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Chapter 3: Q 49. (page 204)

Actual weight Refer to Exercise 47. Use the equation of the least-squares regression line and the residual plot to estimate the actual mean weight of the infants when they were 1 month old.

Short Answer

Expert verified

The shape of the image is approximately normally distributed.

Step by step solution

01

Given information

The figure is

02

Concept

The least-squares regression line reduces the sum of squares of vertical distances between the observed points and the line to zero.

03

Explanation

In a survey, 400 respondents were asked to affix a blue sticker next to the oldest person they have ever known on a large wall.

The sample size is huge, therefore (more than 30). As a result, the image's shape is roughly and normally distributed.

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Most popular questions from this chapter

The scatterplot shows reading test scores against IQ test scores for 14 fifth-grade children. There is one low outlier in the plot. What effect does this low outlier have on the correlation?

a. It makes the correlation closer to 1.

b. It makes the correlation closer to 0 but still positive.

c. It makes the correlation equal to 0.

d. It makes the correlation negative.

e. It has no effect on the correlation.

Do muscles burn energy? Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on the lean body mass and resting metabolic rate of 12 women who are subjects in a study on dieting. Lean body mass, given in kilograms, is a person鈥檚 weight leaving out all fat. Metabolic rate is measured in calories burned per 24 hours. The researchers believe that lean body mass is an

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a. Make a scatterplot to display the relationship between lean body mass and metabolic rate.

b. Describe the relationship between lean body mass and metabolic rate.

Joan is concerned about the amount of energy she uses to heat her home.

The scatterplot shows the relationship between x = mean temperature in a particular month

and y = mean amount of natural gas used per day (in cubic feet) in that month, along with the regression line y^=1425鈭�19.87x

a. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30掳F.

b. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 65掳F.

c. How confident are you in each of these predictions? Explain your reasoning.

By looking at the equation of the least-squares regression line, you can see that the correlation between height and arm span is

a. greater than zero.

b. less than zero.

c. 0.93.

d. 6.4.

e. Can鈥檛 tell without seeing the data.

Using data from the LPGA tour, a regression analysis was performed using x = average driving distance and y = scoring average. Using the output from the regression analysis shown below, determine the equation of the least-squares regression line.

a. y^=87.974+2.391x

b. y^=87.974+1.01216x

c. y^=87.974鈭�0.060934x

d. y^=鈭�0.060934+1.01216x

e. y^=鈭�0.060934+87.947x
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