Name Quiz: Regression Significance Spot veld diameter vs. Shear Strength data: 3

Question

Name Quiz: Regression Significance Spot veld diameter vs. Shear Strength data: 3.13 x + 368 1. Calculate the SS(Residual) using the regression equation above by hand. Round off all values to the nearest whole number. Weld Diameter Shear Strength in 0.001 215 230 250 265 250 in pounds 1025 1100 1030 1175 1300 2. Complete the table for the F test. Round off the sums of squares and the mean squares to the nearest whole number. Round off Fs to two decimals. Source Regression Residual Total df MS 52770 3. At the 0.05 significance level is the regression significant? Provide the critical value to support your answer.

Explanation / Answer

1.

2.

Analysis of Variance

Source DF SS MS F P
Regression 1 14996 14996 1.19 0.355
Residual Error 3 37774 12591
Total 4 52770

3.

P-value 0.335 > alpha 0.05, or F-value < F-critical value = 10.13, so we accept H0

Thus the regresion equation is not best fit the fiven data i.e. no significant

SSE X Y Ycap/fit (Y-Ycap)^2 215 1025 1041.471 271.28028 230 1100 1088.431 133.83314 250 1030 1151.046 14652.074 265 1175 1198.007 529.3007 250 1300 1151.046 22187.368 1210 5630 37773.856

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