Linear Regression

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LinearRegressionWEEK7QUIZhomework.xlsx

Calculaiton

Week Old process Old Calculations Week New process New Calculation
1 Slope ERROR:#DIV/0! 1 Slope ERROR:#DIV/0!
2 Intercept ERROR:#DIV/0! 2 Intercept ERROR:#DIV/0!
3 correlation coefficient (r) ERROR:#DIV/0! 3 correlation coefficient (r) ERROR:#DIV/0!
4 coefficient of determination (r^2) ERROR:#DIV/0! 4 coefficient of determination (r^2) ERROR:#DIV/0!
5 Average ERROR:#DIV/0! 5 Average ERROR:#DIV/0!
6 Lineat Regression Y=b+mx 6 Linear Regression Y=b+mx
7 7
8 8
9 9
10 10
11 11
12 12
EXAMPLE ON HOW TO INTERPRET RESULTS
Interpretations These are for the new process
For every increase of one unit there is a decrease of 1.12 in predicted y
When there is an absence of x values the predicted y value is 56.0
There is a negative and weak association between the variables
11.2% of the variability present in predicted y can be explained by variability present in
the model. Another interpretation ends with th phrase: variability present in x.
In this example the equation for the LSRL is : y = -1.12x + 56.0

Old Process

Old process

New Process

New process