1.
The coefficient of determination (R
2
) for the regression of the full
model is
0.596504894
.
2.
The proportion of variation in the rent explained by its linear
regression on the explanatory variables is
0.575193533
when we
adjust for the degrees of freedom.
3.
In order to explain the explanatory power of the full model the
appropriate hypothesis test is the
(a) Overall Ftest
4.
The degrees of freedom associated with the test statistic in part 3 is
(are)
(d) 15 and 284
.
5.
The value of the test statistic in part 3 is
27.98999498
corresponding pvalue given by
2.372E47 = 2.372e47
.
6.
At 5% level, based on the results of the test discussed in parts 3. to
5. we can conclude that the model estimated for explaining rent
(a)
has sufficient explanatory power,
.
7.
At 5% level, based on the full regression model, the appropriate test
for evaluating the positive effect of the average size of bedrooms on
rent of an apartment is a (an)
(b) Individual ttest
.
8.
The degrees of freedom associated with the test statistic in part 7 is
(b) 284
.
9.
In the full model, the value of the commonly used test statistic and
the pvalue for testing whether the average size of a bedroom has
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View Full Documentany impact on the rent of the apartment are
7.721646456
and
1.9754E13 = 1.9754e13
, respectively.
10.At 5% level, based on the results of the test discussed in parts 7. to
9. we can conclude that the average bedroom size
1.
(a) has no effect on rent
2.
(b) has no positive effect on rent
3.
(c) has no negative effect on rent
4.
(d) has a positive effect on rent
5.
(e) has a negative effect on rent
6.
(f) has some effect on rent
11.
Ignoring the result of the test of significance in parts 7. to 10., based
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 Spring '09
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