shown below are three scatter plots and their lines of best fit. also shown are three residual plots. answer…
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 b scatter plot c which scatter plot matches this residual plot? choose one what best describes the line of best fit for the scatter plot? choose one which scatter plot matches this residual plot? choose one what best describes the line of best fit for the scatter plot? choose one which scatter plot matches this residual plot? choose one what best describes the line of best fit for the scatter plot? choose one
Answer
Answer:
Residual Plot 1:
- Scatter plot: Scatter Plot A
- Description of line of best - fit: A good fit Residual Plot 2:
- Scatter plot: Scatter Plot B
- Description of line of best - fit: A poor fit Residual Plot 3:
- Scatter plot: Scatter Plot C
- Description of line of best - fit: A good fit
Explanation:
Step1: Analyze Residual Plot 1
Residuals are randomly scattered around 0.
Step2: Match with scatter plot
Scatter Plot A has a linear pattern and Residual Plot 1's random residuals imply a good linear fit.
Step3: Analyze Residual Plot 2
Residuals show a non - random pattern.
Step4: Match with scatter plot
Scatter Plot B has a non - linear pattern and the non - random residuals in Residual Plot 2 imply a poor linear fit.
Step5: Analyze Residual Plot 3
Residuals are randomly scattered around 0.
Step6: Match with scatter plot
Scatter Plot C has a linear pattern and Residual Plot 3's random residuals imply a good linear fit.