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MATH 534 Week 7 Course Project Part C: Regression and Correlation Analysis
Running head: COURSE PROJECT: PART C
Course Project: Part C
MATH 534 : Applied Managerial Statistics
Keller Graduate School of Management
Regression and Correlation Analysis
COURSE PROJECT: PART C
1. Generate a scatterplot for the specified dependent variable (Y) and the X1 independent
variable, including the graph of the "best fit" line. Interpret.
Fitted Plot Line
According to the Graph the linear relationship there is a positive relationship between
Sales and calls. If number of calls increases the sales also increase and the same if sales increases
the calls increases.
COURSE PROJECT: PART C
2. Determine the equation of the "best fit" line, which describes the relationship between the
dependent variable and the selected independent variable.
y = 0.0707x + 31.2
3. Determine the coefficient of correlation. Interpret.
The correlation coefficient between sales and calls is calculated as 0.268711. This is a moderate
positive correlation between number of calls and number of sales. P Value = 0.000
4. Determine the coefficient of determination. Interpret.
It is more commonly known as R squared value. It measures how close the data points
are to the line. The coefficient of determination .0722. 7.2% of the variations can be
explained by knowing the number of calls made.
Adjusted R Square
5. Test the utility of this regression model. Interpret results, including the p-value.
H0: (Null Hypothesis) – There is not significant correlation
H1: (Alternate Hypothesis)- There is correlation either negative or positive.
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