work.

(b) What percent of the observed variation in these students鈥� GPAs can be explained by the linear relationship between GPA and IQ?

(c) One student has an IQ of 103but a very low GPA of 0.53. Find and interpret the residual for this student

There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. A least-squares fit of some data collected by a biologist gives the model y^=25.2+3.3x , where x is the number of chirps per minute and y^ is the estimated temperature in degrees Fahrenheit. What is the predicted increase in temperature for an increase of = chirps per minute?

a. 3.3掳F

b. 16.5掳F

c. 25.2掳F

d. 28.5掳F

e. 41.7掳F
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