Question

# 10. In Exercise 6, we examined the relationship between years of education and hours of television...

10. 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.

Model Summary

 Model R R Square Adjusted R Square Std. Error of the Estimate 1 .200a .040 .038 2.555

a. Predictors: (Constant), childs Number of Children, educ Highest Year of School Completed

ANOVA

 Model Sum of Squares df Mean Square F Sig. 1    Regression 213.426 2 106.713 16.344 .000b Residual 5099.206 781 6.529 Total 5312.633 783

a. Dependent Variable: tvhours Hours Per Day Watching TV

b. Predictors: (Constant), childs Number of Children, educ Highest Year of School Completed

 Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 5.095 .461 11.061 .000 educ Highest Year of School Completed -.164 .030 -.194 -5.422 .000 childs Number of Children .040 .056 .026 .714 .475

a. Dependent Variable: tvhours Hours Per Day Watching TV

10a. 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?

10b. 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?

10c. Compare the r2 value from Exercise 6 with the R2 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?

10a) The -0.164 coefficient for education. For number of children is 0.04

For every increase in year there will be -0.164 decrease in  tv Hours Per Day Watching TV.

For an every increase in number of children there will be an increase of 0.04  tv Hours Per Day Watching TV.

Education is significant and number of children is not significant.

10b. y(hat)= 5.095-0.164*x1+0.04*x2

y(hat)= 5.095-0.164*16+0.04*2

y(hat)= 2.551
10c. The r2 value is 0.04.

Interpretation:0.04 indicates that the model explains 4% of the variability of the response data around its mean.

NOTE: You have not provided the data for exercise 6.