Question

Mr. Moore is trying to convince his high school students that it is better to slow down when they are learning to type. He believes that students who type too quickly make too many errors. To prove this point, Mr. Moore has the students take a typing test. He records their average typing speed (in words per minute), x, and the number of errors they made, y. The line of best fit/regression line of this data is: y = 3.473x - 155.317
Question: Does this support Mr. Moore's claim that the slower a student types, the fewer errors will be made?
1. No, it shows that the faster the student typed, the fewer errors were made.
2. Yes, it shows that more errors were made the faster a student typed.

Answer 1

To analyze Mr. Moore's claim, we need to interpret the regression line equation given:

\( y = 3.473x - 155.317 \)

In this equation:

- \( y \) represents the number of errors made.
- \( x \) represents the average typing speed (in words per minute).
- The coefficient of \( x \), which is \( 3.473 \), indicates that as the typing speed increases (as \( x \) increases), the number of errors (as \( y \) increases) also increases.

This means that, according to the regression line, **the faster a student types, the more errors they make.**

Therefore, this supports Mr. Moore's claim that the slower a student types, the fewer errors will be made.

The correct answer is:

2. Yes, it shows that more errors were made the faster a student typed.