Reference no: EM132400083
Math 227 Project - Exploring relationships between two variables
In this project, you will search two quantitative variables that may have a linear correlation. You will describe and analyze the relationship between the variables the way it is explained in Chapter 4 (4.1-4.2). You will, then, create a written report including all 4 parts below and turn in by the stated due date according to the guidelines provided in this paper.
Required components:
1. Understand the Problem
a) Search for two quantitative variables that may have a linear correlation from the internet or any other media.
b) Use your intuition and/or experience to predict and write down the descriptions of the possible relationship: Form, Direction, Strength, and outlier, etc.
c) Develop a question that address a possible linear correlation between two variables.
State the question(s): Identify two variables from the data that are relevant to answer the questions.
2. Analyze the paired Data
a) What is the likely explanatory variable in the paired data?
b) Draw a scatter diagram of the data. Does the graph show a linear relationship between the variables?
Comment on the direction and strength appeared on the scatter diagram.
c) Compute the linear correlation coefficient between the two variables and interpret the meaning specifically for your data. Use the list of critical values (see below) to determine whether you have enough data to make any claims based on the coefficient obtained. If not, then you may want to consider collecting more data.
d) Find the least-squares regression line.
e) Interpret the slope and y-intercept, if appropriate.
f) Use the equation of the least-squares regression line to predict the outcome (y-value) for all of the x-values in your data, and put these in a separate column in your table.
g) Find the residuals. Explain what it means when a residual is positive or negative. Identify cases with very high or very low residuals (dots that lie far away from the regression line) and discuss why these may have such extreme residuals.
h) Put all the data (explanatory variable , response variable , predictions , and residuals ) in a separate table, and include it with your project.
3. Draw Conclusions
a) What do the results indicate about the relationship between two variables?
b) Do you think there is a causal relation between the variables? Explain.
c) Relate the comments you made in step 1b before analyzing the data by commenting on both of the following:
How your expectation differs (or do not differ) from the actual results?
If it is relevant or meaningful in context, think of a way that these results could be used in practice.
4. Summarize
Write a short summary of the main findings that you discovered.
Grades will be based on:
1. Explanation of your topic and appropriate responses in step 1 Understanding the problem.
2. Relevance and completeness of the analysis of the data including appropriate responses in step 2 Analyze the paired Data.
3. Completeness and appropriateness of drawing conclusions in step 3 Draw conclusions.
4. Clear summary of the main findings in step 4 Summarize, and
5. Overall quality of the report and adherence of the project guidelines.
Attachment:- Assignment File.rar