Using the table, create a multiple linear regression model evaluating factor 1[x1] and factor 2[x2] against the response y.
Also, calculate the coefficient of determination and complete the regression ANOVA to determine if the model is valid.
Homework Answers
Here I attach the R code and output
y=c(26,24,175,160,163,55,62,100,26,30,70,71)
x1=c(1,1,1.5,1.5,1.5,0.5,1.5,0.5,1,0.5,1,0.5)
x2=c(1,1,4,4,4,2,2,3,1.5,1.5,2.5,2.5)
fit=lm(y~x1+x2)
summary(fit)
anova(fit)
since the p value for both the variables are less than 0.05 then we can say that both x1 and x2 are significant
The regression model can be written as 
the coefficient of determination R squared is 0.9771 which means that 97.71 percent of the total variation in the regression can be explained by the regression model.
The ANOVA table is given by
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