A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table. Age (years) 73 66 63 56 49 46 38 31 25 21 14 Time (hours) 0 2 4 6 8 10 12 14 16 18 20 (a) Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.) ŷ = (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.) (c) Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.) r = (d) Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table. Age (years) 73 66 63 56 49 46 38 31 25 21 14 Time (hours) 0 2 4 6 8 10 12 14 16 18 20 (a) Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.) ŷ = (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.) (c) Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.) r = (d) Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
Related questions
Question
100%
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table.
| Age (years) | 73 | 66 | 63 | 56 | 49 | 46 | 38 | 31 | 25 | 21 | 14 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Time (hours) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
(a)
Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.)
ŷ =
(b)
Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.)
(c)
Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.)
r =
(d)
Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning