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Below You Are Given a Partial Computer Output Based on a Sample

question 63

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Below you are given a partial computer output based on a sample of 8 observations relating an independent variable (x) and a dependent variable (y).  Coefficient  Standard Error  Intercept 13.25110.77x0.8030.385ANOVASS Regression  Error (Residual) 41.674 Total 71.875\begin{array}{l}\begin{array} { l c c } & \text { Coefficient } & \text { Standard Error } \\\text { Intercept } & 13.251 & 10.77 \\\mathrm { x } & 0.803 & 0.385\end{array}\\\mathrm { ANOVA }\\\begin{array} { l l } & S S \\\text { Regression } \\\text { Error (Residual) } & 41.674 \\\text { Total } & 71.875\end{array}\end{array}
a.
Develop the estimated regression equation.
b.
At α = .05, test for the significance of the slope.
c.
At α = .05, perform an F test.
d.
Determine the coefficient of determination.

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Definitions:

Milliliters

A unit of volume in the metric system, equivalent to one-thousandth of a liter, used to measure liquids or gases.

Liters

A metric unit of volume equal to one cubic decimeter or 1,000 cubic centimeters, often used for measuring liquids.

Milligrams

A unit of mass equal to one thousandth of a gram, used in measurements of small quantities of substances.

Grams

A unit of mass equal to one thousandth of a kilogram in the metric system, commonly used for measuring small quantities of material.

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