Question: UseMinitab, R, or your preferred software for this question, but calculate the 90% confidence interval for the coefficient forcableby hand (but use the SE from

UseMinitab, R, or your preferred software for this question, but calculate the 90% confidence interval for the coefficient forcableby hand (but use the SE from the software output) and do the test whetherageandnumber of TVsshould be dropped by hand (but use the ANVOA tables from software).

The data in the table below contains observations on age, sex (male = 0, female = 1), number of television sets in the household, cable (no = 0, yes = 1), and number of hours of television watched per week. Using hours of television watched per week as the response, you can use Minitab'sRegressor R'slm()command [e.g., model <- lm(hours~age+sex+num.tv+cable)] to fit a least squares regression model to all the other given variables.

Age: 22,22,50,43,54,24,15,23,34,18,58,19,26,15,21,30,37,44,29,27,30,17,15,21,47,26,13,39,22,20,14,47,21,38,23,32,19,15,21,18
Sex: 0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0
Num. TV: 2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,2,2,2,1,1,2,1,2,1,1,1,2,2,1,1,1,1,1,1,2,1,2,1,1,2
Cable: 1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1
Hours TV: 28,16,18,20,25,14,21,7,12,14,15,12,10,11,12,18,17,20,21,15,17,18,13,21,23,11,10,21,13,12,10,19,12,21,8,16,13,9,11,21

What is the estimated value of the regression coefficient forage?

[1 pt(s)]
Tries 0/3

1.What is the estimated value of the regression coefficient forage?

2.What is the estimated value of the regression coefficient forcable?

3.According to the regression equation, which of the following statements is true? From the data given, one can't tell which gender watches more television per week.Males watch television 3.577 hours more per week than females.Females watch television 3.577 hours more per week than males.Females watch television approximately the same number of hours per week as males.

4.What is the value of the test-statistic for the overall regression significance test?

5.What are the degrees of freedom associated with the test-statistic? Numerator:Denominator:

6.Select the interval below that contains the p-value for this test. p-value 0.0010.001 < p-value 0.010.01 < p-value 0.050.05 < p-value 0.10.1 < p-value 0.25p-value > 0.25

7.Compute a 90% confidence interval for the coefficient forcable. Lower Bound:Upper Bound:

8.Compute a 95% confidence interval for the mean number of hours watched by 18-year old females with cable and 2 TV sets. Lower Bound:Upper Bound:9.Compute a 95% prediction interval for the mean number of hours watched by 18-year old females with cable and 2 TV sets. Lower Bound:Upper Bound:

10.Test whether age and number of TV sets are needed in the model or should be dropped. What is the value of the test-statistic?

11.What are the degrees of freedom associated with this test? Numerator:Denominator:

12.Select the interval below that contains the p-value for this test. p-value 0.0010.001 < p-value 0.010.01 < p-value 0.050.05 < p-value 0.10.1 < p-value 0.25p-value > 0.25

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!