Question

algebra 1 unit 3: end-of-unit assessment

1. which of these graphs represents the residuals for a scatter plot that is fit well by a linear model?

(images of four residual plots labeled a, b, c, d are present)

Explanation:

Step1: Recall residual plot rules

A good linear fit has residuals randomly scattered evenly around $y=0$, with no clear pattern.

Step2: Analyze each option

1. Option A: Points are randomly spread above and below $y=0$, no trend or clustering.
2. Option B: Points show a downward then upward trend, clear pattern.
3. Option C: Points show a curved, U-shaped trend.
4. Option D: Points show a strong upward linear trend.

Answer:

A. The residual plot with points randomly scattered evenly around the x-axis