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Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is: Final exam = 50 + 0.5 × midterm. One interpretation of the slope is?

Answer:

* a) A student who scored 0 on the midterm would be predicted to score 50 on the final exam.
* b) A student who scored 0 on the final exam would be predicted to score 50 on the mid term exam
* c) A student who scored 10 points higher than another student on the midterm would be predicted to score 5 points higher than the other student, did on the final exam
* d) Students only receive half as much credit (.5) for a correct answer on the final exam compared to a correct answer on the midterm exam

Answer - c

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One use of a regression line is?Scenario: A survey asked people how often they exceed speed limits. The data are then categorized into the following contingency table of counts showing the relationship between age group and response.

Exceed Limit if Possible Age Always Not Always Total

Under 30 100 100 200

Over 30 40 160 200

Total 140 260 400

Among people with age over 30, what is the risk of always exceeding the speed limit?