Violent Crimes The number of all violent crimes (murder,...

Violent Crimes The number of all violent crimes (murder, nonnegligent homicide, manslaughter, forcible rape, robbery, and aggravated assault) in the United States for each of these years is listed below. Represent the data with a time series graph. $$ \begin{array}{lllllll}{2000} & {1,425,486} & {2004} & {1,360,088} & {2008} & {1,394,461} \\ {2001} & {1,439,480} & {2005} & {1,390,745} & {2009} & {1,325,896} \\ {2002} & {1,423,677} & {2006} & {1,435,123} & {2010} & {1,246,248} \\ {2003} & {1,383,676} & {2007} & {1,422,970}\end{array} $$

Violent Crimes The number of all violent crimes (murder, nonnegligent homicide, manslaughter, forcible rape, robbery, and aggravated assault) in the United States for each of these years is listed below. Represent the data with a time series graph.
$$
\begin{array}{lllllll}{2000} & {1,425,486} & {2004} & {1,360,088} & {2008} & {1,394,461} \\ {2001} & {1,439,480} & {2005} & {1,390,745} & {2009} & {1,325,896} \\ {2002} & {1,423,677} & {2006} & {1,435,123} & {2010} & {1,246,248} \\ {2003} & {1,383,676} & {2007} & {1,422,970}\end{array}
$$

Key Concepts

Trend Analysis

Trend analysis is the evaluation of data over time to identify consistent patterns or trends. It helps in understanding the direction of change in a dataset, whether it is increasing, decreasing, or remaining stable. This analysis is essential for making informed decisions based on historical data patterns.

Data Visualization

Data visualization involves the graphical representation of information and data. By converting numerical data into a visual context such as a chart or graph, it becomes easier to identify patterns, trends, and outliers. This approach is crucial for communicating complex information clearly and efficiently.

Time Series Graph

A time series graph is a type of chart used to display data points in chronological order. In such a graph, time is represented on the horizontal axis while the variable being measured is plotted on the vertical axis. This format is especially useful for visualizing trends, patterns, and fluctuations over time, allowing for comparisons between different time intervals.

Transcript

00:01 Hi, this question asks us to draw a time series graph for the number of crimes things happen in the united states this year, starting from 2000 to 2010, which i denoted as zero and 10 here for simplicity.

00:21 Well, in order to make the numbers look clearer, i already write them down here.

00:27 And roughly by roughly looking at it we can see that and it has a trend of moving down and then move up and then move down again well and so let's draw a time serious graph to see if that is tracked and as we know the x -axis must be the year starting from 2000 to 2010 and the y axis is a number of crime scenes happened with respect to these years and we know the number of crimes are all one million about one million but smaller than two million so for why access let's just use per million to avoid big numbers so here one here is for one million one point five million and so on and for example for this point it is one point 1 .9 million.

01:28 Okay, let's first look at 2000.

01:31 It has 1 .42 million approximately.

01:35 So this point is 1 .4 million.

01:37 Well, for 1 .42, it is slightly higher than 1 .4 million.

01:44 So it is like this.

01:46 Oh, oops.

01:48 It is supposed to be a point right here.

01:53 Okay.

01:54 Let's move on to the next year.

01:56 It is slightly higher.

01:58 Than the previous year.

02:00 So let's draw the second year at this point, slightly higher.