QMB 3250 EXAM 2 QUESTIONS
WITH COMPLETE SOLUTIONS
In Multiple Regression with k coefficients, what null hypothesis (H0),
does the ANOVA F-test try to determine? -- Answer ✔✔ Ho: β1 = β2= β3
. . . .= βk= 0
It is thought that the number of cans damaged in a boxcar shipment (Y
) of cans is a function of the speed of the boxcar (X) at impact.
Thirteen(13) boxcars selected at random were used to examine
whether this appeared to be true. b1 = 11.841
What would be the appropriate null and alternate hypothesis for this
experiment? -- Answer ✔✔ Ho: β1 = 0 Ha: β1 ≠ 0
Which of the following should be done when you see that a residual
plot has a distinct funnel shape? -- Answer ✔✔ take the natural log of
one or both variables
Which of the following is not an assumption of simple linear
regression? -- Answer ✔✔ Errors must have a standard deviation of 1.
In simple linear regression, what kind of predictor do we use for our
response variable? -- Answer ✔✔ quantitative
, Which of the following is NOT a goal of simple linear regression (SLR)?
-- Answer ✔✔ To determine if the coefficient of determination (R2) is
100%.
In the simple linear regression model, what do we use to estimate β1?
-- Answer ✔✔ b1
which of these options is the best definition of extrapolation? -- Answer
✔✔ using an x value far from observed x values to predict a y value
outlier -- Answer ✔✔ a point with a y-value far outside of the trend of
data
high leverage point -- Answer ✔✔ a point with a x-value far from the
sample mean of x
influential point -- Answer ✔✔ a point that is unusual in either x or y
values and that changes the slope of the line it is used to fit
in a scatterplot of flight departure time versus arrival time, what does
the point (400,400) represent? -- Answer ✔✔ leverage point
does a point that has high leverage have to be an outlier? -- Answer
✔✔ no
does a point that is influential have to be an outlier? -- Answer ✔✔ no
WITH COMPLETE SOLUTIONS
In Multiple Regression with k coefficients, what null hypothesis (H0),
does the ANOVA F-test try to determine? -- Answer ✔✔ Ho: β1 = β2= β3
. . . .= βk= 0
It is thought that the number of cans damaged in a boxcar shipment (Y
) of cans is a function of the speed of the boxcar (X) at impact.
Thirteen(13) boxcars selected at random were used to examine
whether this appeared to be true. b1 = 11.841
What would be the appropriate null and alternate hypothesis for this
experiment? -- Answer ✔✔ Ho: β1 = 0 Ha: β1 ≠ 0
Which of the following should be done when you see that a residual
plot has a distinct funnel shape? -- Answer ✔✔ take the natural log of
one or both variables
Which of the following is not an assumption of simple linear
regression? -- Answer ✔✔ Errors must have a standard deviation of 1.
In simple linear regression, what kind of predictor do we use for our
response variable? -- Answer ✔✔ quantitative
, Which of the following is NOT a goal of simple linear regression (SLR)?
-- Answer ✔✔ To determine if the coefficient of determination (R2) is
100%.
In the simple linear regression model, what do we use to estimate β1?
-- Answer ✔✔ b1
which of these options is the best definition of extrapolation? -- Answer
✔✔ using an x value far from observed x values to predict a y value
outlier -- Answer ✔✔ a point with a y-value far outside of the trend of
data
high leverage point -- Answer ✔✔ a point with a x-value far from the
sample mean of x
influential point -- Answer ✔✔ a point that is unusual in either x or y
values and that changes the slope of the line it is used to fit
in a scatterplot of flight departure time versus arrival time, what does
the point (400,400) represent? -- Answer ✔✔ leverage point
does a point that has high leverage have to be an outlier? -- Answer
✔✔ no
does a point that is influential have to be an outlier? -- Answer ✔✔ no
