BANA 3363 EXAM 4 QUESTIONS WITH CORRECT ANSWERS
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is: - Answer-H 0: β 1 = β 2 = β 3 = β 4 = 0
In a multiple regression model, the value of the R-squared has to fall betwee...
In testing the validity of a multiple regression model in which there are four independent
variables, the null hypothesis is: - Answer-H 0: β 1 = β 2 = β 3 = β 4 = 0
In a multiple regression model, the value of the R-squared has to fall between - Answer-
0 and +1.
In order to test the validity of a multiple regression model involving 5 independent
variables and 30 observations, the numerator and denominator degrees of freedom for
the critical value of F are, respectively, - Answer-5 and 24
A multiple regression model has the form: y ̂ = 5.25 + 2 x 1 + 6 x 2 . As x 2 increases by
FIve units, holding x 1 constant, then the value of y is predicted to increase by: -
Answer-30 units
In multiple regression analysis, the ratio MSR/MSE yields the: - Answer-F-test statistic
for testing the validity of the regression equation.
In testing the hypotheses: H 0: β 1 = 0 vs. H 0: β 1 ≠ 0, the following statistics are
available: n=10 , b 1=2.45 , se( b 1)=1.20, and y ̂ = 6. The value of the test statistic is: -
Answer-2.042
The confidence interval estimate of the expected value of y will be narrower than the
prediction interval for the same given value of x and confidence level. This is because
there is less error in estimating a mean value as opposed to predicting an
individual value. - Answer-True
A confidence interval estimate for the expected value of y will always be wider than the
prediction interval for the same given value of x and the same confidence level. -
Answer-False
In testing the hypotheses: H 0: β 1 = 0 vs. H 0: β 1 ≠ 0, the following statistics are
available: n=10 , b 1=2.45 , se( b 1)=1.20, and y ̂ = 6. The value of the test statistic is: -
Answer-2.042
A multiple regression model has: - Answer-more than one independent variable.
The R-squared ranges from: - Answer-0.0 to 1.0.
A multiple regression model involves 10 independent variables and 30 observations.
Suppose we want to test at the 5% significance level whether one (not all) of the
coefficients is equal to 0 (versus not equal to 0). - Answer-2.093
, The confidence interval estimate of the expected value of y will be narrower than the
prediction interval for the same given value of x and confidence level. This is because
there is less error in estimating a mean value as opposed to predicting an individual
value. - Answer-True
A multiple regression model has: - Answer-more than one independent variable.
In order to test the validity of a multiple regression model involving 5 independent
variables and 30 observations, the numerator and denominator degrees of freedom for
the critical value of F are, respectively, - Answer-5 and 24
In multiple regression analysis, the ratio MSR/MSE yields the: - Answer-F-test statistic
for testing the validity of the regression equation.
A prediction interval is used when we want to predict a one-time occurrence for a
particular value of y when the independent variable is a given x value. - Answer-True
A multiple regression model has the form: y ̂ = 5.25 + 2 x 1 + 6 x 2 . As x 2 increases by
one unit, holding x 1 constant, then the value of y will increase by: - Answer-6 units on
average
In testing the validity of a multiple regression model in which there are four independent
variables, the null hypothesis is: - Answer-H 0: β 1 = β 2 = β 3 = β 4 = 0
A multiple regression model has: - Answer-more than one independent variable
Suppose you have the following results from a regression analysis:
n = 32b0 = 0.567se(b0) = 1.365b1 = 3.698se(b1) = 1.725R-squared = 0.76 What is your
decision regarding the null hypothesis as to whether the dependent variable and the
explanatory variable are related? (Use a 1% significance level.) - Answer-Fail to reject H
0
In order to predict with 98% confidence the expected value of y for a given value of x in
a simple linear regression problem, a random sample of 15 observations is taken.
Which of the following t-table values listed below would be used? - Answer-2.650
To test the validity of a multiple regression model, we test the null hypothesis that the
regression coefficients are all zero by applying the: - Answer-F-test
A multiple regression equation has an R-squared of 0.81. Then, the percentage of the
variation in y that is explained by the regression equation is 90% - Answer-False
A multiple regression model has the form y ̂ = 8+ 3 x 1+ 5 x 2 - 4 x 3. As x 3 increases by
one unit, with x 1 and x 2 held constant, the y on average is - Answer-decrease by 4
units.
A regression analysis between weight (y in pounds) and height (x in inches) resulted in
the following least squares line: y ̂ = 135 + 6 x . This implies that if the height is
increased by 10 inches, the weight is expected to increase by an average of 195
pounds. - Answer-False
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