A Statistician Wanted to Determine If the Demographic Variables of Age

question 84

Essay

A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model: where y is the number of hours of television watched last week, x1 is the age (in years), x2 is the number of years of education, and x3 is income (in $1,000). The computer output is shown below. Test the overall validity of the model at the 5% significance level.
What is the test statistic?
F = ______________
______________ Conclude that the model ______________ valid at the 5% level.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related?
What is test statistic?
t = ______________
______________ Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related?
What is the test statistic?
t = ______________
______________ Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related.
What is the coefficient of determination? = ______________
Interpret this value for :
________________________________________________________
Interpret :
________________________________________________________
Interpret :
________________________________________________________
Interpret :
________________________________________________________

---

Definitions:

Walter Lippmann

An influential American writer, reporter, and political commentator known for being one of the first to introduce the concept of the "cold war" and for his deep analyses of public affairs.

American Voters

The citizens of the United States who are eligible to vote in local, state, and federal elections, contributing to the democratic process by selecting public officials and deciding on public issues.

Bruce Barton

An American author, advertising executive, and politician noted for his 1925 book "The Man Nobody Knows," which presented Jesus Christ as "the founder of modern business."

Business Depiction

The representation or portrayal of business practices, environments, or scenarios in various forms of media and literature.