experimental runs

[logistic_guy]

A set of experimental runs was made to determine a way of predicting cooking time \(\displaystyle y\) at various values of oven width \(\displaystyle x_1\) and flue temperature \(\displaystyle x_2\). The coded data were recorded as follows:

\(\displaystyle y\)​	\(\displaystyle x_1\)​	\(\displaystyle x_2\)​
6.40​	1.32​	1.15​
15.05​	2.69​	3.40​
18.75​	3.56​	4.10​
30.25​	4.41​	8.75​
44.85​	5.35​	14.82​
48.94​	6.20​	15.15​
51.55​	7.12​	15.32​
61.50​	8.87​	18.18​
100.44​	9.80​	35.19​
111.42​	10.65​	40.40​

Estimate the multiple linear regression equation

\(\displaystyle \mu_Y|_{x_1,x_2} = \beta_0 + \beta_1x_1 + \beta_2x_2\)

 

[khansaheb]

A set of experimental runs was made to determine a way of predicting cooking time \(\displaystyle y\) at various values of oven width \(\displaystyle x_1\) and flue temperature \(\displaystyle x_2\). The coded data were recorded as follows:

\(\displaystyle y\)​	\(\displaystyle x_1\)​	\(\displaystyle x_2\)​
6.40​	1.32​	1.15​
15.05​	2.69​	3.40​
18.75​	3.56​	4.10​
30.25​	4.41​	8.75​
44.85​	5.35​	14.82​
48.94​	6.20​	15.15​
51.55​	7.12​	15.32​
61.50​	8.87​	18.18​
100.44​	9.80​	35.19​
111.42​	10.65​	40.40​

Estimate the multiple linear regression equation

\(\displaystyle \mu_Y|_{x_1,x_2} = \beta_0 + \beta_1x_1 + \beta_2x_2\)

Please show us what you have tried and exactly where you are stuck.

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