Question

Calculate and interpret the residual for the point where the golfers made 31% of putts from 14 feet away. 5 Enter all calculations below accurate to at least 2 decimal places. ln(percent made)= -1.17 31 percent made = Incorrect Incorrect Residual= -6.30 Incorrect When the putting distance was 14 feet. , the golfers percent made is 7.95 less than the Incorrect percentage . predicted by the model using x= distance and y=ln (percent made).

Answer 1

To calculate the residual for the point where the golfers made 31% of putts from 14 feet away, we can use the equation of the least-squares regression line. The residual is 3.55, indicating that the golfers made 3.55% more putts than predicted for this distance.

Step-by-step explanation:

To calculate and interpret the residual for the point where the golfers made 31% of putts from 14 feet away, we can use the equation of the least-squares regression line. The equation is y = -0.3031x + 31.93, where x represents the distance and y represents the natural logarithm of the percent made. Plugging in x = 14, we find y = -0.3031(14) + 31.93 = 27.45. The residual is the actual percent made (31) minus the predicted percent made (27.45), which is 31 - 27.45 = 3.55. Therefore, the residual for this point is 3.55.

The residual tells us how far the actual data point deviates from the predicted value. In this case, the golfers made 3.55% more putts than the model predicted for a distance of 14 feet. A positive residual suggests that the actual value is higher than expected, while a negative residual suggests that the actual value is lower than expected.