Show the steps 15.15. Four different formulations of an industrial glue are bein

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15.15. Four different formulations of an industrial glue are being tested. The tensile strength of the glue when it is applied to join parts is also related to the application thickness. Five observations on strength (y) in pounds and thickness (x) in 0.01 inches are obtained for each formulation. The data are shown in the following table. Analyze these data and draw appropriate conclusions. Glue Formulation 46.5 13 48.7 12 46.3 15 44.7 16 45.9 14 49.0 10 47.1 14 43.0 15 49.8 12 50.1 11 48.9 1 51.0 10 46.1 12 48.5 12 48.2 11 48.1 12 44.3 14 45.2 14 50.3 10 48.6 11

Explanation / Answer

Using regression approach to analyze the data, test whether the four regression lines are parallel.

General Linear Model: Strength versus Formulation

Factor     Type Levels Values

Formulat fixed      4 1 2 3 4

Source     DF     Seq SS     Adj SS     Adj MS       F      P

Thicknes    1     63.501     53.201     53.201   32.64 0.000

Formulat    3      2.809      2.809      0.936    0.57 0.640

Error      15     24.447     24.447      1.630

Total      19     90.758

Term          Coef   SE Coef        T      P

Constant    59.308     2.099    28.25 0.000

Thicknes   -0.9545    0.1671    -5.71 0.000

Formulat

1          -0.3801    0.5029    -0.76 0.462

2           0.2546    0.5062     0.50 0.622

3           0.4964    0.4962     1.00 0.333

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