Regression (Part I)-You are again given the same 10 observations that you were provided with in the Correlation problem. However,you are now asked to derive the regression line, y’= a+bX for the data below. After you have

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Regression (Part I)-You are again given the same 10 observations that you were provided with in the Correlation problem. However,you are now asked to derive the regression line, y’= a+bX for the data below. After you have calculated the regression equation, explain to me how you could use it.

                                    

                               X (Independent Variable)                             Y (Dependent variable)

Month   Advertising Expenditure (in Millions of $)   Sales Revenue (in Millions of $)      

March                                       20                                                              30

April                                          40                                                              60

May                                          20                                                               40                                                        

June                                          30                                                               60

July                                           10                                                               30

August                                     10                                                                40

September                              20                                                                40

October                                   20                                                                50

November                               20                                                                30

December                               30                                                                 70

 

Regression (Part 2)-Calculating the Standard Error of the Estimate-Sy.x . You will be using the same summation data that you used to derive the equation of the regression line,Y’=a +bX,in Regression (Part I)

 

After you have calculated the Standard Error of the Estimate,Sy.x,tell me what the number you have obtained means.

 

Regression (Part 3)-Calculating a Prediction Interval for a particular value of X

 

In this problem, you will be using the results of Part I and Part II, which were Y’ =a+bX and Sy.x  ,to compute a prediction interval value for a particular value of X. Use X=25 as the particular value of X.

                                                                             

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