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.

Question

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

Answer 1

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