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The following data can help us predict one’s likelihood of becoming a good chef.

ID: 3222819 • Letter: T

Question

The following data can help us predict one’s likelihood of becoming a good chef. The outcome variable isscore on Great Chef Test. We suspect that variables such as number of years of experience cooking, level of formal culinary education, and number of different positions (soup chef, pasta station, etc.) all contribute to ranking or scores on the Great Chef Test

Years of Experience

Level of Education

Number of Different Positions

Score on Great Chef Test

5

1

5

88

6

2

4

78

12

3

9

56

21

3

8

88

7

2

5

97

27

2

16

88

31

3

12

98

18

3

7

92

11

2

6

88

26

2

8

91

           

            If x1= years of experience, x2=levels of education, x3=number of different positions, the regression equation would be Y’=1.48 (x1) -9.09 (x2)-2.43 (x3) +102.53.

(a) How would you interpret the relationship between years of experience and ones’ Great Chef Test score?

Years of Experience

Level of Education

Number of Different Positions

Score on Great Chef Test

5

1

5

88

6

2

4

78

12

3

9

56

21

3

8

88

7

2

5

97

27

2

16

88

31

3

12

98

18

3

7

92

11

2

6

88

26

2

8

91

Explanation / Answer

Intepretation:

As years of experience increase by 1 unit, the Great Chef Test score increases by 1.48 units, holding level of education and number of different positions constant.

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