QUESTION IMAGE
Question
shown below are three scatter plots and their lines of best fit. also shown are three residual plots. answer the questions that follow. scatter plot a scatter plot image scatter plot b scatter plot image scatter plot c scatter plot image residual plot 1 residual plot image which scatter plot matches this residual plot? select dropdown what best describes the line of best fit for the scatter plot? select dropdown residual plot 2 residual plot image which scatter plot matches this residual plot? select dropdown what best describes the line of best fit for the scatter plot? select dropdown residual plot 3 residual plot image which scatter plot matches this residual plot? select dropdown what best describes the line of best fit for the scatter plot? select dropdown
To solve this, we analyze each scatter plot and residual plot:
Residual Plot 1
- Scatter Plot Match: Scatter Plot A (points lie perfectly on a straight line, so residuals are near zero, matching Residual Plot 1’s flat, zero-centered points).
- Line of Best Fit: Negative linear (Scatter Plot A has a downward - sloping straight line).
Residual Plot 2
- Scatter Plot Match: Scatter Plot B (points have a positive trend but with some scatter, and Residual Plot 2 shows residuals with a pattern that fits the positive - trend scatter of Plot B).
- Line of Best Fit: Positive linear (Scatter Plot B has an upward - sloping line of best fit).
Residual Plot 3
- Scatter Plot Match: Scatter Plot C (points follow a negative trend with some scatter, and Residual Plot 3’s residual pattern matches this scatter around a negative line).
- Line of Best Fit: Negative linear (Scatter Plot C has a downward - sloping line of best fit).
Final Answers (for each section):
- Residual Plot 1:
- Scatter Plot: A. Scatter Plot A
- Line of Best Fit: Negative linear
- Residual Plot 2:
- Scatter Plot: B. Scatter Plot B
- Line of Best Fit: Positive linear
- Residual Plot 3:
- Scatter Plot: C. Scatter Plot C
- Line of Best Fit: Negative linear
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
To solve this, we analyze each scatter plot and residual plot:
Residual Plot 1
- Scatter Plot Match: Scatter Plot A (points lie perfectly on a straight line, so residuals are near zero, matching Residual Plot 1’s flat, zero-centered points).
- Line of Best Fit: Negative linear (Scatter Plot A has a downward - sloping straight line).
Residual Plot 2
- Scatter Plot Match: Scatter Plot B (points have a positive trend but with some scatter, and Residual Plot 2 shows residuals with a pattern that fits the positive - trend scatter of Plot B).
- Line of Best Fit: Positive linear (Scatter Plot B has an upward - sloping line of best fit).
Residual Plot 3
- Scatter Plot Match: Scatter Plot C (points follow a negative trend with some scatter, and Residual Plot 3’s residual pattern matches this scatter around a negative line).
- Line of Best Fit: Negative linear (Scatter Plot C has a downward - sloping line of best fit).
Final Answers (for each section):
- Residual Plot 1:
- Scatter Plot: A. Scatter Plot A
- Line of Best Fit: Negative linear
- Residual Plot 2:
- Scatter Plot: B. Scatter Plot B
- Line of Best Fit: Positive linear
- Residual Plot 3:
- Scatter Plot: C. Scatter Plot C
- Line of Best Fit: Negative linear