To interpret the slope of a linear model, you need to understand its relationship between the two variables represented in the model. Here, the slope indicates how much y (the number of minutes of test-taking) changes for a unit change in x (the number of questions answered).
If the slope is 0.87, this means that for each additional test question answered (an increase of 1 in x), the time spent on test-taking (y) increases by 0.87 minutes.
Looking at the options given:
A. An additional 0.87 test questions answered is associated with an additional minute of test taking.
(This is incorrect because this option reverses x and y.)
B. An additional 0.87 minutes of test taking is associated with an additional test question answered.
(This is incorrect because it also reverses the relationship; it should indicate the change in minutes for each question answered.)
C. Not enough information is provided to interpret the slope.
(This is incorrect since we do know what the slope represents.)
D. Zero minutes of test taking is associated with 0.87 test questions answered.
(This is incorrect as it misinterprets the concept of the slope.)
Based on the above analysis, none of the provided options correctly interpret the slope of the model. However, the correct interpretation should resemble something like:
"An additional question answered is associated with an additional 0.87 minutes of test-taking."
If I had to choose the most relevant answer from the options provided, I would go with:
None of the options correctly interpret the slope, but B comes closest to capturing a directional relationship, albeit incorrectly stated.
3 answers