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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

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^=87.974−0.060934x

d. y^=−0.060934+1.01216x

e. y^=−0.060934+87.947x

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

a. −3.2 cm.

b. −2.2 cm.

c. −1.3 cm.

d. 3.2 cm.

e. 62.2 cm.

In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gas, you expect to see

a. very little association.

b. a weak negative association.

c. a strong negative association.

d. a weak positive association.

e. a strong positive association.

Fruit fly thorax lengths (2.2) Fruit flies are used frequently in genetic research because of their quick reproductive cycle. The length of the thorax (in millimeters) for male fruit flies is approximately Normally distributed with a mean of 0.80 mm and a standard deviation of 0.08 mm.21

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?

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=±1?Explain your reasoning.

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