Example 13

EXAMPLE 13 Calculating and interpreting , the standard error of the estimate

Calculate and interpret the standard error of the estimate for the memory score data.

Solution

and , so

Thus, the typical error in prediction is 1.2247 points. In other words, if we know the amount of time a given student spent memorizing, then our estimate of the student’s score on the short-term memory test will typically differ from the student’s actual score by only 1.2247 points.

Note: Here, we are rounding for reporting purposes. However, when we use for calculating other quantities later, we will not round until the last calculation.

NOW YOU CAN DO

Exercises 11b–22b.