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c. A marketing firm wishes to determine whether or not the number of television commercials broadcast were linearly correlated to the sales of its products. The data obtained from each of the several cities are shown in the table below.
City A B C D E F G H I J
No. of TV Commercial (X) 12 6 9 15 11 15 8 16 12 6
Sales unit (Y ) 7 5 10 14 12 9 6 11 11 8
i. Determine the Pearson’s product moment correlation coefficient. (6 marks)
ii. Determine the regression equation of sales units on the number of TV commercials. [8 marks)

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Using technology, the correlation Coefficient and the regression equation whigh models the relationship are ;

  • R = 0.661
  • y = 0.51x + 3.71

Given the data :

  • x : 12 _ 6 _ 9 _ 15 _ 11 _ 15 _ 8 _ 16 _ 12 _ 6
  • y : 7 _ 5 _ 10 _ 14_ 12 _ 9 _ 6 _ 11 _ 11 _ 8

Using technology such as regression calculator or excel :

  • y = bx + c

The regression model is :

Ŷ = 3.71 + 0.51x

  • Slope, b = 0.51
  • Intercept, c = 3.71

The correlation Coefficient, R = 0.661 ; this shows that there is a fairly strong positive relationship between number of TV commercials and Sales unit

Learn more : https://brainly.com/question/25694755

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