Nutritionist
a Nutritionist Is Analyzing the Cost of an 8 $$Y = 1.39 + 0.0178 \times 1 - 0.0258 \times 2 - 0.00050 \times 3$$

question 21

Short Answer

Nutritionist
A nutritionist is analyzing the cost of an 8 oz.serving of pasta.The nutritionist anticipates that cost is related to:
x₁ = Grams of protein/8 oz.
x₂ = Grams of carbohydrates/8 oz.
x₃ = Grams of fat/8 oz.
Using MINITAB,the nutritionist obtained the following results: The regression equation is
$$Y = 1.39 + 0.0178 \times 1 - 0.0258 \times 2 - 0.00050 \times 3$$
$\begin{array}{lcll}\text { Predictor } & \text { Coef } & \text { Stdev } &{\text { t-ratio }} \\\text { Constant } & 1.3928 & 0.1096 & 12.71 \\\text { X1 } & 0.017806 & 0.006600 & 2.70 \\\text { X2 } & -0.025825 & 0.001613 & -16.01 \\X 3 & -0.000501 & 0.002779 & -0.18\end{array}$
$s=0.04805 \quad \mathrm{R}-\mathrm{sq}=97.5 \% \quad \mathrm{R}-\mathrm{sq}(\mathrm{adj})=96.6 \%$
Analysis of Variance
$\begin{array}{lllcc}\text { SOURCE } & \text { DF } & & \text { SS } & \text { MS } \\\text { Regression } & & 3 & 0.72562 & 0.24187 \\\text { Error } & 8 & {0.01847} && 0.00231 \\\text { Total } & 11 &&{0.74409} &\end{array}$
-From these regression results,compute a 95% prediction interval for y when x₁ = 4,x₂ = 5,and x₃ = 3.

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