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Mathematics, 06.05.2020 04:38 ingle75

Organizations are interested in identifying variables that will predict the performance of job applicants. Two known predictors of job performance are personality (i. e., conscientiousness) and years of formal education. Researchers at the University of Arkansas believe that number of previous jobs held by job applicants may also predict performance. However, in contrast to conscientiousness and years of formal education, the researchers anticipate that number of previous jobs held will have an inverse relationship with job performance. To test their ideas, the researchers asked 125 car salespeople from Fletcher Honda to fill out a questionnaire that measured (a) their level of conscientiousness (CONSC) on a 7 point scale (11 = strongly disagree and 7 = strongly agree) where higher scores reflect being more conscientious, (b) years of formal education (EDUC), (c) and the number of previous jobs held (JOBS). To measure job performance, the researchers used company records to record the number of cars that each salesperson sold in the preceding month (SALES).
Use the output below to answer the questions that follow.

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.416429849
R Square 0.173413819
Adjusted R Square 0.152919947
Standard Error 7.268081254
Observations 25

ANOVA
df SS MS F Significance F
Regression 3 1340.974382 446.9914605 8.461740033 3.77953E-05
Residual 121 6391.825618 52.82500511
Total 124 7732.8

Coefficients Standard Error t Stat P-value
Intercept 5.477902072 3.371843023 1.624601749 0.106849556
Consc 0.192216515 0.380696926 0.504906928 0.614542554
Education 0.661462471 0.284679263 2.323535841 0.021819246
Jobs -0.71925671 0.203544131 -3.53366483 0.000581263

Zebulon ‘Zeb’ Mellett has applied for a job with Fletcher motors. He fills out the same questionnaire as the 125 salespeople in the sample used by the University of Arkansas research team. Zeb scores a 3 on the conscientiousness scale, he has 14 years of formal education, and he has previously been employed 6 times.
If he is hired, how many cars is he predicted to sell during his first day on the job?

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