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Chapter 14: Q14.116 (page 585)

If two variables are positively linearly correlated, one of the variables tends to increase as the others __

Short Answer

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If two variables are positively linearly correlated, one of the variables tends to increase as the others increases .

Step by step solution

01

Basics 

p(rho) is a statistical parameter for the entire population, determining whether the variables are linearly correlated or not.

Linear correlation means variables change at a constant rate, and their relationship is denoted by straight line curve.

02

Explanation 

pindicates the magnitude of correlation in the variables' populations. It is between +1and -1.

If two variables are positively correlated, pis between 0and+1

It means that two variables change in the same direction, one variable increase as other variable increase, and one variable decrease as other variable decrease.

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Most popular questions from this chapter

In this Exercise 14.49, we repeat the information from Exercises 14.13.

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

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

x312y-40-5 y^=1-2x

To find and interpret a confidence interval , at the specified confidence level 99%for the slope of the population regression line that relates the response variables to the predictor variable.

To find and interpret a confidence interval, at the specified confidence level 99%for the slope of the population regression line that relates the response variables to the predictor variable.

Identify two graphs used in a residual analysis to check the Assumptions 1-3 for regression inferences, and explain the reasoning behind their use:

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
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