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

Answer:

100 marks

Step-by-step 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 $x=5\times 60=300$

$y=0.24\times300+49\\\Rightarrow y=121$

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