Homework Answers
(a) HS, Expenditures and Age > 65 are statistically significant.
| coefficient | std. error | t-ratio | p-value | |
| cons | 439.285 | 172.698 | 2.54366 | 0.014559 |
| income | 0.005538 | 0.006808 | 0.813378 | 0.420381 |
| poverty | 185.02 | 652.611 | 0.283507 | 0.778118 |
| HS | -462.801 | 135.031 | -3.42737 | 0.001333 |
| College | -450.472 | 379.835 | -1.18597 | 0.242 |
| Expenditures | 0.100872 | 0.028404 | 3.551393 | 0.000927 |
| Age > 65 | 4447.17 | 390.724 | 11.38187 | 1.06E-14 |
(b) 89.439% of the variation in the model is explained.
(c) The hypothesis being tested is:
H0: β1 = β2 = β3 = β4 = β5 = β6 = 0
H1: At least one βi ≠ 0
The p-value is 0.000.
Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the model is significant.
(d) The F-test would be used here.
The hypothesis being tested is:
H0: β1 = β2 = 0
H1: At least one βi ≠ 0
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2. Multiple restriction test You have just been hired at the Center for Disease Control in...
1.Which variables are statistically significant at the 5% level? 2.Which variables are statistically significant at the...
1.Which variables are statistically significant at the 5%
level?
2.Which variables are statistically significant at the 10%
level?
3.Which variables are insignificant?
4.Please present the correlation matrix of the independent
variables.
5.Please run the White test for heteroskedasticity, with
cross-products AND PRESENT YOUR RESULTS. Please explain whether the
test is significant or not.
6.If the White test is significant, please present the
heteroskedasticity-consistent White regression results.
7.Can you test this model for autocorrelation? Why of why not?
If you do,...
1. Autocorrelation test Given the model Consumption, = a + B.Year + B Disposible Income, +E,...
1. Autocorrelation test Given the model Consumption, = a + B.Year + B Disposible Income, +E, and the estimated model: Model 1: OLS, using observations 1959-1995 (T = 37) Dependent variable: c t-ratio p-value const time Disposable Income Coefficient Std. Error 2707.84 385.254 80.9122 13.6539 0.508123 0.0460444 Mean dependent var Sum squared resid R-squared F(2, 34) Log-likelihood Schwarz criterion rho 11328.65 304975.4 0.998650 12577.63 -219.3165 449.4657 0.551018 S.D. dependent var S.E. of regression Adjusted R-squared P-value(F) Akaike criterion Hannan-Quinn Durbin-Watson...
Attached are the results of a diagnostic test on an estimated model, autocorrelation, heteoskedasticity and non-normal...
Attached are the results of a diagnostic test on an estimated
model, autocorrelation, heteoskedasticity and non-normality
respectivey, can you please comment on the results and state the
conclusion for each test using a 5% significance level
Breusch-Godfrey Serial Correlation LM Test F-statistic Obs R-squared 0.7659 0.7612 0.458959 Prob. F(4,438) 1.861565 Prob. Chi-Square(4) Test Equation: Dependent Variable: RESID Method: Least Squares Date: 05/22/19 Time: 22:02 Sample: 1982M01 2019M02 Included observations: 446 Presample missing value lagged residuals set to zero. Coefficient Std....
Consider the regression output below and answer each question. The frequency is quarterly,and the variables are...
Consider the regression output below and answer each question.
The frequency is quarterly,and the variables are defined at annual
rates as follows: INT_RATE_3M is the 3-Month Treasury Bill,
INF_RATE is the inflation rate, UNRATE is the unemployment rate,
and EMP_GROWTH corresponds to the employment growth rate.
a)How is the goodness of fit? How can you tell?
b)For each of the 3 independent variables in the regression,
state if their coefficient is statistically significant at 5%
level.
c)For the same variables...
2. Use the data in hpricel.wfl uploaded on Moodle for this exercise. We assume that all assump- tions of the Classical Linear Model are satisfied for the model used in this question....
2. Use the data in hpricel.wfl uploaded on Moodle for this exercise. We assume that all assump- tions of the Classical Linear Model are satisfied for the model used in this question. (a) Estimate the model and report the results in the usual form, including the standard error of the regression. Obtain the predicted price when we plug in lotsize - 10, 000, sqrft - 2,300, and bdrms- 4; round this price to the nearest dollar. (b) Run a regression...
The following ANOVA model is for a multiple regression model with two independent variables: Degrees of Sum of Mean Source Freedom Squares ...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...
1.Which variables are statistically significant at the 5%
level?
2.Which variables are statistically significant at the 10%
level?
3.Which variables are insignificant?
4.Please present the correlation matrix of the independent
variables.
5.Please run the White test for heteroskedasticity, with
cross-products AND PRESENT YOUR RESULTS. Please explain whether the
test is significant or not.
6.If the White test is significant, please present the
heteroskedasticity-consistent White regression results.
7.Can you test this model for autocorrelation? Why of why not?
If you do,...
1. Autocorrelation test Given the model Consumption, = a + B.Year + B Disposible Income, +E, and the estimated model: Model 1: OLS, using observations 1959-1995 (T = 37) Dependent variable: c t-ratio p-value const time Disposable Income Coefficient Std. Error 2707.84 385.254 80.9122 13.6539 0.508123 0.0460444 Mean dependent var Sum squared resid R-squared F(2, 34) Log-likelihood Schwarz criterion rho 11328.65 304975.4 0.998650 12577.63 -219.3165 449.4657 0.551018 S.D. dependent var S.E. of regression Adjusted R-squared P-value(F) Akaike criterion Hannan-Quinn Durbin-Watson...
Attached are the results of a diagnostic test on an estimated
model, autocorrelation, heteoskedasticity and non-normality
respectivey, can you please comment on the results and state the
conclusion for each test using a 5% significance level
Breusch-Godfrey Serial Correlation LM Test F-statistic Obs R-squared 0.7659 0.7612 0.458959 Prob. F(4,438) 1.861565 Prob. Chi-Square(4) Test Equation: Dependent Variable: RESID Method: Least Squares Date: 05/22/19 Time: 22:02 Sample: 1982M01 2019M02 Included observations: 446 Presample missing value lagged residuals set to zero. Coefficient Std....
Consider the regression output below and answer each question.
The frequency is quarterly,and the variables are defined at annual
rates as follows: INT_RATE_3M is the 3-Month Treasury Bill,
INF_RATE is the inflation rate, UNRATE is the unemployment rate,
and EMP_GROWTH corresponds to the employment growth rate.
a)How is the goodness of fit? How can you tell?
b)For each of the 3 independent variables in the regression,
state if their coefficient is statistically significant at 5%
level.
c)For the same variables...
2. Use the data in hpricel.wfl uploaded on Moodle for this exercise. We assume that all assump- tions of the Classical Linear Model are satisfied for the model used in this question. (a) Estimate the model and report the results in the usual form, including the standard error of the regression. Obtain the predicted price when we plug in lotsize - 10, 000, sqrft - 2,300, and bdrms- 4; round this price to the nearest dollar. (b) Run a regression...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...
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