A small-scale experiment was performed to study the relation between degree of brand liking (Y) and moisture content (X.) and sweetness (X.) of the product. The results of the study are stored in the file "Brand Preference.mwx" from that designed experiment. 1. Give the matrix plot for the experiment and comment on the relationships. 2. Fit a regression model to these variables and perform a complete test of model utility 3. Test for the significance of the individual predictors in the model and construct simultaneous interval estimates for the slopes of the predictors. 4. Perform the usual Residual Analysis for this model. Can we assume the model fit is valid? Explain why or why not. Som C1 C2 03 C4 Brand liki... Moisture i... i... Sweetness 1 64 4 N 2 73 4 4 4 3 61 4 N 4 76 4 4 5 72 6 2 6 80 4 6 7 71 N 6 00 83 4 6 9 83 8 2 10 89 8 4 11 86 00 N 12 93 4 00 13 88 10 2. 14 95 10 4 15 94 10 N 16 100 10 4 17 A small-scale experiment was performed to study the relation between degree of brand liking (Y) and moisture content (X.) and sweetness (X.) of the product. The results of the study are stored in the file "Brand Preference.mwx" from that designed experiment. 1. Give the matrix plot for the experiment and comment on the relationships. 2. Fit a regression model to these variables and perform a complete test of model utility 3. Test for the significance of the individual predictors in the model and construct simultaneous interval estimates for the slopes of the predictors. 4. Perform the usual Residual Analysis for this model. Can we assume the model fit is valid? Explain why or why not. Som C1 C2 03 C4 Brand liki... Moisture i... i... Sweetness 1 64 4 N 2 73 4 4 4 3 61 4 N 4 76 4 4 5 72 6 2 6 80 4 6 7 71 N 6 00 83 4 6 9 83 8 2 10 89 8 4 11 86 00 N 12 93 4 00 13 88 10 2. 14 95 10 4 15 94 10 N 16 100 10 4 17