stats quiz 8

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ = 7 - 3x1 + 5x2 ​​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18. The adjusted multiple coefficient of determination for this problem is

.66

In a multiple regression analysis involving 15 independent variables and 200 observations, SST = 800 and SSE = 240. The multiple coefficient of determination is

.700

A regression model involved 5 independent variables and 136 observations. The critical value of t for testing the significance of each of the independent variable's coefficients will have

130 degrees of freedom

In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

14 and 240

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ = 7 - 3x1 + 5x2 ​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18. To test for the significance of the model, the test statistic F is

17.5

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​ = 29 + 18x1 + 43x2 + 87x3 ​ For this model, SSR = 600 and SSE = 400. The computed F statistic for testing the significance of the above model is

20.00

In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

3 and 43

In order to test for the significance of a regression model involving 8 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

8 and 112

A regression analysis involved 8 independent variables and 99 observations. The critical value of t for testing the significance of each of the independent variable's coefficients will have

90 degrees of freedom.

In a regression model involving more than one independent variable, which of the following tests must be used in order to determine if the relationship between the dependent variable and the set of independent variables is significant?

F test

In a multiple regression analysis, SSR = 1000 and SSE = 200. The F statistic for this model is

Not enough information is provided to answer this question

The multiple coefficient of determination is

SSR/SST

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical independent variables in a regression model is called

a dummy variable.

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ = 7 - 3x1 + 5x2​ ​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18. The coefficient of x2 indicates that if television advertisement is increased by $1 (holding the unit price constant), sales are expected to

increase by $5000.

A multiple regression model has the estimated form ​ = 7 + 2x1 + 9x2 ​ As x1 increases by 1 unit (holding x2 constant), y is expected to

increase by 2 units

A multiple regression model has the estimated form ​ = 5 + 6x + 7w ​ As x increases by 1 unit (holding w constant), y is expected to

increase by 6 units

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ = 7 - 3x1 + 5x2 ​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18. The coefficient of the unit price indicates that if the unit price is

increased by $1 (holding advertisement constant), sales are expected to decrease by $3000

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ = 7 - 3x1 + 5x2​ ​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18. To test for the significance of the model, the p-value is

less than .01

A multiple regression model has

more than one independent variable

In multiple regression analysis,

there can be several independent variables, but only one dependent variable.