The Y-intercept ( b 0) represents the
predicted value of Y when X = 0.
change in estimated Y per unit change in X.
predicted value of Y.
variation around the sample regression line. - Answers predicted value of Y when X = 0
The slope ( b 1) represents
predicted value of Y when X = 0.
the estimated average change in Y per unit change in X.
the predicted value of Y.
variation around the line of regression. - Answers the estimated average change in Y per unit change
in X.
The Chancellor of a university has commissioned a team to collect data on students' GPAs and the
amount of time they spend bar hopping every week (measured in minutes). He wants to know if
imposing much tougher regulations on all campus bars to make it more difficult for students to spend
time in any campus bar will have a significant impact on general students' GPAs. His team should use
a t test on the slope of the population regression. (T/F) - Answers True
TABLE 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" ( Y) is regressed on "percentage attendance" ( X) for 22 students in a Statistics for Business
and Economics course.
Referring to Table 13-6, which of the following statements is true?
14.26% of the total variability in score received can be explained by percentage attendance.
14.2% of the total variability in percentage attendance can be explained by score received.
2% of the total variability in score received can be explained by percentage attendance.
2% of the total variability in percentage attendance can be explained by score received. - Answers
2% of the total variability in score received can be explained by percentage attendance.
TABLE 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" ( Y) is regressed on "percentage attendance" ( X) for 22 students in a Statistics for Business
and Economics course.
Referring to Table 13-6, which of the following statements is true?
If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage
point.
If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage
points.
If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage
points.
If the score received increases by 39.39%, the estimated mean attendance will go up by 1%. -
Answers If attendance increases by 1%, the estimated mean score received will increase by 0.341
percentage points.
The residuals represent
the difference between the actual Y values and the mean of Y.
the difference between the actual Y values and the predicted Y values.
the square root of the slope.
, the predicted value of Y for the average X value. - Answers the difference between the actual Y
values and the predicted Y values
The strength of the linear relationship between two numerical variables may be measured by the
scatter plot.
coefficient of correlation.
slope.
Y-intercept. - Answers coefficient of correlation.
In a simple linear regression problem, r and b 1
may have opposite signs.
must have the same sign.
must have opposite signs.
are equal. - Answers must have the same sign.
A computer software developer would like to use the number of downloads (in thousands) for the
trial version of his new shareware to predict the amount of revenue (in thousands of dollars) he can
make on the full version of the new shareware. Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Referring to table 13-11, which of the following is the correct interpretation for the slope coefficient?
For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $
3.7297 thousands.
For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $
3.7297 thousands.
For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is
estimated to increase by 3.7297 thousands.
For each increas - Answers For each increase of 1 thousand downloads, the expected revenue is
estimated to increase by $ 3.7297 thousands.
TABLE 13-11
A computer software developer would like to use the number of downloads (in thousands) for the
trial version of his new shareware to predict the amount of revenue (in thousands of dollars) he can
make on the full version of the new shareware. Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Referring to Table 13-11, which of the following is the correct interpretation for the coefficient of
determination?
Answers:
74.67% of the variation in revenue can be explained by the variation in the number of downloads.
75.54% of the variation in revenue can be explained by the variation in the number of downloads.
74.67% of the variation in the number of downloads can be explained by the variation in revenue.
75.54% of the variation in the number of downloads can - Answers 75.54% of the variation in revenue
can be explained by the variation in the number of downloads.