/*! 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} Q. 4.133 The coefficient of determination... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 4.133 (page 189)

The coefficient of determination of a set of data points is 0.70yand the slope of the regression line is -3.58. Determine the linear correlation coefficient of the data.

Short Answer

Expert verified

The linear correlation coefficient=-0.842

Step by step solution

01

Given Information

To find the linear correlation coefficient of data.

02

Explanation

Given information:

The coefficient of determination of the set of data points is r=0.709

The slope of the regression line=-3.58

Calculation:

From the given data, we have

The slope of the regression line is negative.

Then, the linear correlation coefficient

=-0.709=-0.842

Hence, the linear correlation coefficient=-0.842

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

Road Grade. The grade of a road is defined as the distance it rises (or falls) to the distance it runs horizontally, usually expressed as a percentage. Consider a road with a positive grade, g. Suppose that you begin driving on that road at an altitude a0

a. Find the linear equation that expresses the altitude, a, when you have driven a distance, d,along the road. (Hint: Draw a graph and apply the Pythagorean Theorem

b. Identify and interpret the y-intercept and slope of the linear equation in part (a).

c. Apply your results in parts (a) and (b) to a road with a 5%grade and an initial altitude of 1mile. Express your answer for the slope to four decimal places.

d. For the road in part (c). what altitude will you reach after driving 10milesalong the road?

e. For the road in part (c), how far along the road must you drive to reach an altitude of 3miles?

Age and Price of Orions. In Table 4.2, we provided data on age and price for a sample of 11Orions between 2and 7years old. On the Weiss Stats site, we have given the ages and prices for a sample of 31Orions between 1and 11years old.

a. Obtain a scatterplot for the data.

b. Is it reasonable to find a regression line for the data? Explain your answer.

For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

Corvette Prices. Following are the age and price data for Corvettes from Exercise 4.59:

a. Compute SST,SSR,SSE

b. Compute the coefficient of determination

c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.

d. State how useful the regression equation appears to be for making predictions.

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. For part (g). predict the prices of a 2 -year-old Corvette and a 3-year-old Corvette.

  1. find the regression equation for the data points.
  2. graph the regression equation and the data points.
  3. describe the apparent relationship between the two variables under consideration.
  4. interpret the slope of the regression line.
  5. identify the predictor and response variables.
  6. identify outliers and potential influential observations.
  7. predict the values of the response variable for the specified values of the predictor variable, and interpret your results.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

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.