Suppose You Are Interested in Determining the Factors That Determine $Crime~ \hat{per }~Student = 35 - 15$

question 44

Essay

Suppose you are interested in determining the factors that determine the number of crimes committed on campus.To this end,you collect data from 75 colleges on number of crimes per students enrolled,number of police officers per students,unemployment rate,tuition,and the percentage of male students.You run a regression and obtain the following results $Crime~ \hat{per }~Student = 35 - 15$ Police per Student $- .24$ Tuition
(13) (4) $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ (.07)
$+ 3$ Unemployment Rate $+ 8$ Percent Male
$( 2.5 )$$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ (5)
$$\begin{array} { c } \mathrm { n } = 75 \\\mathrm { R } ^ { 2 } = .2305\end{array}$$
a)Which of the coefficient estimates are statistically significant at the 5% level?
b)You run an additional regression in order to jointly test if two coefficients are equal to 0.State the hypothesis,calculate the test statistic,state the regression rule,and state your decision. $Crime~ \hat{per} Student= 33 - 18$ Police per Student $- .35$ Tuition
$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ (12) (3) $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( .05 )$
$$\begin{aligned}\mathrm { n } & = 75 \\\mathrm { R } ^ { 2 } & = .2134\end{aligned}$$

Understand the role of audience perception and compliance expectation in crafting routine requests.

Grasp the importance and application of being specific and clear when asking questions within a routine request.

Identify the elements of a courteous close in a routine request.

Comprehend the strategies for stating the request effectively and efficiently.

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Definitions:

Interquartile Range

A measure of statistical dispersion, equal to the difference between the upper and lower quartiles, representing the middle 50% of the data.

Outliers

Data points that significantly differ from other observations in a data set, often indicating measurement error or a novel phenomena.

Range

The difference between the highest and lowest values in a dataset, providing a measure of the data's spread or variability.

Range

The difference between the highest and lowest values in a data set, indicating the spread of values.