school, will it necessarily result in a higher probability of a job offer at gra
ID: 3318631 • Letter: S
Question
school, will it necessarily result in a higher probability of a job offer at graduation? Let y=percentage of graduates with job offers and X = tuition cost; then fit the simple linearmodel, E (y)=0+1x, to the data below. Is there sufficient evidence (at =0.5) of a positive linear relationship between y and x?
School
Annual_tuition ($)
%_with_Job_Offer
1
39751
99
2
39275
98
3
38931
99
4
38527
84
5
38176
94
6
37764
93
7
37502
93
8
37011
87
9
36758
96
10
36288
93
Find the test statistic
T=
Round two decimals
Find the P Value
round four decimals
C. Make the appropriate conclusion at = 0.05
1. Do not reject Ho. There is insufficient evidence that there exists a positive linear relationship between y & x
2. Do not reject Ho. There is sufficient evidence that there exists a positive linear relationship between y & x
3. Reject Ho. There is insufficient evidence that there exists a positive linear relationship between y & x
4. Reject Ho. There is sufficient evidence that there exists a positive linear relationship between y & x
School
Annual_tuition ($)
%_with_Job_Offer
1
39751
99
2
39275
98
3
38931
99
4
38527
84
5
38176
94
6
37764
93
7
37502
93
8
37011
87
9
36758
96
10
36288
93
Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: %_with_Job_Offer
Independent Variable: Annual_tuition ($)
%_with_Job_Offer = 27.825468 + 0.0017309862 Annual_tuition ($)
Sample size: 10
R (correlation coefficient) = 0.39749856
R-sq = 0.15800511
Estimate of error standard deviation: 4.8163222
Parameter estimates:
Analysis of variance table for regression model:
Hence,
T = 1.23
P - value = 0.1277
Do not reject Ho. There is insufficient evidence that there exists a positive linear relationship between y & x.
Option A is correct.
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 27.825468 53.704003 0 8 0.51812652 0.6184 Slope 0.0017309862 0.001412758 > 0 8 1.2252532 0.1277Related Questions
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