Due January 3, 2022
Week 5: Knowledge Check Chapter 16
Which of the following statements about the backward elimination procedure is false?
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Excel’s Regression tool can be used to perform the ____ procedure.
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In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:
ŷ = 36 + .8x1 − 1.7x2
Also provided are SSR = 60 and SST = 180.
The degrees of freedom associated with SSE are _____.
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In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:
ŷ = 36 + .8x1 − 1.7x2
Also provided are SSR = 60 and SST = 180.
The multiple coefficient of determination is _____.
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The null hypothesis in the Durbin–Watson test is always that there is _____.
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Week 5: Chapter 16 Homework
In a regression analysis involving 25 observations, the following estimated regression equation was developed.
ŷ = 10 – 18x1 + 3x2 + 14x3
Also, the following standard errors and the sum of squares were obtained.
Sb1 = 3 Sb1 = 6 Sb1 = 7
SST = 4,800 SSE = 1,296
The coefficient of x3 _____.
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In a regression model involving 30 observations, the following estimated regression equation was obtained.
ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5
For this model, SSR = 1,740 and SST = 2,000.
The value of MSE is _____.
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In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:
ŷ = 36 + .8x1 − 1.7x2
Also provided are SSR = 60 and SST = 180.
The life expectancy of a rat that was given two units of agent x2 daily, but was not given any protein, is _____.
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Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?
Excel’s Regression tool can be used to perform the ____ procedure.
The null hypothesis in the Durbin–Watson test is always that there is _____. a. positive autocorrelation b. no autocorrelation c. negative autocorrelation d. either positive or negative autocorrelation
In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed: ŷ = 36 + .8x1 − 1.7x2 Also provided are SSR = 60 and SST = 180. If we want to test for the significance of the model, the critical value of F at 95% confidence is _____.
In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed: ŷ = 36 + .8x1 − 1.7x2 Also provided are SSR = 60 and SST = 180. The model _____.
The joint effect of two variables acting together is called _____.
Week 5: Chapter 16 Quiz In a regression model involving 30 observations, the following estimated regression equation was obtained. ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5 For this model, SSR = 1,740 and SST = 2,000. The degrees of freedom associated with SSR are _____.
Below you are given a partial Excel output based on a sample of 25 observations.
We want to test whether the parameter β2 is significant. The test statistic equals _____.
Top of Form In a regression analysis involving 25 observations, the following estimated regression equation was developed. ŷ = 10 – 18x1 + 3x2 + 14x3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 3 Sb1 = 6 Sb1 = 7 SST = 4,800 SSE = 1,296 The coefficient of x2 _____.
Bottom of Form The correlation in error terms that arises when the error terms at successive points in time are related is termed _____.
When dealing with the problem of non-constant variance, the reciprocal transformation means using _____.
Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?
Top of Form In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed: ŷ = 36 + .8x1 − 1.7x2 Also provided are SSR = 60 and SST = 180. From the given function, it can be said that the life expectancy of rats that were given agent x2 is _____.
Serial correlation is_____.
Bottom of Form The parameters of nonlinear models have exponents _____.
In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed: ŷ = 36 + .8x1 − 1.7x2 Also provided are SSR = 60 and SST = 180. The model _____.
What value of Durbin–Watson statistic indicates no autocorrelation is present?
he following model y = β0 + β1x1 + ε is referred to as a _____.
The following regression model y = β0 + β1x1 + β2x2 + ε is known as _____.
In a regression model involving 30 observations, the following estimated regression equation was obtained. ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5 For this model, SSR = 1,740 and SST = 2,000. The degrees of freedom associated with SST are _____.
The forward selection procedure starts with how many independent variable(s) in the multiple regression model?
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