Using the linear regression equation y = 0.12x + 37 with a correlation coefficient r = 0.98, the predicted length of a non-stop flight from Phoenix to Jacksonville (1795 miles) is approximately 252.4 minutes.
Given the linear regression equation y = 0.12x + 37, where y is the predicted variable (flight time in minutes), x is the input variable (distance in miles), and r is the correlation coefficient (given as 0.98, indicating a strong positive correlation), you can use this equation to predict the length of a non-stop flight from Phoenix to Jacksonville.
Substitute the distance x = 1795 miles into the equation:
Predicted Flight Time = 0.12
1795 + 37
Calculate this to find the predicted length of the non-stop flight.
Predicted Flight Time = 215.4 + 37
Predicted Flight Time = 252.4
Therefore, based on the given regression equation, the predicted length of a non-stop flight from Phoenix to Jacksonville is approximately 252.4 minutes.
The complete question is:
This scatter plot shows the distances of non-stop flights and their lengths in minutes. The distance from Phoenix, Arizona, to Jacksonville, Florida, is 1795 miles. Use the equation of the line of best fit to predict the length, in minutes, of a non-stop flight from Phoenix to Jacksonville.y = 0.12x+37
r = 0.98