SCENARIO 14-6
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X 1 ) and the amount of insulation in inches ( X 2 ). Given below is EXCEL output of the regression model.

Also SSR (X 1 | X 2 ) = 8343.3572 and SSR (X 2 | X 1 ) = 4199.2672
-Referring to Scenario 14-5,the observed value of the F-statistic is given on the printout as 25.432.What are the degrees of freedom for this F-statistic?
A)25 for the numerator,2 for the denominator
B)2 for the numerator,23 for the denominator
C)23 for the numerator,25 for the denominator
D)2 for the numerator,25 for the denominator

Question

SCENARIO 14-6
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X 1 ) and the amount of insulation in inches ( X 2 ). Given below is EXCEL output of the regression model.

Also SSR (X 1 | X 2 ) = 8343.3572 and SSR (X 2 | X 1 ) = 4199.2672
-Referring to Scenario 14-5,the observed value of the F-statistic is given on the printout as 25.432.What are the degrees of freedom for this F-statistic?
A)25 for the numerator,2 for the denominator 
B)2 for the numerator,23 for the denominator 
C)23 for the numerator,25 for the denominator 
D)2 for the numerator,25 for the denominator

Quizplus · Accepted Answer

The degrees of freedom for the F-statistic typically consist of two numbers: the numerator degrees of freedom and the denominator degrees of freedom. The numerator degrees of freedom are associated with the model's number of independent variables (or groups minus one in ANOVA), and the denominator degrees of freedom are related to the sample size minus the number of parameters being estimated (or groups). Without specific details from Scenario 14-5, the most common scenario for an F-test in regression or ANOVA involves comparing a model with predictors to a model without (or different models), where "2 for the numerator" suggests 2 groups or variables being tested, and "23 for the denominator" suggests the sample size minus the number of parameters estimated is 23, which is typical for a relatively small sample size after accounting for the model parameters.

SCENARIO 14-6 One of the Most Common Questions of Prospective House Buyers