A statistics teacher was interested in the relationship between the number of days students waited to start a project and the sc

Question

2 months ago

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A statistics teacher was interested in the relationship between the number of days students waited to start a project and the sc

ore that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.

Mathematics

2 answers:

tester [12.3K] · Answer 1 · 2026-03-12T05:52:36+03:00

I believe the individual above is correct, though I haven't verified it on edge.

(A) Increases of one day in procrastination result in a predicted grade reduction of 3.64 points.

It’s unfortunate that there’s a lack of statistics resources here, but I aim to assist as much as I can. =================================

If you're wondering "What would be the expected grade for someone who procrastinated for 2 days?" the answer to that separate question is (C) 89.22.

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ED2021

tester [12.3K] · Answer 2 · 2026-03-12T05:54:16+03:00

Answer:

A: With each additional procrastination day, the expected grade drops by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A linear equation can be expressed in slope-intercept form:

y = mx + b

Here, m represents the slope and b indicates the y-intercept.

The slope reveals the rate and direction of change in the graph as x varies.

If m is negative, increases in x lead to decreases in y.

ŷ = –3.64x + 96.5

Where:

x = number of procrastination days

ŷ = anticipated grade

A: With each additional procrastination day, the expected grade drops by 3.64 points.

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