Questions and Answers
In the study of the effect of engine size on gas mileage, what is the response variable?
What is the predicted score on the final exam for Carla who scored 95 on the first test?
95.5
What is the value of Bill's residual if he scored 90 on the first test and 93 on the final exam?
2.0
What does 'least squares' refer to in regression analysis?
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What is the slope of the least squares regression line of number of service calls on number of copiers, given the summary calculations?
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Which of the following statements are true regarding correlation and regression?
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Which of the following is resistant?
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Study Notes
Experiment on Engine Size and Gas Mileage
- Larger automobile engines generally consume more fuel, impacting gas mileage.
- In this study, gas mileage is the response variable expected to show a negative association with engine size.
Linear Regression Prediction
- The linear regression model to predict final-exam scores is given by ŷ = 10 + 0.9x.
- For a student scoring 95 on the first test, the predicted final exam score is 95.5.
Residual Calculation
- Bill scored 90 on the first test and 93 on the final exam.
- The residual, representing the difference between actual and predicted scores, is 2.0.
Least Squares Regression
- This method minimizes the sum of the squares of the residuals, ensuring accuracy in predictions.
Regression Slope Calculation
- Data from 89 customer locations shows a strong correlation between the number of copy machines and service calls.
- The slope of the least squares regression line, indicating how service calls change with the number of copiers, is 1.56.
True Statements in Statistics
- Correlation does not require one variable to be classified as explanatory; both can be quantitative.
- A two-variable scatterplot does not need to have one variable identified as explanatory.
- Every least-squares regression line passes through the point (mean of x, mean of y).
Resistance in Statistics
- Neither the least squares regression line nor the correlation coefficient is resistant to outliers, meaning they can be significantly affected by extreme values.
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Description
Test your knowledge with these multiple choice questions focused on Chapter 3 of AP Statistics. This quiz explores key concepts such as response variables and associations, including practical applications like the relationship between engine size and gas mileage.
