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1. A regression analysis yields the following information: 0.0, 4.05 6.842, 9.49

ID: 3049226 • Letter: 1

Question

1. A regression analysis yields the following information:

0.0, 4.05

6.842, 9.497

4.15, 12.25

2.67, 5.33

2. A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

Stepwise regression

Residual analysis

Simple linear regression

ANOVA

3.

Consider a regression model involving more than one independent variable. The test used to determine if the relationship between the dependent variable and the set of independent variables is significant is the ________.

chi-square test

z-test

F-test

test

4. Consider the multiple regression model shown next between the dependent variable Y and three independent variables X1, X2, and X3, which result in the following function:

4.02

3.83

2.53

2.61

5. If a data set of 10 observations is used in a multiple regression analysis with 10 independent variables, then ________.

R2 will be equal to 1.0

The multiple standard error of the estimate will be 1.0

The independent variables will be correlated

The regression coefficients will all equal 1.0

6.

In regression, the difference between the confidence interval and prediction interval formulas is ________.

the prediction interval is the square root of the confidence interval

the prediction interval uses r2 and the confidence interval uses r

the addition of "1" to the quantity under the radical sign

no difference.

7.

The variance inflation factor can be used to reduce multicollinearity by ________.

Testing the null hypothesis that all regression coefficients equal zero

Decreasing homoscedasticity

Evaluating the distribution of residuals

Eliminating variables for a multiple regression model

7.

X = -12.8094 + 2.1794

= -12.80894 + 2.1794X

= 2.1794 - 12.8094X

12.8094 X = 2.1794

0.0, 4.05

6.842, 9.497

4.15, 12.25

2.67, 5.33

Explanation / Answer

sOLUTIONb:

2. A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

Stepwise regression is a method of fitting regression models in which a variable is considered for addition of subtraction form the ste of explanatory variables based on some specified criterion.

Stepwise regression

ANOVA

3.

Consider a regression model involving more than one independent variable. The test used to determine if the relationship between the dependent variable and the set of independent variables is significant is the ________.

ANOVA or F test

Is used to test model significance.

Solution6:

prediction interval has 1 and confidenc interval has 1/n

predction interval is

y^+/tSesqrt(1+1/n+(xg-xbar)^2/(n-1)Sx^2)

Confidence interval is

y^+/tSesqrt(1/n+(xg-xbar)^2/(n-1)Sx^2)

prediction interval is used to estimate the value of one value of y at given x

confidence interval used to estiamte the mean value of y(at given x)

ANSWER:

the addition of "1" to the quantity under the radical sign

the addition of "1" to the quantity under the radical sign

Stepwise regression