What is the estimated EFFECT of the X 2 X 3 interaction on Y? Also, briefly inte
ID: 3172095 • Letter: W
Question
What is the estimated EFFECT of the X2X3 interaction on Y? Also, briefly interpret this result.
I know what the effect is. x2x3 = -6.625. I don't understand how to interpret what the EFFECT of -6.625 means. Can you help me with this
LOW (-1) DESCRIPTION HIGH (+1) 20 30 Amount of lens hardening agent in mixture X1 X2 Centrifuge speed used to produce lens 5000 RPM 300 RPM X3 Temperature of material 60 C 80 C Experimental results follow: Observation X3 Percentage 94.9 2 86.9 98.4 77.7 94.8 87.9 98.2 79.1 94.1 90.0 11 99.5 12 80.2 13 92.3 Y14 84.3 Y15 97.9 75.9 Y17 94.0 Y18 90.5 96.1 Y19 80.8 21 93.4 Y22 88.6 23 96.8 78.4 y 2150.7 y 1083.1 y t 1091.7 y+ 1150.4Explanation / Answer
What is the estimated EFFECT of the X2X3 interaction on Y? Also, briefly interpret this result.
I know what the effect is. x2x3 = -6.625. I don't understand how to interpret what the EFFECT of -6.625 means. Can you help me with this?
Answer:
The estimated effect of the interaction X2X3 on the dependent variable Y is nothing but the effect produced due to the combined interaction due to presence of two independent variables X2 and X3. For this combined effect of given two independent variables centrifuge speed used to produce lens (X2) and temperature of material (X3), the coefficient is given as -6.625 which means there is negative interaction effect on the dependent variable Y. The negative value of interaction X2X3 indicates the decrement in the estimated value of dependent variable Y as interaction present in the given model. In general, interaction of the two independent variable is the combined effect due to presence of these two variables which affect the dependent variable positively or negatively.
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