Calculate the value of the correlation coefficient


A manager wishes to find out whether there is a relationship between the number of radio ads aired per week and the amount of sales (in thousands of dollars) of a product. The data for the sample are shown below.

Number of ads x 2 5 8 8 10 12
Sales y 2 4 7 6 9 10

a. Draw the scatter plot for the variables.

b. Compute the value of the correlation coefficient.

c. State the hypotheses.

d. Test the significance of the correlation coefficient at a = 0.05.

e. Give a brief explanation of the type of relationship.

f. Find the equation of the regression line.

g. Find y' when x=7 ads.

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Basic Statistics: Calculate the value of the correlation coefficient
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