BANA 3363 QUIZ QUESTIONS WITH COMPLETE SOLUTIONS
In regression analysis, if the R-squared is 1.0, then: - Answer-the sum of squares for error must be 0.0
If the R-squared is 0.95, this means that 95% of the y values were predicted correctly by the regression line. - Answer-False
In the simpl...
BANA 3363 QUIZ QUESTIONS WITH
COMPLETE SOLUTIONS
In regression analysis, if the R-squared is 1.0, then: - Answer-the sum of squares for
error must be 0.0
If the R-squared is 0.95, this means that 95% of the y values were predicted correctly by
the regression line. - Answer-False
In the simple linear regression model, the population parameters of the y-intercept and
the slope are, respectively, - Answer-β0 and β1
A regression analysis between sales and advertising resulted in the following least
squares line: ŷ = 4000 + 6 x . This implies that if advertising is $800, then the predicted
amount of sales (in dollars) is: - Answer-$8,800
A regression analysis between sales (in $1000) and advertising (in $100) resulted in the
following least squares line: ŷ = 77+8 x. This implies that if advertising is $600, then the
predicted amount of sales (in dollars) is $125,000. - Answer-True
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
In a multiple regression analysis involving k independent variables and n data points,
the number of degrees of freedom associated with the sum of squares for error is: -
Answer-n - k - 1
In order to test the significance of a multiple regression model involving 4 independent
variables and 25 observations, the numerator and denominator degrees of freedom for
the critical value of F are 3 and 21, respectively. - Answer-False
The R2 measures the proportion of variation in y that is explained by the explanatory
variables included in the model. - Answer-True
Suppose you have the following results from a regression analysis:
n = 32
b0 = 0.567
Sbo = 1.365
b1 = 3.698
Sb1 = 1.725
R-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 estimate with 95% confidence the expected value of y for a given value of x
in a simple linear regression problem, a random sample of 10 observations is taken.
, Which of the following t-table values listed below would be used? - Answer-2.306
A multiple regression equation includes 5 independent variables, and the R-squared is
0.81. The percentage of the variation in y that is explained by the regression equation
is: - Answer-81%
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
In multiple regression analysis, the ratio MSR/MSE yields the: - Answer-F-test statistic
for testing the validity of the regression equation.
The temperature readings for 20 winter days (degrees Fahrenheit) in Grand Rapids,
Michigan, are normally distributed with a mean of 5.5 degrees. The population standard
deviation is 1.5 degrees. Determine the 99% confidence interval estimate for the winter
mean temperature. - Answer-LCL = 4.6363 degrees and UCL = 6.3637 degrees.
We typically know the value of a parameter, while we don't the the value of a statistic. -
Answer-False
We usually can calculate the value of a parameter, while we are unable to calculate the
value of a statistic. - Answer-False
A graduate student at SHSU wants to estimate the proportion of first-year students who
were first-generation college students last year at SHSU. He randomly chooses 100
students from last year and calculates that 45.6% were first-generation college
students. The sample statistic is: - Answer-the proportion of the randomly chosen 100
SHSU students who were first-generation college students.
The units for the standard deviation are the same as the units for the original data (for
example, feet, inches, etc.). - Answer-True
If a sample of size 50 has a sample mean of 20, then the sum of all observations in the
sample is 1,000. - Answer-True
X is a normal variable with mean of -8 and variance of 97. What is the z-statistic when x
= 3? - Answer-1.12 ± 5%
Which of the following statistics is a measure of central location? - Answer-All of these
choices are true
What is the variance of a variable that has a standard normal distriubtion? - Answer-is
always equal to 1.0.
A graduate student at SHSU wants to estimate the proportion of first-year students who
were first-generation college students last year at SHSU. He randomly chooses 100
students from last year and calculates that 45.6% were first-generation college
students. The sample of interest to the researcher is: - Answer-the 100 SHSU students
who the researcher randomly chose.
A sample of size n is selected at random from an infinite population. As n increases,
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