1. The Federal Trade Commission measured the number of milligrams of tar and carbon monoxide (CO)...

 

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1. The Federal Trade Commission measured the number of milligrams of tar and carbon monoxide (CO) per cigarette for all domestic cigarettes. Let x and y equal the measurements of tar and CO, respectively, for 100 millimeter filtered and mentholated cigarettes. A sample of 12 brands yielded the following data: Brand y Brand y Саpri 6. Now 4 Carlton 4 Salem 17 18 Kent 14 14 Triumph 8 Kool Milds 12 12 True 7 Marlboro Lights 10 12 Vantage 13 Merit Ultras 5 7 Virginia Slims 15 13 a) Find point estimates for Bo, B1 and o? and find the least squares regression line for these data. b) Test the hypotheses Ho: Bß1 = 0 at the a = 0.05. c) Calculate 95% confidence interval for the parameter B1. d) Find a 95% confidence interval for the mean of Y when x=5. e) Find a 95% prediction interval for a new Y when x-5. f) Use SAS procedure to compare the results. g) Use SAS procedure to plot the points and the least squares regression line on the same graph. 2. Using the data in the question #1, a) Calculate the correlation coefficient between x and y. b) Test the hypothesis that the population correlation coefficient p between x and y is 0 vs. the alterative that p + 0. c) Use SAS procedure to compare the results. 1. The Federal Trade Commission measured the number of milligrams of tar and carbon monoxide (CO) per cigarette for all domestic cigarettes. Let x and y equal the measurements of tar and CO, respectively, for 100 millimeter filtered and mentholated cigarettes. A sample of 12 brands yielded the following data: Brand y Brand y Саpri 6. Now 4 Carlton 4 Salem 17 18 Kent 14 14 Triumph 8 Kool Milds 12 12 True 7 Marlboro Lights 10 12 Vantage 13 Merit Ultras 5 7 Virginia Slims 15 13 a) Find point estimates for Bo, B1 and o? and find the least squares regression line for these data. b) Test the hypotheses Ho: Bß1 = 0 at the a = 0.05. c) Calculate 95% confidence interval for the parameter B1. d) Find a 95% confidence interval for the mean of Y when x=5. e) Find a 95% prediction interval for a new Y when x-5. f) Use SAS procedure to compare the results. g) Use SAS procedure to plot the points and the least squares regression line on the same graph. 2. Using the data in the question #1, a) Calculate the correlation coefficient between x and y. b) Test the hypothesis that the population correlation coefficient p between x and y is 0 vs. the alterative that p + 0. c) Use SAS procedure to compare the results.