Regression Analysis
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 _____.







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 lifeextending 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 _____.






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 lifeextending 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 lifeextending 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 _____.
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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 nonconstant 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 lifeextending 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_____.
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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 lifeextending 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?
