Question

A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score.

Equation: y = mx + b

Statistics:

• r² = 0.83
• r = 0.91

Parameters:

• m = 10.90
• b = 31.55

Answer the following questions based on the information given above.

A student who has studied Spanish for two years earns a score of 58 on the proficiency test. What is the difference between the student's actual score and the predicted score?

1.	16.00
2.	9.86
3.	4.65
4.	15.55

Answer 1

predicted score= (10.90*2)+31.55 = 53.35

Difference = 58 - 53.35 = 4.65 (ans)