Vehicle Type/Class (Qualitative) Year (Quantitative) Make (Qualitative) Model (Qualitative) Price (Quantitative) MPG (city) (Quantitative) MPG (highway) (Quantitative) Sports Car 2021 Aston Martin V8 VantageRoadster $214,320 18 Miles 24 Miles Sports Car 2020 Lamborghini Huracan EVO $294,840.00 13 Miles 18 Miles Sports Car 2020 Ferrari 488 Pista Spider $699,950.00 15 Miles 19 Miles SVU 2021 GMC Yukon Denali $81,825.00 14 Miles 19 Miles SVU 2021 Cadillac Escalade Sport $99,015.00 14 Miles 19 Miles SVU 2018 Mercedes-Benz GLE 43 AMG 4MATIC Coupe $67,777.00 17 Miles 22 Miles Sedan 2021 Lexus ES 250 $45,430.00 25 Miles 34 Miles Sedan 2018 Honda Accord $21,987.00 30 Miles 38 Miles Sedan 2020 Audi A8 L 3.0T $99,245.00 17 Miles 26 Miles 2021 Bentley Bentayga $205,999.00 15 Miles 24 Miles

Image source: miro. medium

Look back to the raw data you collected in week 1.

There are 7 variables listed:Vehicle type/class

Year

Make

Model

Price

MPG (city)

MPG (highway)

Choose TWO variables that you feel are correlated and explain why you feel that they are correlated.

Do you suspect the relation is positive or negative?

Why?

Which would be considered the independent variable, which the dependent variable?

Why?

Run a regression analysis in Exceland provide the results in your post along with your raw data.

Looking at theR²value, explain what this indicates about the strength of the relation.

Then write out your Regression Equation, state if your p-value, and conclusion.

I encourage you to review theWeek 7 Regression PDFat the bottom of the discussions.

This will give you a step-by-step example of how to calculate a correlation and run a Regressionusing Excel.

I DO NOT recommend doing this by hand.

Let Excel do the heavy lifting for you.

You can also use this PDF in the Quizzes section.

There are additional PDFs that were created to help you with the Homework, Lessons, and Tests in the Quizzes section.

I encourage you to review these ASAP!

These PDFs are also located at the bottom of the discussion.

Once you have posted your initial discussion, you must reply to at least two other learner's post.

Each post must be a different topic.

So, you will have your initial post from one topic, your first follow-up post from a different topic, and your second follow-up post from one of the other topics.

Of course, you are more than welcome to respond to more than two learners.

Instructions:Make sure you include your data set in your initial post as well.

Youmust alsorespond to at least 2 other students.

Peer response #1- Looking at your peer's Excel output and the Regression Equation they wrote out, interpret the slope of their Regression Equation.

Use their Regression Equationto make a prediction and show the work for your predicted value based on your expression.

For example, if your peer used Year to predict Price, plug in a Year value into the regression equation and use it to predict the price of a vehicle.

Does this predicted Price value make sense with their data?

Peer response #2- It is important to remember that typically a two-factor regression model cannot accurately describe the entire situation.

Look at the dependent variable that your peer chose.

Name at least 2 independent factors you would use to run a Multiple Linear Regression (MLR)and explain why you feel they are related.

Then use those factors to run a Multiple Linear Regression (MLR) on your peer's data and see if thevariables you chose are related to the dependent variable they chose.

What is your MLR equation?

Is your MLR significant?

Are any of the Independent factors significant?

What is theR²value?

Explain and interpret this value and how it relates to the MLR.

Make sure you include your MLR Excel output as an attachment in your response post.

Week 7 Regression.pdf

Week 7 Multiple Linear Regession.pdf

Week 7 Regression Prediction Interval.pdf

Week 7 Regression Testing the Hypothesis.pdf