Linear Regression Analysis & ANOVA
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Use ANOVA and REGRESSION for the following problems.
1. Divide your data in half, your first 8 observations and your last 7 observations. Then use ANOVA to test to see if there is a significant difference between the two halves of your data.
2. Take your data and arrange it in the order you collected it. Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N. Run a regression using your original set of data as your dependent variable, and your time series as an independent variable.
DATA:
DAY Number of Dirty Diapers
1 3
2 4
3 4
4 2
5 2
6 4
7 4
8 3
9 3
10 5
11 4
12 5
13 4
14 3
15 6
3+4+4+2+2+4+4+3+3+5+4+5+4+3+6 = 56 ÷ 15 = 3.73 which is the mean
2,2,3,3,3,3,4,4,4,4,4,4,5,5,6 Median is 4
4 is the mode because that is the number that is repeated most often.
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Solution Summary
When determining if a mathematical pattern can be applied to bivariate data, the technique of choice is regression analysis. This solution solves a problem, shows the resulting best curve fit graphically, and contains the related ANOVA table with pertinent statistics.
Solution Preview
The data was split per instructions and analyzed with regression. The first eight days appears under f. The last seven days appears under g. Here are the ANOVA tables for the two regressions.
The ...
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