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Using the Computer 515<br />

Cumulative Hours<br />

of Training<br />

Productivity<br />

(in pounds per week)<br />

0 70,000<br />

100 70,350<br />

250 70,500<br />

375 72,600<br />

525 74,000<br />

750 76,500<br />

875 77,000<br />

1,100 77,400<br />

1,300 77,900<br />

1,450 77,200<br />

1,660 78,900<br />

1,900 81,000<br />

2,300 82,500<br />

(continued)<br />

Cumulative Hours<br />

of Training<br />

Productivity<br />

(in pounds per week)<br />

2,600 84,000<br />

2,850 86,500<br />

3,150 87,000<br />

3,500 88,600<br />

4,000 90,000<br />

Source: Adapted from “Delta Wire Corporation,” Strengthening America’s<br />

Competitiveness: Resource Management Insights for Small Business Success.<br />

Published by Warner Books on behalf of Connecticut Mutual Life Insurance<br />

Company and the U.S. Chamber of Commerce in association with the Blue<br />

Chip Enterprise Initiative, 1991, International Monetary Fund; Terri<br />

Bergman, “TRAINING: The Case for Increased Investment,” Employment<br />

Relations Today, Winter 1994–1995, pp. 381–391, available at http://www.<br />

ed.psu.edu/nwac/document/train/invest.html. Bekaert Web site at: http://www.<br />

bekaert.com/corporate/press/2006/31-jan-2006.htm.<br />

USING THE COMPUTER<br />

EXCEL<br />

■<br />

■<br />

■<br />

Excel has the capability of doing simple regression analysis.<br />

For a more inclusive analysis, use the Data Analysis tool. For<br />

a more “a la carte” approach, use Excel’s Insert Function.<br />

To use the Data Analysis tool for a more inclusive analysis,<br />

begin by selecting the Data tab on the Excel worksheet.<br />

From the Analysis panel at the right top of the<br />

Data tab worksheet, click on Data Analysis. If your Excel<br />

worksheet does not show the Data Analysis option, then<br />

you can load it as an add-in following directions given in<br />

Chapter 2. From the Data Analysis pulldown menu,<br />

select Regression. In the Regression dialog box, input the<br />

location of the y values in Input Y Range. Input the location<br />

of the x values in Input X Range. Input Labels and<br />

input Confidence Level. To pass the line through the origin,<br />

check Constant is Zero. To print out the raw residuals,<br />

check Residuals. To print out residuals converted to z<br />

scores, check Standardized Residuals. For a plot of the<br />

residuals, check Residual Plots. For a plot of the line<br />

through the points, check Line Fit Plots. Standard output<br />

includes r, r 2 , s e , and an ANOVA table with the F test, the<br />

slope and intercept, t statistics with associated p-values,<br />

and any optionally requested output such as graphs or<br />

residuals.<br />

To use the Insert Function (f x ) go to the Formulas tab on<br />

an Excel worksheet (top center tab). The Insert Function<br />

is on the far left of the menu bar. In the Insert Function<br />

dialog box at the top, there is a pulldown menu where it<br />

says Or select a category. From the pulldown menu associated<br />

with this command, select Statistical. Select<br />

INTERCEPT from the Insert Function’s Statistical menu<br />

to solve for the y-intercept, RSQ to solve for r 2 , SLOPE to<br />

solve for the slope, and STEYX to solve for the standard<br />

error of the estimate.<br />

MINITAB<br />

■ Minitab has a relatively thorough capability to perform<br />

regression analysis. To begin, select Stat from the menu bar.<br />

Select Regression from the Stat pulldown menu. Select<br />

Regression from the Regression pulldown menu. Place the<br />

column name or column location of the y variable in<br />

Response. Place the column name or column location of<br />

the x variable in Predictors. Select Graphs for options<br />

relating to residual plots. Use this option and check Four in<br />

one to produce the residual diagnostic plots shown in the<br />

chapter. Select Options for confidence intervals and prediction<br />

intervals. Select Results for controlling the regression<br />

analysis output. Select Storage to store fits and/or<br />

residuals.<br />

■ To obtain a fitted-line plot, select Stat from the menu bar.<br />

Select Regression from the Stat pulldown menu. Select<br />

Fitted Line Plot from the Regression pulldown menu. In<br />

the Fitted Line Plot dialog box, place the column name or<br />

column location of the y variable in Response(Y).<br />

■ Place the column name or column location of the x variable<br />

in Response(X).Check Type of Regression Model as<br />

Linear (Chapter 12), Quadratic,or Cubic.<br />

■ Select Graphs for options relating to residual plots. Use<br />

this option and check Four in one to produce the residual<br />

diagnostic plots shown in the chapter.<br />

■ Select Options for confidence intervals and prediction<br />

intervals.<br />

■ Select Storage to store fits and/or residuals.

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