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

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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

                                                                             

Correlation(Part 2)-Do a Hypothesis Test  for the Correlation Coefficient ,r, that you calculated in the previous HW problem, Correlation(Part 1) .

Assume that you want to test for a positive correlation. Let α,your level of significance ,be .05.The number of observations, n, is 10.Use n-2 degrees of freedom. Do you reject or do not reject H0 ?

 

 

You need to do the 6 steps for the Neyman-Pearson critical value test.You do not need to do a Fisher p-value test for the correlation coefficient ,r.

 

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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