Test 1 : Correlations and Regressions
Null hypothesis (HO): Slope of time spent studying per week is equal to zero. (Time spent studying per week does not influence or is independent of the Average time spent studying per week)
Alternate hypothesis (HA): Slope of time spent studying per week is not equal to zero. (Time spent studying per week is associated with the Average time spent studying per week)
Correlation Coefficient / R square = 0.0026
Predicted value = 19.355-0.1373*Time spent commuting per week (Hours)
Average of Residuals = 1.043E-15
Linear Regression: Fail to reject the Null Hypothesis (R squared < p-value)
|
Coefficients |
Standard Error |
LCL |
UCL |
t Stat |
p-level |
||
|
Intercept |
19.35542 |
1.80817 |
15.08505 |
23.62579 |
10.70441 |
0.E+0 |
|
|
Time spent commuting per week (hrs) |
-0.13733 |
0.26008 |
-0.75157 |
0.47691 |
-0.52802 |
0.59858 |
p-value = 0.59858
Using a significance Level of 0.05, p-value of 0.599 > than 0.05. Thus, we fail to reject the hypothesis that the slope is equal to zero
Test 2 : ANOVA Table
Null hypothesis (HO): Sc = S15= S30= S45= S60 = Sx…
Alternate hypothesis (HA): Sc > S15> S30> S45> S60 > Sx…
Fail to reject Null Hypothesis (F Statistics<F Critical)
| Source of Variation | SS | df | MS | F stat | p-level | F crit |
| Between Groups | 5,738.88636 | 25 | 229.55545 | 1.63728 | 0.05036 | 1.85114 |
| Within Groups | 11,637.08043 | 83 | 140.20579 | |||
| Total | 17,375.96679 | 108 |