Unformatted text preview: 32. Suppose we have information on the monthly innI: mi the monthly rents paid
by a sample of families. In the regression of My lady) on the monthly
incomdx) for these data (y=a+bx+u), the vahleuf a will repesent: [email protected] the point where the regression line intersects the yﬂis
b. the point where the regression line intersccts the x—axis
c. an increase in the monthly rent paid by a Emily (beta a 51 increase in income
d. an increase of the income of a family due to a 31 human in the monthly rent
paid
6. none of the above 33. Assume we study the relationship between Y, expenditure of households, and
X, the total income of household (in thousands). The my data are: n:10, the mean ofx is 35, the mean ofy is 10, 2x? =10000, ny =1200 , and
2 x04 = 4500 . The ﬁtted least squares regression Hm: has slope equal to: Ul tots10 3 a. 5/44 4 x b.11/88 , 55“ Icon
= .__—— —. .._a— ._ ,ll
. _ I‘ To“!!! 0‘3’ —:
J®neoftheabove 55"” ' qsoo ' L3 .5? it ' ‘000
(never ncjﬂi‘vm) so“) L
99m= mono  in = , ”go I o
34. Consider the following sample regression line: Testscore=698.9—2.28*absence .
Variable, absence, is the total time a student is absent from lectures. You are asked to test the hypothesis: H0 :1) = 0 v.3. HI :1) :t 0 , where b is the slope of the regression model. You are also told that the t—statistic on the slope coefﬁcient is
4.38. What is the standard deviation of the slope coeﬁicient (round to hundredths):
® T. "/s.<:L= £4.35 £41.53
a. .52 ”2.2.51 = = 4.3.8
0. 0.27 gab :5 052; d. The information given is not sufﬁcient todo the calculation
e. None of the above. 35. In the context of the previous question, if a student reduces his/her absence time
from 10 to 5, what is the expected change in his/her testscore: J @mrease by 5*2.28
b. decrease by 5*228 0. increase by 698.9+5*2.28
/d./ decrease by 698.9—5*2.28
e. None of the above. ...
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 Spring '07
 Guggenberger

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