The figure for this exercise is a scatter plot of average ma

The figure for this exercise is a scatter plot 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. From the choices below, the best interpretation of the slope estimator is: OF or each 1-percent decrease in the percentage of high school graduates taking the test, the average math test score decreases 1.11 points If no high school seniors in a particular state take the exam, the average math score is expected to be 575 points For each 1-percent increase in the percentage of high school graduates taking the test, the average math test decreases 1.11 points For each 1.11 point decrease in average math test scores, the percentage of high school graduates taking the test increases by 1% If all high school seniors in a particular state take the exam, the average math score is expected to be 575 points In a certain state, only 9% 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.) Suppose that the average math test score was 575 for the state in part (b). What is the residual (prediction error) for this state? (Round the answer to to two decimal places.)

Solution

A)

option 1= wrong (there will be an increase and not decrease by 1.11 due to -ve sign)

Option 2:= wrong (if no student then how can the average be 575)

option 3= right

option 4:= wrong (same as aobve)

ans C or 3

2) predicted average score will be = 575- 1.11* 9 = 575-9.99 = 565.01

3) residual error= Observed value - Predicted value = 575- 565.01 =9.99