Use the Following for Questions
an Operations Manager Was $= 30.7 - 1.84$

question 13

Essay

Use the following for questions
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Below are the scatterplot, regression results, and residual plots for these data. The regression equation is
Trouble Shooting $= 30.7 - 1.84$ Training
$\begin{array} { l r r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 30.729 & 1.023 & 30.03 & 0.000 \\ \text { Training } & - 1.8360 & 0.1376 & - 13.35 & 0.000 \end{array}$
$$S = 1.43588 \quad \mathrm { R } - \mathrm { Sq } = 93.2 \text { \% } \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } ) = 92.7 \text { \% }$$
Analysis of Variance
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Regression } & 1 & 367.20 & 367.20 & 178.10 & 0.000 \\ \text { Residual Error } & 13 & 26.80 & 2.06 & & \\ \text { Total } & 14 & 394.00 & & & \end{array}$


-Write a sentence to interpret the coefficient of training in the regression equation.

---

Definitions:

Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number.

P < 0.05

A statistical threshold indicating that the observed results are significant with a probability of less than 5% being due to chance.

Obtained Value

The actual value measured or computed from a data set or experiment, often compared against a theoretic or critical value in hypothesis testing.

Population Standard Deviation

The population standard deviation is a measure of the dispersion or spread of a set of values within a population, quantifying how much the values differ from the population mean.