Reaction distance is the distance a driver travels from the instant of detecting a hazard until beginning braking. The data below shows the typical reaction distance at various speeds.Determine if a correlation exists between speed and reaction time.

Speed(mph) 19 / 31 / 37 / 43 / 50 / 56 / 62 / 68

Reaction distance (ft) 17 21 25 29 33 38 42 46

a. What is the correlation value?

b. What is the slope of this data?

c. What is the y-intercept of this data?

d. What is the Regression line of y on x?

e. Predict the Reaction distance (ft) if the speed is x = 50 mph.

f. What is the Residual for this value of x = 50 mph? Comment on the residual. What do you mean by the residual?