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AP® Statistics

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Studying Times

APSTAT-T1FTTX

A statistics professor wanted to know the relationship between the number of minutes spent studying in preparation for the final exam and students’ scores on the test. The professor plotted the number of minutes spent as the explanatory variable and the students' scores as the response. The results are shown in the scatterplot above.

Which of the following statements is true about the scatterplot and this relationship?

Created for Albert.io. Copyright 2016. All rights reserved.

A

A negative relationship exists between the number of minutes spent studying and the score.

B

The correlation, $r$, will be positive and weak for this data set.

C

It appears that the model above is very useful for predicting final exam score.

D

The data points for students who spend a high number of minutes studying are influential; eliminating these data points will bring down the slope and correlation.

E

The data points for students who spend a high number of minutes studying are influential; removing them will bring down the correlation but not the slope of the LSRL.