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Q1) Market model relating rate of return of stock XYZ (denoted RXYZ) to rate of return of a broader index of stock market (denoted RM) is reported as: RXYZ = 4.46 + 0.304RM
Coefficient
Standard Error
4.460
3.0400
0.304
0.3243
Analysis of Variance
Source
DF
Sum of Squares
Regression
?
141.9
Residual
3718.9
Total
24
Which of given is an suitable null hypothesis?
a) H0: beta1 = 0
b) H0: beta1 = beta0
c) H0: beta1 ≠ 0
d) H0: beta1 ≠ beta0
Q2) What can be done to remedy multicollinearity?
a) Use ANOVA instead of Regression.
b) Drop variables which are correlated from the model.
c) Add dummy variables to prevent problem.
d) None of the above.
Q3) You have been given report which presents 2 regression models with different numbers of independent variables. You don't have the data so you can't recalculate regression models. However, you have been asked to find out which model is better. How can you reasonably compare them?
a) Use R-square
b) Use Adjusted R-square
c) Use coefficient of determination
d) You can't compare models with different numbers of independent variables.
Find a 90% confidence interval for the mean amount left by all groups.
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Problems on Sampling Variability and Standard Error and Confidence Intervals
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are:
The population of lengths of aluminium-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
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Using the original data, estimate the population standard deviation with 90% probability.
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