Regression is a statistical technique used to model the relationship between variables, where one variable is dependent on the other independent variable. It can be used to predict the value of the dependent variable based on the independent variable. The document provides an example using sales data from multiple years to calculate the regression line and estimate sales for a new year. It also describes the services offered on the HelpWithAssignment website for statistics homework help.

1. Statistics at HelpWithAssignment.com (Regression) www.HelpWithAssignment.com

2. Regression is an important concept in Statistics. Regression is used to measure the relation between two or more variables where one is independent and the others are dependant variables. Regression can be used to predict the dependant variable when the independent variable is known. Regression www.HelpWithAssignment.com

3. We can see an example to understand regression clearly. Q: The regression line known as the least squares line is a plot of the expected value of the dependant variable of all values of the independent variable. In regression equation, y is always the dependant variable and x is always the independent variable. Regression www.HelpWithAssignment.com

4. The sales of a company (in million dollars) for each year are shown in the table below. a) Find the least square regression line y = ax + b. b) Use the least squares regression line as a model to estimate the sales of the company in 2012. Correlation Example Problem www.HelpWithAssignment.com

5. Sol: a) We first change the variable x into t such that t = x - 2005 and therefore t represents the number of years after 2005. Using t instead of x makes the numbers smaller and therefore manageable. The table of values becomes. Correlation Example Problem www.HelpWithAssignment.com

6. a) We first change the variable x into t such that t = x - 2005 and therefore t represents the number of years after 2005. Using t instead of x makes the numbers smaller and therefore manageable. The table of values becomes. Correlation Example Problem www.HelpWithAssignment.com

7. We now use the table to calculate a and b included in the least regression line formula. Correlation Example Problem www.HelpWithAssignment.com

8. We now calculate a and b using the least square regression formulas for a and b. Correlation Example Problem www.HelpWithAssignment.com

9. b = = = 11.6 In 2012, t = 2012 - 2005 = 7 The estimated sales in 2012 are: y = 8.4 × 7 + 11.6 = 70.4 million dollars. Correlation Example Problem www.HelpWithAssignment.com

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