The following data contains the characteristics of 30motorcycles that will be analyzed using a Regression model. Youwill study the relationship between a motorcycles' engine power(measured in horsepower) and the motorcycles' weight (measured inpounds).
Power (cf): 145 215 165 85 225 87 175 210 158 86 150 150 76 170208 150 215 225 220 153 175 130 140 165 180 150 190 110 150 86
Weight (lb): 4082 4735 3693 2310 4951 2672 4464 4382 4363 22204135 4096 2065 4654 4633 4464 4615 4425 4354 4129 5140 3504 34494209 4955 4997 3850 2962 3761 2226
Declare:
a) Explanatory variable:
b) Response variable:
c) Make a scatter diagram. Describe the axes and scales for eachaxis.
d) What can you say about the strength, direction, and shape?Answer this subjectively (do not calculate the correlation).
e) Assuming that the scatter diagram above is linear with r2 =0.7142182. Determine the slope and intercept of the regressionline. (use the r program to calculate Sweight, Spower.
f) Write the modeled regression line.
g) Interpret the slope
h) What would be the engine power of a car if its weight were2.5 tons? h.
i) Plot the regression line on the scatter plot
j) Interpret r. agrees with what was thought in point c
k) Interpret r2
