Question
Kim is the manager of a bridal wear store. Lately she has wondered whether the costs involved in advertising are necessary for the success of
Kim is the manager of a bridal wear store. Lately she has wondered whether the costs involved in advertising are necessary for the success of the store. She wants to analyse the relationship between the monthly number of TV commercials shown advertising the store (x) and the store's monthly sales (y) in dollars (000's). The data obtained is shown below:
Number of Commercials (x) | 5 | 13 | 7 | 15 | 18 | 4 | 22 |
Sales (y) | 32 | 47 | 42 | 60 | 72 | 35 | 76 |
Calculate the mean of number of commercials (x).
Calculate the mean of sales (y).
Calculate the standard deviation of the number of commercials (x).
Calculate the standard deviation of the sales (y)
Calculate the covariance betweenthe number of commercials (x) and the sales (y).
Calculate the coefficient of correlation between thenumber of commercials (x) and the sales (y).
What does the covariance and coefficient of correlation tell you about the relationship between number of commercials and sales?
Calculate the coefficient of determination (R2) and interpret the answer.
Calculate the coefficients (1 and 0).(4 marks)
Once calculated, state the least square regression line (model)
Interpret what the values obtained for 1and 0tell you.
Based on the estimated regression model, if the number of commercials (x) is 10, what will be the sales (y)?
Based on your findings,should Kim continue to pay for TV commercials advertising the store? Explain your answer
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