Final answer:
To calculate the residual for the given point, subtract the predicted value of the percentage of successful putts (based on the regression line) from the observed value. The percentage of successful putts is 31%. The number of putts made and the distance of the putts are not directly related to the residual.
Step-by-step explanation:
To calculate and interpret the residual for the point where golfers made 31% of putts from 14 feet away, we need to use the regression line equation. Let's assume the equation is y = mx + b, where y is the predicted percentage of successful putts, x is the distance of the putts, m is the slope of the regression line, and b is the y-intercept.
- a) To find the residual, subtract the predicted value of the percentage of successful putts (based on the regression line) from the observed value. In this case, the observed value is 31% and the predicted value can be found by substituting 14 (distance of the putts) into the regression line equation.
- b) The percentage of successful putts can be interpreted as the y-value in the equation. In this case, it is 31%.
- c) The number of putts made is not directly related to the residual or the percentage of successful putts. It is a separate variable that is not mentioned in the question.
- d) The distance of the putts is given in the question as 14 feet.