TABLE 14-11
a Logistic Regression Model Was Estimated in Order

question 132

Short Answer

TABLE 14-11
A logistic regression model was estimated in order to predict the probability that a randomly chosen university or college would be a private university using information on average total Scholastic Aptitude Test score (SAT) at the university or college, the room and board expense measured in thousands of dollars (Room/Brd), and whether the TOEFL criterion is at least 550 (Toefl550 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).
The Minitab output is given below:
Logistic Regression Table
$\begin{array}{lrrrrrrr} & & & && \text { Odds } & \text { 95: CI } \\\text { Predictor } & {\text { Coef }} & \text { SE Coef } & Z &{\text { P }} & \text { Ratio } & \text { Lower } & \text { Upper } \\\text { Constant } &-27.118&6 .696& -4.05 & 0.000 & & & \\\text { SAT } & 0.015 & 0.004666 & 3.17 & 0.002 & 1.01 & 1.01 & 1.02 \\\text { Toefl550 } & -0.390 & 0.9538 & -0.41 & 0.682 & 0.68 & 0.10 & 4.39 \\\text { Room/Brd } & 2.078 & 0.5076 & 4.09 & 0.000 & 7.99 & 2.95 & 21.60\end{array}$

Log-Likelihood = -21.883
Test that all slopes are zero: G = 62.083, DF = 3, P-Value = 0.000
Goodness-of-Fit Tests

$\begin{array}{lrcr}\text { Method } & \text { Chi-Square } & \text { DF } & \text { P } \\ \text { Pearson } & 143.551 & 76 & 0.000 \\ \text { Deviance } & 43.767 & 76 & 0.999 \\ \text { Hosmer-Lemeshow } & 15.731 & 8 & 0.046\end{array}$



TABLE 14-10

Regression Analysis
$\begin{array}{lr}\hline\text {Regression Statistics } \\\hline\text { Multiple R} & 0.63 \\\text {R Square }& 0.40 \\\text {Adjusted R Square} & 0.23 \\\text {Standard Error }& 50.00 \\\text {Observations} & 15.00 \\\hline\end{array}$

ANOVA
$\begin{array}{lccccc}\hline & \text { d f} & \text {SS} & \text {MS} & \text {F } & \text {Significance F } \\\hline \text {Regression} & 3 & & 5994.24 & 2.40 & 0.12 \\\text {Residual }& 11 & 27496.82 & & & \\\text {Total }& 45479.54 & & & \\\hline\end{array}$

$\begin{array}{lccrrrr}\hline & \text {oefficients}&\text { Standard Error }& \text { t Stat} &\text { p-value }& \text {Lower 99.0\% }& \text {Upper 99.0 \% } \\\hline\text { Intercept} & 123.80 & 48.71 & 2.54 & 0.03 & -27.47 & 275.07 \\\text {AGE }& -0.82 & 0.87 & -0.95 & 0.36 & -3.51 & 1.87 \\\text {TICKETS}& 21.25 & 10.66 & 1.99 & 0.07 & -11.86 & 54.37 \\\text {DENSITY} & -3.14 & 6.46 & -0.49 & 0.64 & -23.19 & 16.91 \\\hline\end{array}$

-Referring to Table 14-11, what is the estimated probability that a school with an average SAT score of 1250, a TOEFL criterion that is at least 550, and the room and board expense of 5 thousand dollars will be a private school?

Comprehend the impact of early childhood experiences on adult relationships through the lens of psychosocial development theory.

Differentiate between the theories of neo-Freudians and their contributions to psychology.

Appreciate the role of consciousness in shaping one’s personality according to select psychologists.

Recognize the significance of social relationships over unconscious sexual impulses in personal development.

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Definitions:

Implicit Favorite

An unconsciously preferred choice or option among a set of alternatives, often influencing decision-making processes.

Alternatives

Are different options or choices available to decision-makers in a problem-solving or decision-making process.

Escalation of Commitment

The tendency to continue to invest in a decision or project despite evidence of its failure, often due to emotional attachment or sunk costs.

Prospect Theory

A psychological theory that describes how people choose between probabilistic alternatives that involve risk, where the potential for losses is weighted more heavily than equivalent gains.