iv. Test to detemine whether each of the independent variables is linearly related to the dependent variable. Test it for 5% level of significance? State the hypothesis, the decision rule, and the conclusion. Test the overall validity of the model at 5% level of significance. State the hypothesis, the decision rule, and the conclusion. vi. Estimate the annual salary for an individual with 5.5 years of experience and 4.0 years of postsecondary education.

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iv.
Test to detemine whether each of the independent variables is linearly related to
the dependent variable. Test it for 5% level of significance? State the hypothesis,
the decision rule, and the conclusion.
v. Test the overall validity of the model at 5% level of significance. State the
hypothesis, the decision rule, and the conclusion.
vi. Estimate the annual salary for an individual with 5.5 years of experience and 4.0
years of postsecondary education.
Transcribed Image Text:iv. Test to detemine whether each of the independent variables is linearly related to the dependent variable. Test it for 5% level of significance? State the hypothesis, the decision rule, and the conclusion. v. Test the overall validity of the model at 5% level of significance. State the hypothesis, the decision rule, and the conclusion. vi. Estimate the annual salary for an individual with 5.5 years of experience and 4.0 years of postsecondary education.
Tutorial 8: Multiple Regression
The table below reports the results of the regression analysis on the relationships between
salary data for n=14 randomly sampled systems analysts from a large population of such
individuals and their years of experience (Exper) and years of postsecondary education
(Educ):
Variable
Coefficients
Standard Error
I-stat
p-value
Intercept
EXPER
2690
204.6
45511
16.92
0.000
825.7
4.04
0.002
EDUC
1603.7
536.3
2.99
0.012
s= 2156
R-sq = 0.672
R-sq (Adj) = 0.613
ANOVA
Source
DF
SS
MS
F-stat
P
0.002
Regression
Residual
Total
2
104862168
52431084
11.28
11
51149976
4649998
13
156012144
Prediction Interval
3
Salary
4
5
Predicted value
56467
6.
7
Prediction Interval (95%)
8
Lower limit
51548
9
Upper limit
61386
10
Interval Estimate of Expected Value (95%)
Lower limit
11
12
55180
13
Upper limit
57755
Transcribed Image Text:Tutorial 8: Multiple Regression The table below reports the results of the regression analysis on the relationships between salary data for n=14 randomly sampled systems analysts from a large population of such individuals and their years of experience (Exper) and years of postsecondary education (Educ): Variable Coefficients Standard Error I-stat p-value Intercept EXPER 2690 204.6 45511 16.92 0.000 825.7 4.04 0.002 EDUC 1603.7 536.3 2.99 0.012 s= 2156 R-sq = 0.672 R-sq (Adj) = 0.613 ANOVA Source DF SS MS F-stat P 0.002 Regression Residual Total 2 104862168 52431084 11.28 11 51149976 4649998 13 156012144 Prediction Interval 3 Salary 4 5 Predicted value 56467 6. 7 Prediction Interval (95%) 8 Lower limit 51548 9 Upper limit 61386 10 Interval Estimate of Expected Value (95%) Lower limit 11 12 55180 13 Upper limit 57755
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