Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When P 1 (72.81 KiB) Viewed 101 times
Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When P 2 (61.06 KiB) Viewed 101 times
Unless otherwise stated, carry out inferences using a = 0.05. Hypotheses should be written in terms of parameters when possible, and conclusions of hypothesis tests should be given using the context of the problem. Recall the cake preference data set discussed in class. The response variable is a preference score, where a high number represents high preference. Cake moisture content is recorded as the continuous variable Xy, while Xz can be treated as a binary categorical variable recorded as "sweet" or "not sweet." The 16 observations are housed in the file cake_ratings.txt. a) Perform the overall F-test, stating the hypotheses, test statistic, p-value, and conclusion. b) Give interpretations of the quantities b, and by as obtained from this model. c) Use the fitted model to estimate the mean cake rating for batches with a moisture value of 5 and a sweetness category of not sweet." d) A new batch of cake batter is mixed and is about to be placed in the oven. The ingredients are known to produce cake with moisture value 5 of the "not sweet" variety Produce a 95% prediction interval, and give a detailed explanation about the meaning of this interval, in terms of the liquid batter. e) A colleague suggests fitting a larger model that includes the interaction between moisture content and sweetness, for the sole purpose of testing whether that interaction term was required. Fit the appropriate model, and test whether the interaction term can be eliminated
X1 4 4 4 4 rating 64 73 61 76 72 80 71 83 83 89 86 93 88 95 94 100 6 6 6 ܘ ܗ ܗ ܗ 6 8 8 X2 not_sweet sweet not sweet sweet not_sweet sweet not_sweet sweet not_sweet sweet not sweet sweet not sweet sweet not sweet sweet 8 8 10 10 10 10
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