The following data can help us predict one's likelihood of becoming a good chef. The outcome variable is score 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, of education, of different positions, the regression equation would be Y'.48 (x1) -9.09 (x2)-2.43 (x3) +102.53.
How would you interpret the relationship between years of experience and ones' Great Chef Test score? What score can you expect from a person with 12 years of experience and a level of 2 education, and who has held 5 positions?