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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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