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A comprehensive review of key concepts and exercises related to regression analysis. It covers topics such as regression equations, slope, y-intercept, correlation coefficient, coefficient of determination, residuals, and hypothesis testing. Worked-out examples and explanations, making it a valuable resource for students studying regression analysis.
Typology: Quizzes
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Week 6 ADDENDUM – Homework/Quiz Review These are some additional notes that might help with the homework and quiz.
-6.
16 14 12 10 8 6 4 2 0 0 R² =2 0 .08 406080100120140
a. What type of correlation exists for this data? Answer: Strong negative correlation Explanation: The coefficient of correlation is -0.84. This is considered a strong negative correlation. The scatter plot confirms this. The following output is from this week’s calculator. b. What is the 90% confidence interval for children who are 12 years old? Answer: (18.92, 21.72) c. What is the 90% prediciton interval for someone who is 12 years old. Answer: (16.16, 24.48) Independent (x) (^) Dependent (y) Slope (β 1 ) y-Intercept (β 0 ) Correlation Coefficient (r) Coefficient of Determination (r^2 ) Standard Error
Lower Limit -3. Upper Limit -1. Enter x-value 12 CONFIDENCE LEVEL FOR ALL INTERVALS 90% Mean (x) 12. y estimate for entered x value 20. SSx 8. Standard Error Confidence Interval 0. Standard Error Prediction Interval 2.
Lower Limit Upper Limit
Lower Limit Upper Limit
-2.
-0.
1 0.9 f(x)^ =^ −^ 0.06^ x^ +^ 4.91^ R²^ = 0.
0 9 29496989109129149