Question
A teacher takes the semester exam scores for the first semester of a course and designs a line of best fit to predict the semester exam scores for the second semester, y, based on the number of days of attendance, x. Her equation for the line of best fit is y=0.7x+37. Select the test score that the teacher should expect from a student who did not attend her course.
A.
0.7
B.
4.4
C.
37
D.
44
A.
0.7
B.
4.4
C.
37
D.
44
Answers
GPT-4o mini
To find the expected semester exam score for a student who did not attend the course, we can substitute \( x = 0 \) into the equation of the line of best fit, which is given by:
\[ y = 0.7x + 37 \]
Substituting \( x = 0 \):
\[ y = 0.7(0) + 37 \]
\[ y = 0 + 37 \]
\[ y = 37 \]
Therefore, the teacher should expect a test score of **37** for a student who did not attend the course.
The correct answer is **C. 37**.
\[ y = 0.7x + 37 \]
Substituting \( x = 0 \):
\[ y = 0.7(0) + 37 \]
\[ y = 0 + 37 \]
\[ y = 37 \]
Therefore, the teacher should expect a test score of **37** for a student who did not attend the course.
The correct answer is **C. 37**.