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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Definitions:

Cognitive Dissonance Theory

A psychological theory suggesting that individuals experience discomfort when holding contradictory beliefs and are motivated to reduce this dissonance by changing their attitudes or behaviors.

Postdecisional Dissonance

Psychological discomfort experienced after making a difficult decision, often leading to regret or questioning of the choice.

Festinger

A psychologist known for developing the theory of cognitive dissonance and contributing significantly to the field of social psychology.

Car Dealership

A business that sells new or used cars at the retail level, often having a dealership contract with an automaker or its sales subsidiary.