States
Concern Over the Number of Car Thefts Grew into a Project

question 55

Short Answer

States
Concern over the number of car thefts grew into a project to determine the relationship between car thefts by state and these variables:
x₁ = Police per 10,000 persons,by state
x₂ = Expenditure by local government for police protection,in thousands,by state
x₃ = New passenger car registrations,in thousands,by state.
Data from 13 states were collected.The MINITAB regression results are:
The regression equation is car-thf $= - 25.3 + 1.28$ police $+ 0.0188$ polexp $+ 0.0969$ registr
$\begin{array} { l l l c l } \text { Predictor } & \text { Coef } & \text { Stdev } & \text { t-ratio } & p \\ \text { Constant } & - 25.29 & 17.85 & - 1.42 & 0.190 \\ \text { police } & 1.2831 & 0.9275 & 1.38 & 0.200 \\ \text { polexp } & 0.018827 & 0.008460 & 2.23 & 0.053 \\ \text { registr } & 0.09686 & 0.03536 & 2.74 & 0.023 \end{array}$
$$s = ? ? \quad \mathrm { R } - s q = ? ? \% \quad \mathrm { R } - s q ( a d j ) = ? ? \%$$
Analysis of Variance
$\begin{array} { l l l l c l } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } & F & p \\ \text { Regression } & 3 & 33007 & 11002 & 107.14 & 0.000 \\ \text { Error } & 9 & 924 & 103 & & \\ \text { Total } & 12 & 33932 & & & \end{array}$
Correlation between the variables:
$\begin{array} { l c c c c } & \text { car-thf } & \text { police } & \text { polexp } & \text { registr } \\ \text { car-thf } & 1.000 & & & \\ \text { police } & 0.466 & 1.000 & & \\ \text { polexp } & 0.970 & 0.390 & 1.000 & \\ \text { registr } & 0.976 & 0.406 & 0.958 & 1.000 \end{array}$
-Test the significance of the regression equation at the 0.01 level of significance.
Test statistic = ____________________
Critical Value = ____________________
Conclusion: ____________________

---

Definitions:

Fund

A sum of money saved or made available for a particular purpose.

Net Incomes

The total earnings or profit of an individual or business after taxes and deductions have been accounted for.

Contributions

The act of giving or donating something, such as time, money, or resources, to a cause or purpose.

Sorority Sock Hop

A themed dance event traditionally organized by a sorority, often characterized by sock-wearing and nostalgia for 1950s music and dance styles.