Question

The manager of a factory collected data in order to analyze the relationship between the number of hours of training a worker receives and the worker's error rate. The line of best fit for the collected data is y equals 0.1 minus 0.005 x, where x is the number of hours of training a worker receives and y is the error rate.



What approximate error rate should the manager expect for a worker who receives 6 hours of training?

Answer options with 4 options
A.
0.01

B.
0.07

C.
0.13

D.
0.17

Answers

GPT-4o mini
To find the approximate error rate for a worker who receives 6 hours of training, we can substitute \( x = 6 \) into the equation of the line of best fit:

\[
y = 0.1 - 0.005x
\]

Substituting \( x = 6 \):

\[
y = 0.1 - 0.005(6)
\]

Calculating \( 0.005(6) \):

\[
0.005 \times 6 = 0.03
\]

Now substituting this back into the equation:

\[
y = 0.1 - 0.03
\]
\[
y = 0.07
\]

Therefore, the approximate error rate the manager should expect for a worker who receives 6 hours of training is **0.07**.

Thus, the correct answer is:

**B. 0.07**