Asked by Sarah
There are 4 scatter plots shown above. Which one shows the most accurate line of best fit?
Responses
A YY
B ZZ
C XX
D W
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the four plots from here — could you upload the image or describe them?
Meanwhile, here’s how to tell which plot has the most accurate line of best fit:
Visual rules of thumb
- The best-fit line is the one with the points most tightly clustered around it (small perpendicular distances).
- Points should be roughly balanced above and below the line (no systematic bias).
- Few or no outliers far from the line.
Quantitative check (recommended)
- Compute the coefficient of determination, R² (or the Pearson r): the plot whose line has the largest R² (closest to 1) is the most accurate fit.
- In Excel/Google Sheets: plot the points, add a trendline, and show R². Or compute r² from the data.
Quick formulas (if you have the raw (x,y) data)
- m = (nΣxy − Σx Σy) / (nΣx² − (Σx)²), b = (Σy − mΣx)/n
- r = [Σ(xi − x̄)(yi − ȳ)] / sqrt(Σ(xi − x̄)² Σ(yi − ȳ)²), and R² = r²
If you upload the image (or the data), I’ll pick the correct letter for you.
Meanwhile, here’s how to tell which plot has the most accurate line of best fit:
Visual rules of thumb
- The best-fit line is the one with the points most tightly clustered around it (small perpendicular distances).
- Points should be roughly balanced above and below the line (no systematic bias).
- Few or no outliers far from the line.
Quantitative check (recommended)
- Compute the coefficient of determination, R² (or the Pearson r): the plot whose line has the largest R² (closest to 1) is the most accurate fit.
- In Excel/Google Sheets: plot the points, add a trendline, and show R². Or compute r² from the data.
Quick formulas (if you have the raw (x,y) data)
- m = (nΣxy − Σx Σy) / (nΣx² − (Σx)²), b = (Σy − mΣx)/n
- r = [Σ(xi − x̄)(yi − ȳ)] / sqrt(Σ(xi − x̄)² Σ(yi − ȳ)²), and R² = r²
If you upload the image (or the data), I’ll pick the correct letter for you.
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