A teacher is studying the relationship between the number of practice quizzes taken and final exam scores among students in a math class. The data for 1010 students is shown below:The correlation coefficient for this data is r=0.98r=0.98, indicating a strong positive linear relationship. The teacher then adds data for an $$11th11^{\text{th}$$} student who took only 22 quizzes but scored 9595 on the exam. How would this new data point likely affect the correlation coefficient rr?

The value of rr increases, because the new student scored very high.

The value of rr stays the same, because only one point was added.

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11. Correlation

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11. Correlation

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Problem 44Multiple Choice

A teacher is studying the relationship between the number of practice quizzes taken and final exam scores among students in a math class. The data for $10$ students is shown below:

The correlation coefficient for this data is $r equals 0.98$ , indicating a strong positive linear relationship. The teacher then adds data for an $11 raised to the th power$ student who took only $2$ quizzes but scored $95$ on the exam. How would this new data point likely affect the correlation coefficient $r$ ?

The value of $r$ decreases, because the new point weakens the existing linear trend.

The value of $r$ increases, because the new student scored very high.

The value of $r$ stays the same, because only one point was added.

The value of $r$ becomes zero, because the new point is unrelated to the others.

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