MAT 106 Entire Course New

Question 1

MAT 106 Module 3 Assignment 2 LASA 1 Linear Regression NEW

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MAT 106 Module 3 Assignment 2 LASA 1 Linear Regression NEW

In this assignment, you will use a spreadsheet to examine pairs of variables, using the method of linear regression, to determine if there is any correlation between the variables. Afterwards, you will postulate whether this correlation reveals a causal relationship (and why).

Click here to open the Excel spreadsheet containing the data for this assignment.

This spreadsheet contains the data from a study that attempted to see if there is a correlation between the hours that students studied and the grade that they earned on a test. The correlation test you are about to run will help you to determine if there is, in fact, a correlation between study time and test score. If you find a strong correlation, then you will postulate whether you feel this indicates a causal relationship.

Below are instructions on how to perform this correlation test in Microsoft Excel.

In the Excel spreadsheet, perform the following operations:

1. Save the spreadsheet to your computer.
2. With your mouse, highlight all of the data on the spreadsheet in columns A and B.
3. In the tabs at the top of the page, click Insert.
4. In the Insert ribbon, in the Charts section, click Scatter. Be sure to select the option where it will just plot dots, it will be called Scatter with only Markers. If you do this right, then you’ll see a chart on the page.
5. Now, on the chart, right-click on one of the data points (dots). Just pick a dot somewhere near the middle of the distribution.
6. Select Add Trendline from the drop-down menu that appears when you right-click on a dot.
7. A new menu will appear. Select Linear, select Automatic, and click the boxes next to Display Equation on chart and Display r-squared value on chart.
8. Click Close.
9. Now, you should see a line drawn through the dots. It will roughly cut through the middle of the dot distribution.
10. You’ll also see the linear regression equation and r2 value displayed next to the line.

Answer 1

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Question 2

MAT 106 Module 5 Assignment 1 LASA 2 Exponential Growth NEW

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MAT 106 Module 5 Assignment 1 LASA 2 Exponential Growth NEW

In Module 4, you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number e lecture. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

Click here to open the Microsoft Excel spreadsheet that you will use to perform the calculations for this assignment.

In the spreadsheet, perform the following operations:

1. Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
2. Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
3. Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
4. Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
5. When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
6. Right click on the middle point for one of the series.
7. Click on add trendline.
8. Under Trendline Options, select Exponential.
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Answer 2

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