5:067 ...et01-xythos.s3.us-east-1.amazonaws.com 1. A medical researcher wishes to determine if a person's diastolic blood pressure is related to the number of hours he or she exercises per week. The data for the sample are shown below. Hours Exercise, X 2 4 6 8 10 12 Diastolic Pressure, y 90 84 87 78 69 72 a)(9 pts.) Sketch the scatter plot. Hint: Start vertical axis at 70. 1 3 5 7 9 11 13 b) (9 pts.) What is the regression equation for the least squares line? Complete the table below, rounding y to the nearest integer. X 9 Then use these two points to sketch the line on the coordinate system in part a) above. 1c) (9 pts.) What is the correlation coefficient, r? 1d) (5 pts.) What is the coefficient of determination, r?? le) (4 pts.) What does the coefficient of determination tell you about explained versus unexplained variation? If) ( 9 pts.) Use the regression equation in (b) to predict the diastolic pressure, y, for a person who exercises 7 hours in a week. lg) (9 pts.) Use Table 11 to determine the significance of this correlation with a =0.05. Show your work! h) (9 pts.) Complete the table below. (Table contains material from page 1.) Hours, X 2 4 6 8 10 12 Sum Diastolic 90 84 87 78 69 72 Pressure, y (v-j)2 (round y to the nearest whole number) What is the standard error of estimate, S. ? 2. (9 pts.) The Oklahoma Department of Highway Safety says that the number of annual highway fatalities, F, is given by the multiple regression equation: F = 1.4 + 0.00029 X + 2.4 Y + 10.3 Z, where X is the state's total population, Y is the number of days it snowed, and Z is the average speed drivers were driving at for that year. Predict the annual Oklahoma highway fatalities when X = 3,000,000; Y = 2; and Z = 65. OPEN IN