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The following data are annual disposable income and total annual consumption for 12 families selected at a random from a large metropolitan area. Regard annual disposable income as the explanatory variable and total annual consumption as the dependent variable. From the regression of y on x, answer the questions that follow.

Annual Disposable                                            Total Annual

    Income ($) ( x)                                          Consumption ($) ( y)

        INC                                                                      CONS

      16,000                                                                  14,000

      30,000                                                                  24,545

      43,000                                                                  36,776

     70,000                                                                  63,254

      56,000                                                                  40,176

      50,000                                                                  49,548

      16,000                                                                  16,000

      26,000                                                                  22,386

      14,000                                                                  16,032

      12,000                                                                  12,000

      24,000                                                                  20,768

      30,000                                                                  34,780

Calculate the following:

a.1.  Slope ( b1)

2.. Y-Intercept (b0)

3. Cumulative Sum of Forecast Error (CFE)

4. Mean Square Error (MSE)

5. Standard Deviation

What is the sample regression equation relating sales to advertising?

If ADV increases by $ 1000, what would be the resulting change in your prediction of SALES?

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M93122591

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