The American Community Survey collects important US population information between census years. In addition to counting the population this data also includes the mean travel time to work for each state. Below, for the Mountain States, you will find data from the 2018 survey. State Mean Travel Time to Work (minutes) Population Density (per square mile) Arizona 25.5 64 Colorado 26 56 Idaho 21 22 Montana 18.5 7 Nevada 15 28 New Mexico 23 17 Utah 22 39 Wyoming 16 6 Use this data to create a scatterplot on the graph paper. Is there correlation in the data? If so, is it a positive or negative correlation? Is the correlation strong, moderate, or weak?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The American Community Survey collects important US population information between census years. In addition to counting the population this data also includes the mean travel time to work for each state. Below, for the Mountain States, you will find data from the 2018 survey.
|
State |
Mean Travel Time to Work (minutes) |
Population Density (per square mile) |
|
Arizona |
25.5 |
64 |
|
Colorado |
26 |
56 |
|
Idaho |
21 |
22 |
|
Montana |
18.5 |
7 |
|
Nevada |
15 |
28 |
|
New Mexico |
23 |
17 |
|
Utah |
22 |
39 |
|
Wyoming |
16 |
6 |
- Use this data to create a
scatterplot on the graph paper. - Is there
correlation in the data? If so, is it a positive ornegative correlation ? Is the correlation strong, moderate, or weak?
- Using a well-written sentence, clearly explain any conclusions you can draw about the relationship between these two variables based on the scatterplot. Discuss the variables, not the graph.
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