Shown Below Is a Partial Computer Output from a Regression

question 57

Essay

Shown below is a partial computer output from a regression analysis. $\begin{array}{lll} & \text { Coefficients } & \text { Standard Etror } \\\text { Constant } & 10.00 & 2.00 \\\mathrm{x}_{1} & -2.00 & 1.50 \\\mathrm{x}_{2} & 6.00 & 2.00 \\\mathrm{x}_{3} & -4.00 & 1.00\end{array}$
ANOVA
$\begin{array}{lllll} & d f & S S & M S&F \\\text { Regression } & & 60 & \\\text { Error }\\\text { Total } & 19 & 140\end{array}$ ​
a.
Use the above results and write the regression equation.
b.
Compute the multiple coefficient of determination and fully interpret its meaning.
c.
At α = .05, test to see if there is a relation between x₁ and y.
d.
At α = .05, test to see if there is a relation between x₃ and y.
e.
Is the regression model significant? Perform an F test and let α = .05.

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Definitions:

Latency Stage

A psychosexual development stage proposed by Freud, occurring between the ages of six and puberty, where sexual impulses are repressed or dormant.

Freud

Sigmund Freud, an Austrian neurologist and the founder of psychoanalysis, a method through which an analyst unpacks unconscious conflicts based on the free associations, dreams and fantasies of the patient.

Archetypes

Universal, symbolic images that appear in myths, art, stories, and dreams; they embody fundamental human motifs and collective experiences.

Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for his theories of the collective unconscious and archetypes.