Question

1. the scatter plot shows the grades of an exam (y) of a group of 14 students based on the number of hours (x) they dedicated to study. which equation best describes the line of best fit? a. y = 0.23 + 0.92 b. y = 0.23x c. y = 0.85x + 0.66 d. y = -0.85x + 0.66

Explanation:

Step1: Analyze the trend of the scatter - plot

Since the scatter - plot shows a negative correlation (as \(x\) increases, \(y\) decreases), the slope of the line of best fit should be negative.

Step2: Check the slopes of the given equations

• For equation \(A\): \(y = 0.23+0.92x\), the slope \(m = 0.92>0\)
• For equation \(B\): \(y = 0.23x\), the slope \(m = 0.23>0\)
• For equation \(C\): \(y = 0.85x + 0.66\), the slope \(m = 0.85>0\)
• For equation \(D\): \(y=-0.85x + 0.66\), the slope \(m=-0.85<0\)

Answer:

D. \(y=-0.85x + 0.66\)