Problem Bank | IB Math AASL

[Maximum mark: 7]

A teacher surveys his class to find out how long each student spent studying for a recent test. The time, in hours, each student spent studying is shown alongside their score in the following table.

Study time (t)	0	1	2	4	5	8
Score (s)	45	52	62	65	74	88

Find and interpret Pearson's product-moment correlation coefficient, r, for this data.
[2]
Find the equation of the regression line of s on t.
[2]
Use the regression line found in (b) to predict the score of a student who spent 7 hours studying to the nearest whole number.
[2]
Explain why the regression equation should not be used to predict the score of a student who studied 25 hours for the test.
[1]

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[Maximum mark: 7]

A teacher surveys his class to find out how long each student spent studying for a recent test. The time, in hours, each student spent studying is shown alongside their score in the following table.

Study time (t)	0	1	2	4	5	8
Score (s)	45	52	62	65	74	88

Find and interpret Pearson's product-moment correlation coefficient, r, for this data.
[2]
Find the equation of the regression line of s on t.
[2]
Use the regression line found in (b) to predict the score of a student who spent 7 hours studying to the nearest whole number.
[2]
Explain why the regression equation should not be used to predict the score of a student who studied 25 hours for the test.
[1]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

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