Examine the Minitab output shown here for a multiple regression
analysis. How many predictors were there in this model? Comment on
the overall significance of the regression model. Discuss the
t ratios of the variables and their significance.
The regression equation is
y = 4.091  5.111x_{1}+
2.662x_{2} + 1.557x_{3} +
1.141x_{4} +1.655x_{5} 
1.248x_{6} + 0.436x_{7} +
0.959x_{8} + 1.289x_{9}


S = 3.437 Rsq = 40.8% Rsq(adj.) = 21.1% 
Analysis of Variance  

If we look at the Minitab output for this model, we can see that there are 9 predictors, i.e. x1, x2, x3, x4, x5, x6, x7, x8 and x9
The overall F statistic value and its corresponding p value at 0.05 significant level is not significant because the p value is greater than 0.05 significance level. So, we can not use this model for the prediction of dependent variable using all the nine independent variables because the F statistic and p value are not significant at 0.05 signifcance level.
If we look at the individual t values and p values corresponding to all the nine predictors, it is clear that not a single predictor is signifcant at 0.05 significance level because the p values for all 9 predictors are greater than 0.05 level.
So, there is no significant predictor.
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