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Perplex
IB Math AIHL
/
Bivariate Statistics
/

Problem Bank

IB Math AIHL
/
Bivariate Statistics
/

Problem Bank

[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 (h)

​0​

​1​

​2​

​4​

​5​

​8​

Score (s)

​45​

​52​

​62​

​65​

​74​

​88​

  1. Find and interpret Pearson's product-moment correlation coefficient, ​r, for this data.

    [2]

    To earn a crown, get your answer ready before you reveal the options!

  2. Find the equation of the regression line of ​s​ on ​t.

    [2]
  3. Use the regression line found in (b) to predict the score of a student who spent ​7​ hours studying.

    [2]
  4. 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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[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 (h)

​0​

​1​

​2​

​4​

​5​

​8​

Score (s)

​45​

​52​

​62​

​65​

​74​

​88​

  1. Find and interpret Pearson's product-moment correlation coefficient, ​r, for this data.

    [2]

    To earn a crown, get your answer ready before you reveal the options!

  2. Find the equation of the regression line of ​s​ on ​t.

    [2]
  3. Use the regression line found in (b) to predict the score of a student who spent ​7​ hours studying.

    [2]
  4. 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

I'm Plex, here to help with problems on this worksheet!