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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