Question

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

Predict the test score of a person who has studied Spanish for 1 year. Round to the nearest whole number.

Answer 1

First we fit the linear regression model for dependent variable y ( score on the test ) and independent variable x (number of years applicant studied Spanish), using R software , the results are given below:

So, the linear regression line between y and x is:

Now, the test score of a person who has studied Spanish for 1 year is obtain by putting x=1 in regression equation.

   

Answer: 42.43