# Statistics

Instructions:

For this discussion, you are to use the following website:  https://www.census.gov/acs/www/data/data-tables-and-tools/data-profiles/2017/ (Links to an external site.)

· On the landing page, type in the name of your state, and then the name of your city or place.

· Click on “Get Data Profile”.

· On the new page, you will see links to 4 sets of information on your area:

· Social

· Education

· Housing

· Demographic

· Choose any two variables you think might be related and find them by using the links to the related set.  In the tables, locate the variables you chose to work with. For example, you could use the number of rooms (in a house) under Housing and household incomes and benefits under Economy.

· Find the values for each of your two variables for several years. For example, you might use the number of rooms and household income for the years 2012- 2017.

· Use Excel to make a scatterplot and to find the correlation coefficient. You should then have 6 points on the scatterplot, one for each year.

· Why did you think a relationship exists between the two variables you chose?

· Based on the Excel scatterplot and output

· State what type of relationship exists:  Negative, positive, or none.

· Describe the relationship in words including what happens to one as the other changes. For example, as the number of rooms in a house increases, does the family income increase as well?

· Does the statistical information you obtained support or refute your alternative hypothesis that a relationship exists?

· How?

· If you did not find a relationship, why do you think that is?

· What is the value to knowing there is a correlation between the variables? For example, what businesses might flourish in a wealthy area?

· Would another variable better explain the relationship?

· How might the city use such information to make improvements?  For example, if you found a relationship between crime and poverty would it make sense to make addressing poverty a priority?

· Can you conclude that one variable is causing the other? Why or why not?

Please be sure to validate your opinions and ideas with citations and references in APA format.

Response:

Instructions:

Please respond to a minimum of two peers. Include in your response:

· Do you agree with the relationship as described by your peer?

· Can you think of other variables that might help explain the relationship between the two variables they chose?

· If no relationship was found, can you offer any reasons why not?

· Was the correlation they computed strong enough to use to predict one variable from the other?

Please be sure to validate your opinions and ideas with citations and references in APA format.

Assignment

Instructions

In this lesson, you will run a correlation between the resting and after exercising heart rates to determine if a linear relationship exists between the two variables and how strong the relationship is.

Steps

1. Open the Heart Rate Dataset in Excel and identify the X-variable (resting heart rates for all 200 participants) and the Y-variable (after exercise heart rates for all 200 participants).

2. Use the Scatter Plot function in the Insert Charts section of Excel to create a scatter plot of the X and Y variables

3. Add a trendline to the scatter plot

4. Use the Data Analysis tools in Excel to find the regression equation.

5. In a Word document, describe the relationship between the X-variable (resting heart rate)and the Y-variable (after exercise heart rate).

· Graph the scatter plot with a trend line. Does it appear there is a linear relationship?  What does this mean?

· Calculate the correlation coefficient r using excel. Is this r (value) high compared to +1?  Based on the correlation coefficient is the relationship strong?

· Use excel to find the regression equation. Identify the slope.  What does it tell us in terms of our heart rate data?

Review these videos as needed to complete this assignment.

Creating an XY Scatter Plot in Excel

There is a vedio.

Creating an XY Scatter Plot in Excel

(Vertex42, 2017) Estimated time to complete: 6 minutes

Using Excel to Calculate a Correlation Coefficient

Directions: This video does a very good job explaining correlations as well as how to produce the correlation coefficient in Excel.

Using Excel to calculate a correlation coefficient || interpret relationship between variables.

(Matt Macarty, 2016) Estimated time to complete: 6 minutes

Your assignment should be typed into a Word or other word processing document, formatted in APA style. The assignments must include