A scientific foundation wanted to evaluate the relation between y= salary of researcher (in thousands of dollars), x1= number of years of experience, x2= an index of publication quality, x3=sex (M=1, F=0) and x4= an index of success in obtaining grant support. A sample of 35 randomly selected researchers was used to fit the multiple regression model. Parts of the computer output appear below. The p-value of the ANOVA F test will be very large, since it's clear that all of the variables are good predictors of salary       very small, since it's clear that all of the variables are good predictors of salary       very large, since it's clear that none of the variables are good predictors of salary       very small, since it's clear that none of the variables are good predictors of salary

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A scientific foundation wanted to evaluate the relation between y= salary of researcher (in thousands of dollars), x1= number of years of experience, x2= an index of publication quality, x3=sex (M=1, F=0) and x4= an index of success in obtaining grant support. A sample of 35 randomly selected researchers was used to fit the multiple regression model. Parts of the computer output appear below. The p-value of the ANOVA F test will be

very large, since it's clear that all of the variables are good predictors of salary
 
 
 
very small, since it's clear that all of the variables are good predictors of salary
 
 
 
very large, since it's clear that none of the variables are good predictors of salary
 
 
 
very small, since it's clear that none of the variables are good predictors of salary
Predictor
Coef
SE Coef
P
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%
Transcribed Image Text:Predictor Coef SE Coef P 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%
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