/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 Two variables \(x\) and \(y\) ha... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 11

Two variables \(x\) and \(y\) have a positive linear relationship. Explain what happens to the value of \(y\) when \(x\) increases. Give one example of a positive relationship between two variables.

Short Answer

Expert verified
In a positive linear relationship, as \(x\) increases, \(y\) also increases. An example of this is the relationship between height and weight in adults.

Step by step solution

01

Explanation of Positive Linear Relationship

In a positive linear relationship, when one variable \(x\) increases, the other corresponding variable \(y\) also increases. This means the variables change together in the same direction. In other words, they both rise or both fall at the same time.
02

Effect of Increase in Variable \(x\) on \(y\)

When \(x\) increases, \(y\) will also increase. This is due to their positive linear relationship. The increase in \(y\) corresponds to the increase in \(x\). If you were to graph this relationship, it would result in a straight line slanted upwards.
03

Example of Positive Linear Relationship

An example of a positive relationship could be the relationship between height and weight in adults; generally, taller adults (greater \(x\)) tend to weigh more (greater \(y\)) than shorter adults.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain the difference between a simple and a multiple regression model.

The following information is obtained from a sample data set. $$ n=12, \quad \Sigma x=66, \quad \Sigma y=588, \quad \Sigma x y=2244, \quad \Sigma x^{2}=396 $$ Find the estimated regression line.

The following table provides information on the speed at takeoff (in meters per second) and distance traveled (in meters) by a random sample of 10 world- class long jumpers. $$ \begin{array}{l|rrrrrrrrrr} \hline \text { Speed } & 8.5 & 8.8 & 9.3 & 8.9 & 8.2 & 8.6 & 8.7 & 9.0 & 8.7 & 9.1 \\ \hline \text { Distance } & 7.72 & 7.91 & 8.33 & 7.93 & 7.39 & 7.65 & 7.95 & 8.28 & 7.86 & 8.14 \\ \hline \end{array} $$ With distance traveled as the dependent variable and speed at takeoff as the independent variable, find the following: a. \(\mathrm{SS}_{x x}, \mathrm{SS}_{y y}\), and \(\mathrm{SS}_{x y}\) b. Standard deviation of errors c. SST, SSE, and SSR d. Coefficient of determination

The following table, reproduced from Exercise \(13.26\), gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg's cereal.$$ \begin{array}{l|rrrrrrrrrrrrr} \hline \text { Sugar (grams) } & 4 & 15 & 12 & 11 & 8 & 6 & 7 & 2 & 7 & 14 & 20 & 3 & 13 \\ \hline \text { Calories } & 120 & 200 & 140 & 110 & 120 & 80 & 190 & 100 & 120 & 190 & 190 & 110 & 120 \\ \hline \end{array} $$ a. Find the correlation coefficient. Is its sign the same as that of \(b\) calculated in Exercise \(13.26\) ? b. Test at a \(1 \%\) significance level whether the linear correlation coefficient between the two variables listed in the table is positive.

Explain the meaning of coefficient of determination.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.