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

question 63

Essay

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). $$\begin{array}{l}\begin{array} { l c c } & \text { Coefficient } & \text { Standard Error } \\\text { Intercept } & 13.251 & 10.77 \\\mathrm { x } & 0.803 & 0.385\end{array}\\\mathrm { ANOVA }\\\begin{array} { l l } & S S \\\text { Regression } \\\text { Error (Residual) } & 41.674 \\\text { Total } & 71.875\end{array}\end{array}$$ ​
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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SAT Scores

Scores obtained on the SAT, a standardized test widely used for college admissions in the United States, measuring proficiency in math, evidence-based reading, and writing.

Last Month

A reference to the calendar month immediately preceding the current one.

Times A Day

A frequency measure indicating the number of times an event occurs within a single day.

Inferential Statistics

A branch of statistics that uses a random sample of data taken from a population to describe and make inferences about that population.