Problem 2: The electric power consumed each month by a chemical plant [y] is thought to be related to the average ambient temperature (x1), the number of days in the past month (x2), the average product purity (x3), and the tons of the product produced (x4). The past year's historical data have been saved in a IMP file. Below is the multivariate analysis of the data. 5] [1 pt.) Conduct a multivariate analysis and paste below. [Analysis>Multivariate Methods>Multivariate] 6] [4 pts.) What do the correlations and scatterplots tell us about the relationships between the pairs of variables? In your discussion, you should touch upon the following questions. Make sure you provide evidence and support your answers. ' Are there any outliers? What variables may provide significant information to predict power consumption? What variables may be redundant? In other words, what explanatory variables may contain the same information? ' Which variable do you feel would be the best predictor of power consumption? Multivariate Correlations x1 x2 X3 x4 y 1.0000 0.7515 0.8029 0.0488 -0.0092 x1 0.7515 1.0000 0.6605 -0.2876 -0.0236 x2 0.8029 0.6605 1.0000 0.1127 -0.0253 x3 0.0488 -0.2876 0.1127 1.0000 0.0789 X4 -0.0092 -0.0236 -0.0253 0.0789 1.0000 The correlations are estimated by Row-wise method. Scatterplot Matrix 300 280 y 260 240 80 . . 60 x1 40 20 25 .. x2 23 21 - 94 92 90 x3 88 86 110 105 100 X4 95 90 240 280 20 40 60 80 21 23 25 86 90 94 90 100 110