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Chapter 14: Q. 14.3 (page 560)

Fill in the blanks.

a. The line y=β0+β1xis called the ____

b. The common conditional standard deviation of the response variable is denoted _____

c. For x=6, the conditional distribution of the response variable is a____ distribution having mean___ and standard deviation____.

Short Answer

Expert verified

(a) Population regression line

(b) σ

(c) Normal,β0+6β1,σ.

Step by step solution

01

Concept introduction

A variable is a sign or expression in statistics that signifies an unspecified quantity, uncertain magnitude, or inveterate liar. In the instance of boolean algebra or calculus, elements are utilized precisely.

02

Explanation

a. The line y=β0+β1xis called the population regression line.

b. The common conditional standard deviation of the response variable is denoted by σ

c. For x=6, the conditional distribution of the response variable is a normal distribution having mean β0+6β1and standard deviation σ.

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Most popular questions from this chapter

In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.

a. Decide, at the lore significance level, whether the data provide sufficient evidence to conclude that \(x\) is useful for predicting y.

b. Find a 90rk confidence interval for the slope of the population regression line.

y=2.875-0.625x

To find and interpret a confidence interval, at the specified confidence level 90%for the slope of the population regression line that relates the response variables to the predictor variable.

14.23 Corvette Prices. The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1 and 6 years old.

Here, xdenotes age, in years, and ydenotes price, in hundreds of dollars.

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a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence lo conclude that a is useful for predicting y:

b. Find a 90%confidences interval for the slope of the population regression line.

y=1.75+0.25x
See all solutions

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