In: Statistics and Probability
TABLE 12-3
The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place. She takes a random sample of four students. For these four, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below.
Student Co-op Jobs Job Offer
1 1 4
2 2 6
3 1 3
4 0 1
1) Referring to Table 12-3, the least squares estimate of the slope is ________.
2) Referring to Table 12-3, the total sum of squares (SST) is ________.
1)
2)
SUMMARY OUTPUT | |||||
Regression Statistics | |||||
Multiple R | 0.980580676 | ||||
R Square | 0.961538462 | ||||
Adjusted R Square | 0.942307692 | ||||
Standard Error | 0.5 | ||||
Observations | 4 | ||||
ANOVA | |||||
df | SS | MS | F | Significance F | |
Regression | 1 | 12.5 | 12.5 | 50 | 0.019419324 |
Residual | 2 | 0.5 | 0.25 | ||
Total | 3 | 13 | |||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | |
Intercept | 1 | 0.433012702 | 2.309401077 | 0.147197135 | -0.863103284 |
x | 2.5 | 0.353553391 | 7.071067812 | 0.019419324 | 0.978782539 |
SST = 13