a-teacher-is-studying-the-relationship-between-the-number-of-practice-quizzes-ta

Question

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:

Data table showing quizzes taken and corresponding exam scores, indicating a strong positive correlation.

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 $r$ ?

Accepted Answer

The value of $10$ decreases, because the new point weakens the existing linear trend.

Answer

The value of $10$ increases, because the new student scored very high.

Answer

The value of $10$ stays the same, because only one point was added.

Answer

The value of $10$ becomes zero, because the new point is unrelated to the others.