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Statistics 501 Homework Assignment 2 ANSWERS
1.
a.
With slope = 0, the line would be horizontal (with same value of mean y) as you moved across the x
values.
b.
A slope = 0 would mean that, on average, y does not change when x is changed. Thus any specific
values of x have no affect on values of y.
A slope not equal to 0 would mean that, on average, y does change when x is changed. Thus a specific
value of x has an affect on values of y.
2.
a.
For testing slope = 0,
p
value = 0.001. We can conclude that the population slope is not 0.
b.
T = Coef/SE Coef = 0.5138/0.3177 = 3.73
c.
Confidence interval estimate of unknown value of the population slope is
0.5138 ± (2.05×0.1377), which is 0.5138 ± 0.2823
For the multiplier, df = 30 – 2 = 28; tmultiplier = 2.05.
d.
(10%)
Source
DF
(degrees of freedom)
SS
(Sum of Squares)
MS
(Mean square)
Regression
1
55.3436.95 =18.39
18.39/1=18.39
Error
30 – 2 = 28
36.95
36.95/28=1.32
Total
30 – 1 = 29
55.34
*************
e.
332
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 Fall '07
 HECKARD,ROBERTF
 Statistics

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