D. In Exercise 6, we examined the relationship between years of education and hours o television watched per day. We saw that as education increases, hours of television viewing decreases. The number of children a family has could also affect how much television is viewed per day. Having children may lead to more shared and supervised viewing and thus increases the number of viewing hours. The following SPSS output displays the relationship between television viewing (measured in hours per day) and both education (measured in years) and number of children. We

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
icon
Related questions
Question
100%
C10. In Exercise 6, we examined the relationship between years of education and hours of
television watched per day. We saw that as education increases, hours of television
viewing decreases. The number of children a family has could also affect how
much television is viewed per day. Having children may lead to more shared and
supervised viewing and thus increases the number of viewing hours. The following
SPSS output displays the relationship between television viewing (measured in
hours per day) and both education (measured in years) and number of children. We
hypothesize that whereas more education may lead to less viewing, the number of
children has the opposite effect: Having more children will result in more hours of
viewing per day.
a. What is the b coefficient for education? For number of children? Interpret each
coefficient. Is the relationship between each independent variable and hours of
viewing as hypothesized?
b. Using the multiple regression equation with both education and number of children
as independent variables, calculate the number of hours of television viewing for
Transcribed Image Text:C10. In Exercise 6, we examined the relationship between years of education and hours of television watched per day. We saw that as education increases, hours of television viewing decreases. The number of children a family has could also affect how much television is viewed per day. Having children may lead to more shared and supervised viewing and thus increases the number of viewing hours. The following SPSS output displays the relationship between television viewing (measured in hours per day) and both education (measured in years) and number of children. We hypothesize that whereas more education may lead to less viewing, the number of children has the opposite effect: Having more children will result in more hours of viewing per day. a. What is the b coefficient for education? For number of children? Interpret each coefficient. Is the relationship between each independent variable and hours of viewing as hypothesized? b. Using the multiple regression equation with both education and number of children as independent variables, calculate the number of hours of television viewing for
a person with 16 years of education and two children. Using the equation from
Exercise 6, how do the results compare between a person with 16 years of education
(number of children not included in the equation) and a person with 16 years of
education with two children?
c. Compare the r value from Exercise 6 with the R value from this regression. Does
using education and number of children jointly reduce the amount of error involved
in predicting hours of television viewed per day?
Multiple Regression Output Specifying the Relationship Between Education,
Number of Children, and Hours Spent per Day Watching Television
Model Summary
Adjusted R
Square
Std. Error of
the Estimate
Model
R
R Square
.213
.046
.043
3.173
a. Predictors: (Constant), Number of children, Highest
year of school completed
ANOVA
Sum of
Squares
Model
df
Mean Square
Sig.
Regression
351.146
2.
175.573
17.439
.000
Residual
7359.542
731
10.068
Total
7710.688
733
a. Dependent Variable: Hours per day watching TV
b. Predictors: (Constant), Number of children, Highest year of school completed
Coefficientsa
Standardized
Coefficients
Unstandardized Coefficients
Model
Std. Error
Beta
1.
(Constant)
Sig.
5.596
.593
9.438
.000
Highest year of school
completed
-.201
.039
-.190
-5.105
.000
Number of children
.118
a. Dependent Variable: Hours per day watching TV
.071
.062
1.657
.098
Transcribed Image Text:a person with 16 years of education and two children. Using the equation from Exercise 6, how do the results compare between a person with 16 years of education (number of children not included in the equation) and a person with 16 years of education with two children? c. Compare the r value from Exercise 6 with the R value from this regression. Does using education and number of children jointly reduce the amount of error involved in predicting hours of television viewed per day? Multiple Regression Output Specifying the Relationship Between Education, Number of Children, and Hours Spent per Day Watching Television Model Summary Adjusted R Square Std. Error of the Estimate Model R R Square .213 .046 .043 3.173 a. Predictors: (Constant), Number of children, Highest year of school completed ANOVA Sum of Squares Model df Mean Square Sig. Regression 351.146 2. 175.573 17.439 .000 Residual 7359.542 731 10.068 Total 7710.688 733 a. Dependent Variable: Hours per day watching TV b. Predictors: (Constant), Number of children, Highest year of school completed Coefficientsa Standardized Coefficients Unstandardized Coefficients Model Std. Error Beta 1. (Constant) Sig. 5.596 .593 9.438 .000 Highest year of school completed -.201 .039 -.190 -5.105 .000 Number of children .118 a. Dependent Variable: Hours per day watching TV .071 .062 1.657 .098
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL