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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:_________

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Answer:

100 marks

Step-by-step explanation:

[tex]x[/tex] is the number of minutes a student was allowed to spend on the exam

[tex]y[/tex] is the students score out of 100

The slope of the regression line is [tex]0.24[/tex]

The intercept is [tex]49[/tex]

The equation of the regression line is [tex]y=0.24x+49[/tex]

If [tex]x=5\times 60=300[/tex]

[tex]y=0.24\times300+49\\\Rightarrow y=121[/tex]

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

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