55, 57, 59bd, 63, p.203-205 #3, 5, 6, 11cd, 13d deos: 2.7, 2.8 Video 1. A...

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55, 57, 59bd, 63, p.203-205 #3, 5, 6, 11cd, 13d deos: 2.7, 2.8 Video 1. A study was done on the relationship between high school grade point average (GPA) and scores on the SAT. The following 8 scores were from a random sample of students taking the exam: GPA SAT 3.2 725 3.8 752 3.9 3.3 3.6 745 680 700 2.8 562 2.9 3.5 595 730 The least squares regression line for predicting SAT from GPA was calculated to be: =154 + 158x. a. Calculate the residual for the student who had a GPA of 3.2 b. Interpret the residual that you calculated in part (a). 2. Which residual plot below indicates that the linear model is appropriate? Justify your answer. A. B. C. D. 3. The European School Study Project on Alcohol and Other Drugs, published in 1995, investigated the use of marijuana and other drugs. Data from 11 countries are summarized in the following scatterplot and regression analysis. They show the association between the percentage of a country's ninth graders who report having smoked marijuana and who have used other drugs such as LSD, amphetamines, and cocaine. s-3853 with 11-29 degrees of freedom Dependent variable is: Other R-squared -87.3% Variable Coefficient SE[Coeff) t-ratio P-value Intercept -306780 Marijuana 0615003 2204 -1.39 0.0784 01974 7.85 <0.0001 a. Write the equation of the least squares regression line. b. Identify and interpret the coefficient of determination (). c. Identify and interpret the standard deviation of the residuals (s). 55, 57, 59bd, 63, p.203-205 #3, 5, 6, 11cd, 13d deos: 2.7, 2.8 Video 1. A study was done on the relationship between high school grade point average (GPA) and scores on the SAT. The following 8 scores were from a random sample of students taking the exam: GPA SAT 3.2 725 3.8 752 3.9 3.3 3.6 745 680 700 2.8 562 2.9 3.5 595 730 The least squares regression line for predicting SAT from GPA was calculated to be: =154 + 158x. a. Calculate the residual for the student who had a GPA of 3.2 b. Interpret the residual that you calculated in part (a). 2. Which residual plot below indicates that the linear model is appropriate? Justify your answer. A. B. C. D. 3. The European School Study Project on Alcohol and Other Drugs, published in 1995, investigated the use of marijuana and other drugs. Data from 11 countries are summarized in the following scatterplot and regression analysis. They show the association between the percentage of a country's ninth graders who report having smoked marijuana and who have used other drugs such as LSD, amphetamines, and cocaine. s-3853 with 11-29 degrees of freedom Dependent variable is: Other R-squared -87.3% Variable Coefficient SE[Coeff) t-ratio P-value Intercept -306780 Marijuana 0615003 2204 -1.39 0.0784 01974 7.85 <0.0001 a. Write the equation of the least squares regression line. b. Identify and interpret the coefficient of determination (). c. Identify and interpret the standard deviation of the residuals (s).