In: Statistics and Probability
The following data represent the speed of a car (in miles per
hour) and its breaking distance (in feet) on dry asphalt.
Speed | 30 | 40 | 50 | 60 | 70 | 80 |
---|---|---|---|---|---|---|
Breaking Distance | 66.3 | 82.3 | 100.5 | 121.2 | 142.3 | 160.7 |
b) Find the least squares regresssion line. Round the slope and
y-intercept to two decimals.
B(x) =
(c) Find the linear correlation coefficient. Round your answer to 4
decimals.
r =
(d) Comment on whether a linear model is a good model. Explain why.
This part will be hand graded.
(e) Predict the breaking distance if you were going 65 miles per
hour. Use your rounded values from part (b).
(f) What speed would you be traveling at if you needed 200 feet to
break? Use your rounded values from part (b).