Multiple Regression Analysis Was Used to Study the Relationship Between

question 135

Essay

Multiple regression analysis was used to study the relationship between a dependent variable, Y, and four independent variables; X1, X2, X3 and, X4. The following is a partial result of the regression analysis involving 31 observations.
$\begin{array}{lcc} & \text { Coefficient } & \text { Standard Error } \\\text { Intercept } & 18.00 & 6.00 \\\mathrm{X}_{1} &12.00 & 8.00 \\\mathrm{X}_{2} & 24.00 & 48.00 \\\mathrm{X}_{3} &-36.00 & 36.00 \\\mathrm{X}_{4} &16.00 & 2.00\end{array}$
$\text { Analysis of Variance }$
$\begin{array}{lllc}\text { Source } & \text { DF } & \text { SS } & \text { MS } &F\\\text { Regression } & & & 125\\\text { Error }&&\\\text { Total }&&760\end{array}$
a. Compute the coefficient of determination.
b. Perform a t test and determine whether or not β₁ is significantly different from zero α = 0.05).
c. Perform a t test and determine whether or not β4 is significantly different from zero α = 0.05).
d. At α = 0.05, perform an F test and determine whether or not the regression model is significant.

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Definitions:

Emotional Flooding

A state where an individual feels overwhelmed by emotions to the point where it becomes difficult to think clearly or react rationally.

Genuineness

In therapeutic relationships, it refers to the therapist's ability to be authentic and transparent with their feelings and thoughts.

Unconditional Positive Regard

A therapeutic stance characterized by accepting and supporting clients without judgment, a core concept in person-centered therapy.

Conditions of Worth

Standards that individuals believe they must meet to earn positive regard and acceptance from others.