Question: Linear Modeling Find a unique set of linear data, create a scatterplot of the data, apply curve-fitting techniques to find a linear model of the

Linear Modeling Find a unique set of linear data, create a scatterplot of the data, apply curve-fitting techniques to find a linear model of the data, assess the fit of this linear model to the data and interpret the results. (1) Find a unique set of Linear Data .... describe the topic, provide a table or list of data (at least 8 data points), and cite any sources for the data. The data must be unique. (2) Create a Scatterplot of the data .... This can be done using EXCEL, another graphing program (i.e., http://www.mathcracker.com/scatter_plot.php). A typical X-Y graph of (x,y) data points. Choose the X and Y axis and label the axes. The data should have some linear trend. The data should appear to have an upward or downward trend that could be estimated with a line. (3) Apply curve-fitting techniques to find a Linear Model ... Find the equation of a line that best fits the data. This is called a "Regression Line" and in the form of a typical linear equation: Y = mX+b, where m=slope and b=y-intercept. State the linear model equation and discuss the meaning of its slope in a sentence or two. Use EXCEL for this step, or one of many online "linear regression" or "simple regression" tools. Example ... http://people.hofstra.edu/Stefan_Waner/newgraph/regressionframes.html (4) Find the Correlation Coefficient ... Assess the fit of the linear model to the data by finding the "Correlation Coefficient", or "r". In most of the linear regression tools (EXCEL or online) you will find that they give you the r2 or r correlation results. Discuss the findings in a few sentences. Is the Correlation Coefficient (r) positive or negative? Is the linear relationship very strong, moderately strong, weak, or nonexistent? A set of data with a positive slope will have a positive correlation coefficient and a set of data with a negative slope will have a negative correlation coefficient. Check Examples of "strong" linear relationships and "poor" or "weak" linear relationships on the internet. A few examples are shown below. The closer "r" is to 1.0 or -1.0, the better the linear relationship. Submit work in WORD format. Project report should be about 1-2 pages and include the sections (1 to 4) listed above

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

In this project you will make a linear model (function equation) that describes possible trends in July high temperatures for a city in the United States. The project will consist of five parts:...

Defining the Problem For part 1 of the assignment, you must choose a problem that interests you and requires the organization and analysis of data that you can either collect yourself or find in an...

Curve-fitting Project - Linear Model (due at the end of Week 5) Instructions For this assignment, collect data exhibiting a relatively linear trend, find the line of best fit, plot the data and the...

Jupiter Notebook We have covered some of the limitations of single layer neural networks in class, but they are still powerful learning systems that provide a good way to begin learning about how to...

An Investigation into obesity rates Researchers have been interested in studying the obesity trends worldwide over the past 25 years. In 2014 the World Health Organization (WHO) declared there were....

1 2 3 4 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 28 29 30 31 38 40 41 44 47 48 49 50 51 62 63 64 66 67 68 69 70 71 73 74 76 77 78 79 80 81 82 85 86 87 88 89 90 91 92 93 94 95 99 100 101 104 105...

Ashford 5: - Week 4 - Assignment Principles of Effective Intervention There are four general principles of effective intervention that have become organizing concepts of community corrections. They...

PLEASE TYPE SOLUTION AND ANSWER. NO HANDWRITTEN. In this discussion, you will apply the statistical concepts and techniques covered in this week's reading about correlation coefficient and simple...

Explain why companies depreciate their property, plant, and equipment.

Assume that the firm is expecting to have the following quarterly unit sales with a price of P85: 5,000 Second Quarter 5,500 Third Quarter First Quarter 6,000 Fourth Quarter 6,500 50% of which are...

Which of the following statements is NOT accurate? a . Home office expenses cannot create a loss on Schedule C . b . Taxpayers can carry fonward disallowed home office expenses and use them in fuoure...

Nelson Corporation mistaken recorded a $200,000 purchase of land in 2014 by incorrectly debiting the Landscaping Expense account in 2014. This error is discovered in 2016. This error is corrected by:...