Question
Applicants for a job, which involves extensive travel in Spanish speaking countries, must take a proficiency...
Applicants for a job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x) and their score on the test (y).
| x | 3 | 4 | 4 | 2 | 5 | 3 | 4 | 5 | 3 | 2 |
| y | 57 | 78 | 72 | 58 | 89 | 63 | 73 | 84 | 75 | 48 |
Would it make sense to use the regression line to predict a score for a person who has studied Spanish for 15 years? Why or why not?
A) No, because 15 years is much larger than the range of x-values in the table.
B) Yes, because the prediction is a whole number.
C) Yes, because you would substitute 15 for x in the regression equation.
D) No, because the value 15 does not appear in the table.
Homework Answers
Answer #1
| X | Y | |
| 3 | 57 | |
| 4 | 78 | |
| 4 | 72 | |
| 2 | 58 | |
| 5 | 89 | |
| 3 | 63 | |
| 4 | 73 | |
| 5 | 84 | |
| 3 | 75 | |
| 2 | 48 | |
MEAN 
|
3.5000 | 69.7000 |
S.D 
|
1.0247 | 12.2642 |
 |
0.9111 |
The Regression Equation of Y on X is
Substiture X = 15 in the fittded Regression Equation of Y on X
C) Yes, because you would substitute 15 for x in the regression equation.
NOTE: The Values of Mean, S.D and r are calculated using EXCEL.
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