Please assist with Part B. Part A has been completed
and is seen below. Part is needed to solve Part B.
.
Part A is
Answer:
Excel Addon Megastat used.
Menu used: correlation/Regression ---- Regression Analysis.
Select Exam score as y variable and Employment hours as x variable.
Megastat output:
Regression Analysis |
||||||
r² |
0.753 |
n |
8 |
|||
r |
-0.867 |
k |
1 |
|||
Std. Error |
7.283 |
Dep. Var. |
Exam score |
|||
ANOVA table |
||||||
Source |
SS |
df |
MS |
F |
p-value |
|
Regression |
967.7500 |
1 |
967.7500 |
18.25 |
.0053 |
|
Residual |
318.2500 |
6 |
53.0417 |
|||
Total |
1,286.0000 |
7 |
||||
Regression output |
confidence interval |
|||||
variables |
coefficients |
std. error |
t (df=6) |
p-value |
95% lower |
95% upper |
Intercept |
91.5000 |
3.5599 |
25.703 |
2.29E-07 |
82.7892 |
100.2108 |
Employment hours |
-0.8750 |
0.2048 |
-4.271 |
.0053 |
-1.3762 |
-0.3738 |
To test the significance of the model,
Calculated F= 18.25, P=0.0053 which is < 0.05 level of significance.
The model is significant.
The residual plots shows that the model is appropriate.
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