Question: + In a small-scale experimental study of the relation between degree of brand liking (Y) and moisture content (X1) and sweetness (X2) of the product,

+ In a small-scale experimental study of the relation between degree of brand liking (Y) and moisture content (X1) and sweetness (X2) of the product, the following results were obtained from the experiment based on a completely randomized design (dataset is attached in the Moodle site) Note: For this question, you are allowed to obtain the summary statistics (e.g. 1, 82, MSE etc.) by statistical software. However, we encourage you to obtain the statistics (e.g. 31. Bo) by hand. 1 2 3 14 15 16 4 10 10 2 2 4 2 4 Y 64 73 61 95 94 100 (a) Fit multiple linear regression model to the data. State the estimated re- gression function. How is B, interpreted here? (b) Test whether there is a regression relation, using a = 0.1. State the alter- natives, decision rule, and conclusion. What does your test imply about 31 and 82? 211 4 4 10 22 4 2 64 73 61 4 4 4 2 76 4 4 6 2 72 80 6 4 71 6 2 6 4 83 83 8 2 89 8 4 86 2 88 93 4 88 10 2 95 10 4 94 2 10 10 100 4

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