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Exercises. 1. The following model was fitted to data on 28 insurance companies.

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1. The following model was fitted to data on 28 insurance companies.

;

where

price-earning ratio

size of insurance company assets, in millions of dollars

dummy variable, taking the value 1 for foreign companies,

and 0 for national companies

a) Interpret the estimated coefficient on the dummy variable

b) Test against a two-sided alternative the null hypothesis that the true coefficient on the dummy variable is zero. Take

2. The following model was fitted, to explain the selling prices of home, to a sample of 815 sales.

where

selling price of home, in thousands of dollars

square meters of living area

size of garage, in square of meters

dummy variable taking the value 1 if the house has a fireplace,

and 0 otherwise

dummy variable taking the value 1 if the house has a wood floors, and 0 otherwise

a) Interpret the estimated coefficient of .

b) Interpret the estimated coefficient of .

c) Find a 95% confidence interval for the impact of fireplace on a selling price, all other being equal.

d) Test the null hypothesis that type of flooring has no impact on selling price, against the alternative that, all other things equal, house with wood floors have a higher selling price than other flooring.

3. The following MINITAB solution was obtained for the regression model

for a sample data set.


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Читайте в этой же книге: Predictor Coef St. dev. T P | Predictor Coef St. dev. T P | Confidence interval for individual coefficients | Predictor Coef St. dev. T P | Source DF SEQ SS | Test of hypothesis about individual coefficients | Predictor Coef St. dev. T P | Tests on sets of regression parameters | Dummy variables in the regression models | Introduction |
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