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Chapter 3: Q. 1.1 (page 169)

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. A scatterplot of the weight (in grams) and time since birth (in weeks) shows a fairly strong, positive linear relationship. The linear regression equation weight = 100 + 40(time) models the data fairly well.

1. What is the slope of the regression line? Explain what it means in context.

Short Answer

Expert verified

The slope of the regression line(b)is40.

Step by step solution

01

Given

We are given the linear regression equation of time on weight:

weight=100+40(time)

02

Calculations

We know that for the given linear regression equation of the form:

y=a+bx, the slope is b.

Therefore,

For the given equation we have, b=40.

Therefore the slope of linear regression equation is40.

03

Explanation

The value of slope b=40means that we for a unit increase in time the weight increases by 40 units, provided a remains constant.

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Most popular questions from this chapter

Acid rain Refer to Exercise 39. Would it be appropriate to use the regression line to predict pH after1000 months? Justify your answer.

Do heavier people burn more 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 for 12women who are subjects in a study of 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 24hours. The researchers believe that lean body mass is an important influence on metabolic rate.

(a) Make a scatterplot on your calculator to examine the researchers鈥� belief.

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