Which of the following is the most likely value for the slope of the regression line for the data in the scatterplot below? Y 5 O 4 ' .- I . .' . 3 - ' _ 2 - ' 1 .'. : o 02.0 0 0.5 O 0.9 00.9 In a sample of size 6, the variables x and y yield the following values: Ex = 16, Ly =14, x2 = 56, Exy = 23, Ly2 = 50 Find the slope of the regression line y = ma + b. O - 1.075 O 5.200 O - 0.943 O 14.0Find the slope of the regression line y = ma + b, given the sample data in the table below. 2 2 4 7 y 5 6 9 15 O - 5.403 O2.333 O 1.896 O2.382The paired data in the table below give the values r = 0.284, m = 0.211, and b = 4.14. At the a = 0.05 significance level, what is your best prediction for y, given an a: value of 4? 02.50 03.00 02.75 03.29 Which is the most likely value for the y-intercept of the regression line for the data shown in the scatterplot below? Y 5 I 4 ' .- .0.' I 3 - ' 2 . ' 1 ". 1 ' 02.7 05.0 0 0.5 09.5 In a random sample of 12 adult men from Centerville, the mean weight was 199 pounds, with a sample standard deviation of 14 pounds. In a random sample of 10 adult men from Statsburgh, the mean weight was 177 pounds, with a sample standard deviation of 11 pounds. Both samples appeared to be normally distributed. Construct a 98% confidence interval for the difference between #1, the mean weight of all adult men from Centerville, and p2, the mean weight of all adult men from Statsburgh. Round your answers to the nearest tenth of a pound. Answer: We are 98% confident that p1 #2 lies between [3 pounds and [3 pounds. The Dean of Eastern Elite University claims that the mean score on the Graduate Record Exam verbal test for all EEU students who take the test is greater than the corresponding score for all students at Wild West College who take the test. She conducts a hypothesis test at the a = 0.10 significance level in an attempt to support her claim. The Dean selects random samples of 31 EEU students who took the test and 53 WWC students who took the test. In the EEU sample, the mean score is 680, with a sample standard deviation of 33. In the WC sample, the mean score is 667, with a sample standard deviation of 29. Find the test statistic for the Dean's hypothesis test. (Round your answer to three decimal places.) Answer: The test statistic is t = C] . Find the linear correlation coefficient r for the data in the table below. Round your answer to three decimal places. 4 X -1 7 9 14 14 y 6 5 4 6 6 9 10 11 12 13 14 15 Answer: r =Linear regression computations for the points (@, y) in the scatterplot at right result in r = - 0.690, m = - 1.26 and b = 26.8 At the a = 0.01 significance level, what is your best prediction for the y value given x = 8.9? X 4.4 6.8 7.9 8.2 10.1 10.3 12.8 18.7 y 24.6 16.6 11.1 9.7 16.0 25.3 9.5 2.0 Answer: Predicted value of y isThe points (x, y) in the scatterplot at right have a correlation coefficient r = 0.991. Find the slope and y-intercept of the regression line for these points. Round your answers to three significant figures. Answer: Slope = C]; y-intercept = C]. Which of the following is the most likely value for the slope of the regression line for the data in the scatterplot below? Y 5 I 4 ' . - u . " . 3 - . 2 - ' 1 ". : o 02.0 0 0.5 O 0.9 00.9 In a sample of size 6, the variables a: and y yield the following values: :9,- = 16, :3, = 14, 29:2 = 56, Zmy = 23, 23,2 = 50 Find the slope of the regression line y = mm + b. O 1.075 05.200 0 0.943 O 14.0 Find the slope of the regression line y = mx + b, given the sample data in the table below. 2 2 4 7 y 5 6 9 15 O - 5.403 O2.333 O 1.896 O 2.382The paired data in the table below give the values 7' = 0.284, m = 0.211, and b = 4.14. At the a = 0.05 significance level, what is your best prediction for 3;, given an a: value of 4? 02.50 03.00 02.75 03.29 Which is the most likely value for the y-intercept of the regression line for the data shown in the scatterplot below? Y 5 O 4 ' .- .n.' I 3 - ' _ 2 . ' 1 ". 1 02.7 05.0 0 0.5 09.5