11.30 A simpler model. In the multiple regression analysis
using all four explanatory variables, Theaters and Budget appear to
be the least helpful (given that the other two explanatory
variables are in the model).
(a) Perform a new analysis using only the movie’s
opening-weekend revenue and IMDb rating. Give the estimated
regression equation for this analysis.
(b) What percent of the variability in USRevenue is explained by
this model?
(c) Test the null hypothesis that Theaters and Budget combined
add...
With respect to the market multiple model, name and describe
some of the advantages/disadvantages of both the Discounted Cash
Flow (DCF) and the Residual Operating Income (ROPI) valuation
models.
Durbin Watson
In a multiple regression analysis containing four explanatory
variables plus a constant with 50 data points, suppose that the
errors are serially correlated and test is applied to the
regression to investigate this issue. The test statistic takes a
value of 2.92 with 5 % significance level.
1- Identify the problem that the
researcher may face?
2- What is the appropriate test and
conclusion when the researcher test this issue? (State the
hypothesis tests, all critical values, test statistics and...
suppose a regression model has two explanatory variables (x and z).
If we add a new variable to to the model (m), and this new variable
is correlated to x and z, how would we use the new variable m to
test the impact of variable x on our dependent variable y when z
and m remain the same?
6) Suppose a multinomial regression model has two continuous
explanatory variables ?1 and ?2 ,and they are represented in the
model by their linear and interaction terms.
a) For a ? unit increase in ?1, derive the corresponding odds ratio
that compares a category ? response to a category 1 response. Show
the form of the variance that would be used in a Wald confidence
interval.
b) Repeat this problem for a proportional odds regression
model.
Answer the following questions:
In the multiple explanatory variable regression model, define
the partial correlation coefficients, explain how they are
interpreted, and how do the interpretations differ from the
coefficients of the single explanatory variable regression
model?
Explain the t-tests of the partial correlation
coefficients. Have they changed?
Explain how the coefficient of determination has changed and
why.
Explain how the null hypothesis has change for the F-test as
compared to a single explanatory variable regression model.
Answer the following questions:
In the multiple explanatory variable regression model, define
the partial correlation coefficients, explain how they are
interpreted, and how do the interpretations differ from the
coefficients of the single explanatory variable regression
model?
Explain the t-tests of the partial correlation coefficients.
Have they changed?
Explain how the coefficient of determination has changed and
why.
Explain how the null hypothesis has change for the F-test as
compared to a single explanatory variable regression model.
1. A multiple linear regression model should not be used
if:
A The variables are all statistically significant.
B The coefficient of determination R2 is large.
C Both of the above.
D Neither of the above.
2. Consider a multiple linear regression model where the output
variable is a company's revenue for
different months, and the purpose is to investigate how the revenue
depends upon the company's advertising budget. The input variables
can be time-lagged so that the first input...