In part 1b, we had assumed that the tastiness of the pie does not depend on the

Question

In part 1b, we had assumed that the tastiness of the pie does not depend on the amount of sugar. We now decide to conduct a scientific experiment to further investigate this claim Suppose you enlist the help of your friend (who is an expert baker and can measure pie ingredients exactly accurately) to bake six pies. All the pies use exactly two pounds of blue- berries and one pound of pastry dough (so we do not need to consider these variables as predictors since they are the same for all pies). The first two pies use no sugar, the third and fourth pies use a quarter pound of sugar each, and the last two pies use a half pound of sugar each. Supppose the tastinesses of the six pies (according to your friend, who is a master pie taster) are }, 1.4. ½ 2.0. Y3-2.0. Y, = 1.8, Ys = 3.0, and }, = 2.4. Letting Xi, , Xe denote the amount of sugar in the six pies, we wish to perform a simple linear regression of Y versus X

Explanation / Answer

In part 1b, we had assumed that the tastiness of the pie does not depend on the amount of sugar. We now decide to conduct a scientific experiment to further investigate this claim Suppose you enlist the help of your friend (who is an expert baker and can measure pie ingredients exactly accurately) to bake six pies. All the pies use exactly two pounds of blue- berries and one pound of pastry dough (so we do not need to consider these variables as predictors since they are the same for all pies). The first two pies use no sugar, the third and fourth pies use a quarter pound of sugar each, and the last two pies use a half pound of sugar each. Supppose the tastinesses of the six pies (according to your friend, who is a master pie taster) are }, 1.4. ½ 2.0. Y3-2.0. Y, = 1.8, Ys = 3.0, and }, = 2.4. Letting Xi, , Xe denote the amount of sugar in the six pies, we wish to perform a simple linear regression of Y versus X

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