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9.3 THE SAMPLE REGRESSION EQUATION 417<br />

Dialog box:<br />

Stat ➤ Regression ➤ Regression<br />

Type y in Response and x in Predictors.<br />

Click Storage. Check Residuals and Fits.<br />

Click OK.<br />

Session command:<br />

MTB > Name C3 = ‘FITS1’ C4 = ‘RESI1’<br />

MTB > Regress ‘y’ 1 ‘x’;<br />

SUBC> Fits ‘FITS1’;<br />

SUBC> Constant;<br />

SUBC> Residuals ‘RESI1’.<br />

Output:<br />

Regression Analysis: y versus x<br />

The regression equation is<br />

y=-216+3.46 x<br />

Predictor Coef Stdev t-ratio p<br />

Constant -215.98 21.80 -9.91 0.000<br />

x 3.4589 0.2347 14.74 0.000<br />

s=33.06 R-sq=67.0% R-sq(adj)=66.7%<br />

Analysis of Variance<br />

SOURCE DF SS MS F p<br />

Regression 1 237549 237549 217.28 0.000<br />

Error 107 116982 1093<br />

Total 108 354531<br />

Unusual Observations<br />

Obs. x y Fit Stdev.Fit Residual St.Resid<br />

58 86 155.00 82.52 3.43 72.48 2.20R<br />

65 120 90.41 197.70 7.23 -107.29 -3.33R<br />

66 120 106.00 198.74 7.29 -92.74 -2.88R<br />

71 107 87.99 154.12 4.75 -66.13 -2.02R<br />

97 106 241.00 150.66 4.58 90.34 2.76R<br />

102 109 229.00 161.38 5.13 67.62 2.07R<br />

103 115 253.00 181.79 6.28 71.21 2.19R<br />

R denotes an obs. with a large st. resid.<br />

FIGURE 9.3.2 MINITAB procedure and output for obtaining the least-squares regression<br />

equation from the data in Table 9.3.1.

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