Regression and Correlation Analysis

Part 1

Generate a scatterplot for the specified dependent variable (Y) and the X1 independent variable, including the graph of the "best fit" line. Interpret.

Part 2

Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.

Part 3

Determine the coefficient of correlation. Interpret.

Part 4

Determine the coefficient of determination. Interpret.

Part 5

Test the utility of this regression model. Interpret results, including the p-value.

Part 6

Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.

Part 7

Compute the confidence interval for β1 (the population slope) using a 95% confidence level. Interpret this interval.

Part 8

Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.

Part 9

Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.

Part10

What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

Part 11

Describe a business decision that could be made based on the results of this analysis. In other words, how might the business operations change based on these statistical results.