Question

A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker.

Risk	Age	Blood Pressure	Smoker
12	57	152	0
24	67	163	0
13	58	155	0
56	86	177	1
28	59	196	0
51	76	189	1
18	56	155	1
31	78	120	0
37	80	135	1
15	78	98	0
22	71	152	0
36	70	173	1
15	67	135	1
48	77	209	1
15	60	199	0
36	82	119	1
8	66	166	0
34	80	125	1
3	62	117	0
37	59	207	1

Using age, blood pressure, and whether a person is a smoker, develop an estimated regression equation that can be used to predict risk. Use x₁ for age, x₂ for blood pressure, and x₃ for whether a person is a smoker. (Round your constant term to one decimal place and coefficients to three decimal places.)

ŷ =______________.

The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks.† The file named CarMileage provides a portion of the data for 309 cars. The column labeled Size identifies the size of the car (Compact, Midsize, and Large) and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. Use α = 0.05 and test for any significant difference in the mean fuel efficiency rating for highway driving among the three sizes of cars. (Hint: you will need to re-organize the data to create indicator variables for the qualitative data).

Find the value of the test statistic for the overall model. (Round your answer to two decimal places.)

__________________.

Find the p-value for the overall model. (Round your answer to three decimal places.)

p-value = ________________.

Answer 1

Using Excel

data -> data analysis -> regression

y^ = -91.8+ 1.077 x1 + 0.252 x2 + 8.74 x3

 

 

Answer 2