# Graphs, Regression Analysis, Hypothesis Tests

See the attached data.

Below is a breakdown of what exactly to use:

-One set of bivariate data -we will be using the original cost of the vehicle compared to the current value.

-Two or more set from different population- We select population of males and females and plan to use these two population to determine who spends more their car.

-a paired set of data for hypothesis test- for this we plan on using the current value of the vehicle compared to the amount spent on up keep to determine if the cars value is impacted by up keep costs.

PROJECT:

Prepare an analysis and presentation on the topic, "Men Spend More Money Purchasing Vehicles Than Women". The data will be fictious.

2. Gather or create data. If you "invent" the data, please footnote that fact and in your paper describe a method that would have been used to gather the data. If you find data, then document your source and indicate the sampling method and whether your sample was random or not. Either way, your data sets will need to be related to your topic and included in your appendix.

You will need a minimum of three data sets with at least 30 values in each, but you may use more as needed to complete the requirements.

You will need several different sets of data, all numeric.

-One set of bivariate data (two pieces of data taken from each unit in the sample) that is appropriate for a linear regression. There are several options for this data. This could be a trend line with one data set on a time interval axis. This could be two different but related variables, like a person's height and weight. This could be "before" and "after" data.

-Two or more sets of data that are from different populations. This data will be used in the hypothesis test of independent means to determine if the means are equal.

-A paired set of data that can be used in a "paired" hypothesis test.

-All data sets must be included in an appendix of the document.

3. For the bivariate data:

Determine which is the independent and which is the dependent variable.

Create a scatter diagram.

Determine the coefficient of correlation and interpret it.

Determine the equation of the regression line and explain.

Interpret each value in the regression equation and explain how the equation and line are related.

Graph the regression line on a scatter diagram.

Make a prediction for some value within the x-range and explain the meaning and the reliability of the prediction.

From your data set determine the point with the largest residual and explain its interpretation.

4. For the two (or more) sets of data from different populations:

Perform a hypothesis test for the difference of two independent means or an ANOVA.

Remember to show all steps including the statements of the hypotheses, conditions, computational results, decisions, and interpretation. These should be in paragraph form, not numbered.

Remember to show all steps.

5. For the paired data:

Perform a hypothesis test for the difference of two means.

Remember to show all steps and to explain and give an interpretation of the result.

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#### Solution Preview

The text below is also attached as a Word document and as a pdf.

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Below is a breakdown of what exactly to use:   

-One set of bivariate data - we will be using the original cost of the vehicle compared to the current value.

-Two or more set from different population - We select population of males and females and plan to use these two populations to determine who spends more their car.   

-A paired set of data for hypothesis test - for this we plan on using the current value of the vehicle compared to the amount spent on up keep to determine if the cars value is impacted by up keep costs.    

PROJECT:   Prepare an analysis and presentation on the topic, "Men Spend More Money Purchasing Vehicles Than Women". The data will be fictitious.   

2. Gather or create data. If you "invent" the data, please footnote that fact and in your paper describe a method that would have been used to gather the data. If you find data, then document your source and indicate the sampling method and whether your sample was random or not. Either way, your data sets will need to be related to your topic and included in your appendix.   You will need a minimum of three data sets with at least 30 values in each, but you may use more as needed to complete the requirements. You will need several different sets of data, all numeric.   

I'm using the data that you provided in the Excel file. Most of the data look good and appropriate for these tests. However, I think that the data you've chosen for the third hypothesis test would be more appropriate for a regression analysis (bivariate data). The way you have it set up now, you'd be comparing the average amount of money spent on upkeep to the average value of the car. Instead, I think that we should compare the original cost to the current value. If you disagree, you can re-do the analyses with your original data, following the steps I show below, or ask me to re-do it.

* One set of bivariate data (two pieces of data taken from each unit in the sample) that is appropriate for a linear regression. There are several options for this data. This could be a trend line with one data set on a time interval axis. This could be two different but related variables, like a person's height and weight. This could be "before" and "after" data.   

* Two or more sets of data that are from different populations. This data will be used in the hypothesis test of independent means to determine if the means are equal. ...