Question

Assume that the relationship between test scores and the student-teacher ratio can be modeled as a linear function with an intercept of 698.9 and a slope of (-2.28). A decrease in the student teacher ratio by 2 will:A) reduce test scores by 2.28 on averageB) result in a test score of 698.9C) reduce test scores by 2.56 on averageD) reduce test scores by 4.56 for every school district

Answer 1

Answer:

The correct option is D) reduce test scores by 4.56 for every school district.

Explanation:

Based on the information in the question, the relationship between test scores and the student-teacher ratio can be mathematically written as follows:

x = 698.9 - 2.28y .................... (1)

Where,

x = test scores

y = student-teacher ratio

The a slope of (-2.28) indicates the amount by which x will change whenever there is a change in y.

Therefore, when there is a decrease in the student teacher ratio by 2 (i.e. y = 2), we will have:

Change in x = -2.28 * 2 = -4.56

The negative sign therefore indicate that the test scores will reduce by 4.56 for every school district. Therefore, the correct option is D) reduce test scores by 4.56 for every school district.