MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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14

As part of their requirements, a group of statistics students evaluated the relation between Y(monthly
salary of teachers, in thousand pesos), X1 (Years, years
of teaching), X2 (Papers, no. of paper publications), X3 (Sex, M=1, F=0) and X4 (Grants, no. of research
projects with funding grants). A sample of 35 randomly selected teachers was used to fit the multiple
regression model. Parts of the data processing output is shown below:
Coef
SE Coef
Predictor
T
Constant
17.846931
2.001876
8.915
0.0001
Years
1.103130
0.359573
3.068
0.0032
Papers
0.321520
0.037109
0.0002
Sex
1.593400
0.687724
2.317
0.0083
Grants
1.288941
0.298479
4.318
0.0003
s= 1.75276
R-sq = 92.3%
adj R-sq = 91.4%
What can you expect on the p-value of the ANOVA F-test?
O Very large, since it is clear that none of the variables are good predictors of salary
Very small, since it is clear that none of the variables are good predictors of salary
O Very large, since it is clear that all of the variables are good predictors of salary
O Very small, since it is clear that all of the variables are good predictors of salary
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Transcribed Image Text:As part of their requirements, a group of statistics students evaluated the relation between Y(monthly salary of teachers, in thousand pesos), X1 (Years, years of teaching), X2 (Papers, no. of paper publications), X3 (Sex, M=1, F=0) and X4 (Grants, no. of research projects with funding grants). A sample of 35 randomly selected teachers was used to fit the multiple regression model. Parts of the data processing output is shown below: Coef SE Coef Predictor T Constant 17.846931 2.001876 8.915 0.0001 Years 1.103130 0.359573 3.068 0.0032 Papers 0.321520 0.037109 0.0002 Sex 1.593400 0.687724 2.317 0.0083 Grants 1.288941 0.298479 4.318 0.0003 s= 1.75276 R-sq = 92.3% adj R-sq = 91.4% What can you expect on the p-value of the ANOVA F-test? O Very large, since it is clear that none of the variables are good predictors of salary Very small, since it is clear that none of the variables are good predictors of salary O Very large, since it is clear that all of the variables are good predictors of salary O Very small, since it is clear that all of the variables are good predictors of salary
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