Sherry is a production manager for a small manufacturing shop and is interested in developing a predictive model to estimate the time to produce an order of a given size - that is, the total time to produce a certain quantity of the product. She has collected the data on the total time to produce 30 different orders of various quantity in the file Setup. a) Develop a scatter diagram (scatter plot) with quantity as the independent variable. Be sure to label the graph and the axes. b) Compute the sample data correlation coefficient. Comment on the form, direction, and the strength of the relationship. c) Test for a significance of the positive correlation. Use a = 0.05. [Report the hypotheses, t-test
| Quantity | Total Time |
| 105 | 173 |
| 125 | 188 |
| 135 | 222 |
| 141 | 324 |
| 149 | 249 |
| 171 | 318 |
| 190 | 371 |
| 204 | 185 |
| 206 | 250 |
| 240 | 176 |
| 255 | 396 |
| 277 | 226 |
| 299 | 227 |
| 335 | 368 |
| 371 | 490 |
| 388 | 352 |
| 392 | 429 |
| 400 | 411 |
| 421 | 545 |
| 439 | 442 |
| 439 | 320 |
| 455 | 588 |
| 458 | 484 |
| 480 | 512 |
| 486 | 422 |
| 493 | 404 |
| 506 | 700 |
| 586 | 592 |
| 589 | 457 |
| 665 | 642 |
![Estimating Setup Time
Sherry is a production manager for a small manufacturing shop and is interested in developing a
predictive model to estimate the time to produce an order of a given size - that is, the total time to
produce a certain quantity of the product. She has collected the data on the total time to produce 30
different orders of various quantity in the file Setup.
a) Develop a scatter diagram (scatter plot) with quantity as the independent variable. Be sure to
label the graph and the axes.
b)
Compute the sample data correlation coefficient. Comment on the form, direction, and the
strength of the relationship.
c)
Test for a significance of the positive correlation. Use a = 0.05. [Report the hypotheses, t-test
statistic, either the p-value or the test or the critical value, state your decision and conclusion.]
d) Develop the estimated regression equation. Interpret the slope and the y-intercept.
e) Use the estimated regression equation to predict the total time to produce the order of size
240. What is the residual for this observation?
Report the standard error of the estimate, se. Interpret its value.
Report the coefficient of determination. Interpret the meaning of the value.
Report a 95% confidence interval for the slope coefficient.
h)
i) Test for a significance of the positive slope. Use a = 0.05. [Report the hypotheses, t-test
statistic, either the p-value or the test or the critical value, state your decision and conclusion.]
j) Test for the overall significance of the model. Use a = 0.05. [Report the hypotheses, F-test
statistic, either the p-value, state your decision and conclusion.]
f)
g)
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Develop the estimated regression equation.
What is the value of the y-intercept? Round to three decimal places.
by Bartleby ExpertReport a 95% confidence interval for the slope coefficient.
What is the right limit of the interval? Round to four decimals
by Bartleby ExpertTest for the overall significance of the model. Use =0.05.
Report the F-test statistic. Round to two decimal places.
by Bartleby ExpertReport a 95% confidence interval for the slope coefficient.
What is the left limit of the interval? Round to four decimals.
by Bartleby ExpertTest for a significance of the positive slope. Use =0.05.
What is the value of the t-test statistic? (Round your answer to three decimals.)
by Bartleby ExpertUse the estimated regression equation to predict the total time to produce the order of size 240.
Round to 2 decimals.
by Bartleby ExpertTest for a significance of the positive slope. Use =0.05. State your decision and conclusion.
by Bartleby ExpertReport the standard error of the estimate, Se. Round the answer to three decimals.
by Bartleby ExpertReport the coefficient of determination. Convert to percent. Round to one decimal.
by Bartleby ExpertTest for the overall significance of the model. Use =0.05.
State the hypotheses.
by Bartleby ExpertWhat is the residual for this (size = 240) observation? Round to 2 decimals
by Bartleby ExpertDevelop the estimated regression equation.
What is the value of the y-intercept? Round to three decimal places.
by Bartleby ExpertDevelop the estimated regression equation.
What is the value of the slope? (Round to three decimals.)
by Bartleby Expert