Homework Answers
Answer:
a).
F statistic =36.50
P value is 0.0002 ( or < 0.05)
The regression model is significant. (Or x1 and x2 are significantly related to y)
b).
t test for β1
t=7.68
P value is 0.0001 ( or < 0.05)
β1 is significant.
c).
t test for β2
t=4.59
P value is 0.0025 ( or < 0.05)
β2 is significant.
|
Regression Analysis |
|||||||
|
R² |
0.913 |
||||||
|
Adjusted R² |
0.888 |
n |
10 |
||||
|
R |
0.955 |
k |
2 |
||||
|
Std. Error of Estimate |
13.775 |
Dep. Var. |
y |
||||
|
Regression output |
confidence interval |
||||||
|
variables |
coefficients |
std. error |
t (df=7) |
p-value |
95% lower |
95% upper |
|
|
Intercept |
a = |
-21.840 |
20.371 |
-1.072 |
.3192 |
-70.009 |
26.330 |
|
x1 |
b1 = |
2.036 |
0.265 |
7.676 |
.0001 |
1.409 |
2.663 |
|
x2 |
b2 = |
4.821 |
1.051 |
4.587 |
.0025 |
2.336 |
7.305 |
|
ANOVA table |
|||||||
|
Source |
SS |
df |
MS |
F |
p-value |
||
|
Regression |
13,853.358 |
2 |
6,926.679 |
36.50 |
.0002 |
||
|
Residual |
1,328.242 |
7 |
189.749 |
||||
|
Total |
15,181.600 |
9 |
|||||
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