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Chapter 3: Q 3. (page 171)

Heavy backpacks Ninth-grade students at the Webb Schools go on a

backpacking trip each fall. Students are divided into hiking groups of size 8 by selecting names from a hat. Before leaving, students and their backpacks are weighed. The data here are from one hiking group. Make a scatterplot by hand that shows how to backpack weight relates to body weight.

Short Answer

Expert verified

There is a positive relationship between the two variables.

Step by step solution

01

Given information

The data set is:

Body weight120187109103131165158116
Backpack weight2630262429353128
02

Explanation

The scatter plot for the provided set can be constructed as:

The above-drawn graph demonstrates that the two variables have a positive association.

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Most popular questions from this chapter

The scatterplot shows the lean body mass and metabolic rate for a sample of = adults. For each person, the lean body mass is the subject鈥檚 total weight in kilograms less any weight due to fat. The metabolic rate is the number of calories burned in a 24-hour period.

Because a person with no lean body mass should burn no calories, it makes sense to model the relationship with a direct variation function in the form y = kx. Models were tried using different values of k (k = 25, k = 26, etc.) and the sum of squared residuals (SSR) was calculated for each value of k. Here is a scatterplot showing the relationship between SSR and k:

According to the scatterplot, what is the ideal value of k to use for predicting metabolic rate?

a. 24

b. 25

c. 29

d. 31

e. 36

The stock market Some people think that the behavior of the stock market in January predicts its behavior for the rest of the year. Take the explanatory variable x to be the percent change in a stock market index in January and the response variable y to be the change in the index for the entire year. We expect a positive correlation between x and y because the change during January contributes to the full year鈥檚 change. Calculation from data for an 18-year period gives x = X=1.75%sx=5.36%y=9.07%sy=15.35%r=0.596

(a) Find the equation of the least-squares line for predicting full-year change from January change. Show your work.

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More hot dogs Refer to Exercise 19

a. Explain why it isn鈥檛 correct to say that the correlation is 0.87mg/cal

b. What would happen to the correlation if the variables were reversed on the scatterplot? Explain your reasoning.

c. What would happen to the correlation if sodium was measured in grams instead of milligrams? Explain your reasoning.

One child in the Mumbai study had height 59 cm and arm span 60 cm. This child鈥檚 residual is

a. 鈭�3.2 cm.

b. 鈭�2.2 cm.

c. 鈭�1.3 cm.

d. 3.2 cm.

e. 62.2 cm.

Manatees are large, gentle, slow-moving sea creatures found along the coast of Florida. Many manatees are injured or killed by boats. Here is a scatterplot showing the relationship between the number of boats registered in Florida (in thousands) and the number of manatees killed by boats for the years 1977 to 2015.13Isr>0orr<0? Closer to r=0orr=卤1?Explain your reasoning.

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