Recall the third exam/final exam example.

We examined the scatterplot and showed that the correlation coefficient is significant. We found the equation of the best fit line for the final exam grade as a function of the grade on the third exam. We can now use the least squares regression line for prediction.

Suppose you want to estimate, or predict, the final exam score of statistics students who received 73 on the third exam. The exam scores (** x-values**) range
from 65 to 75.

**Since 73 is between the**, substitute

*x*-values 65 and 75*x*= 73 into the equation. Then:

We predict that statistic students who earn a grade of 73 on the third exam will earn a grade of 179.08 on the final exam, on average.

Example 6.11

Recall the third exam/final exam example.

See Problem 1 - 2.

**Problem 1**

What would you predict the final exam score to be for a student who scored a 66 on the third exam?

**Solution**

145.27

**Problem 2**

What would you predict the final exam score to be for a student who scored a 90 on the third exam?

**With contributions from Roberta Bloom

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