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Linear Regression Problem

1. The quick sell dealership started an ad campaign. During a 10 week campaign the dealer kept the following records:

# of adds per week (x) 6 20 0 14 25 16 28 18 10 8
# of cars sold per week (y) 15 31 10 T 28 20 40 25 12 15

(i) Given the covariance is 76.5 and the S(y) = 9.58, calculate the product moment correlation (r), correct to two decimal places.

(ii) Use your result to comment on the statement : The more ads posted, the more cars sold.

(iii) Given that the mean of y is 21.20, find the equation of the line of y on X.

Using the least squares regression line to predict the following:

(iv) Calculate the # of cards sold if 14 ads per week were published.

Linear Regression Solution

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