To find the predicted test score when a person studies 4.5 years, we can use the equation y = mx + b. Plugging in the values of m = 10.90, b = 31.55, and x = 4.5:
y = 10.90(4.5) + 31.55
y = 49.05 + 31.55
y = 80.6
Therefore, the best predicted test score when a person studies 4.5 years is 80.6.
B. 80.6
A)
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.
If a person studies 4.5 years, what is the single value that is the best predicted test score? Assume that there is a significant linear correlation between years of study and test score.
(1 point)
Responses
A.83.0
B.80.6
C.49.1
D.53.35
1 answer