Exercise 12.3:
Over the years, the temperature at the New York Marathon has been recorded. Below is
the temperature (in fahrenheit) stated together with the winning time (in minutes) for the individual years:
Temperature Time 55 61 145,3 148,7 49 148,3 62 70 73 148,1 147,6 146,4 51 144,7 57 147,5
3.a) Find the regression equation (least squares).
3.b) Test whether the linear relationship is significant (use α = 0.05).
3.c) Calculate the coefficient of determination.
3.d) Find the interval where we can say with 95% probability that the winning time is
inside when the temperature is 73 degrees.
