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StatisticsUnderstanding Basic StatisticsEducation: Violent Crime The following data are based on information from the book Life in America's Small Cities (by G. S. Thomas, Prometheus Books). Let x be the percentage of 16- to 19-year-olds not in school and nothigh school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blythcville, El Dorado. Hot Springs, Jonesboro. Rogers, and Russellville) reported the following information about x and y: x 24.2 19.0 18.2 14.9 19.0 17.5 y 13.0 4.4 9.3 1.3 0.8 3.6 Complete parts (a) through (e). given Σ x = 112.8 , Σ y = 32.4 , Σ x 2 = 2167.14 , Σ y 2 = 290.14 , Σ x y = 665.03 , and r ≈ 0 .764 . (f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 24% in a similar city, what is the predicted rate of violent crimes per 1000 residents?BuyFind*arrow_forward*

8th Edition

Charles Henry Brase + 1 other

Publisher: Cengage Learning

ISBN: 9781337558075

Chapter 4.2, Problem 15P

Textbook Problem

**Education: Violent Crime** The following data are based on information from the book *Life in America's Small Cities* (by G. S. Thomas, Prometheus Books). Let *x* be the percentage of 16- to 19-year-olds not in school and nothigh school graduates. Let *y* be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blythcville, El Dorado. Hot Springs, Jonesboro. Rogers, and Russellville) reported the following information about *x* and *y:*

x |
24.2 | 19.0 | 18.2 | 14.9 | 19.0 | 17.5 |

y |
13.0 | 4.4 | 9.3 | 1.3 | 0.8 | 3.6 |

Complete parts (a) through (e). given

(f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 24% in a similar city, what is the predicted rate of violent crimes per 1000 residents?

Expert Solution

**(a)**

To determine

**To graph:** The scatter diagram.

**Given:** The data which consists of variables, ‘the percentage of 16 to 19 year olds not in school and not high school graduates’ and ‘the reported violent crimes per 1000 residents’, represented by *x* and *y*, respectively is provided.

**Graph:**

Follow the steps given below in Excel to obtain the scatter diagram of the data.

Step 1: Enter the data into Excel sheet. The screenshot is given below.

Step 2: Select the data and click on ‘Insert’. Go to charts and select the chart type ‘Scatter’...

Expert Solution

**(b)**

To determine

**To test:** Whether the provided values of

Expert Solution

**(c)**

To determine

**To find:** The values of *a*, *b* and the equation for the least-squares line.

Expert Solution

**(d)**

To determine

**To graph:** The least-squares line on the scatter diagram which passes through the point

Expert Solution

**(e)**

To determine

The value of

Expert Solution

**(f)**

To determine

**To find:** The predicted rate of violent crimes per 1000 residents.

Understanding Basic Statistics

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