The figure for this exercise is a scatterplot of average math test score versus
ID: 3255728 • Letter: T
Question
The figure for this exercise is a scatterplot of average math test score versus percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed with the following formula.
B) In a certain state, only 4% of graduates take the test. What is the predicted average math test score for this state?
(careful here: note that, for the the predictor variable, the units are already in percentage. You do not need to move the decimal place.)
(Round the answer to two decimal places.)
C) Suppose that the average math test score was 578 for the state in part (b). What is the residual (prediction error) for this state?
(Round the answer to two decimal places.)
Explanation / Answer
B) For percent took = 4
Average Math = 575 - 1.11(4) = 570.56
C) If the actual score was 578 then:
Residual error = 578 - 570.56 = 7.44