Question

Let Y be a student's score in points out of 100 possible on an introductory physics final exam. Let X be the number of minutes a student was allowed to spend on the exam. The physics professor randomly assigned X=90 or X=120 to see the effect on score. The estimated regression has intercept 49 pts and slope 0.24pts/min. If students are instead given 5 hours for the test, we'd expect:_________

Answer 1

100 marks

Explanation:

`x` is the number of minutes a student was allowed to spend on the exam

`y` is the students score out of 100

The slope of the regression line is
`0.24`

The intercept is
`49`

The equation of the regression line is
`y=0.24x+49`

If
`x=5* 60=300`

`y=0.24*300+49\\\Rightarrow y=121`

We would expect a score of 100 as the test has a total score of 100 marks.