Calculate the sample mean and standard deviation for X (the exchange rate) and Y (sales). Calculate the sample covariance between the exchange rate and sales. Calculate the sample correlation between the exchange rate and sales. Calculate the intercept and coefficient for an estimated linear regression with the

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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bouvier co. is a canadian company that sells forestry products to several Pacific rim customers. bouvier’s sales are very sensitive to exchange rates. The following table shows recent annual sales (in millions of canadian dollars) and the average exchange rate for the year (expressed as the units of foreign currency needed to buy one canadian dollar).

year i

1 2 3 4 5 6

exchange rate Xi

Sales Yi

0.40        20 0.36  25 0.42  16 0.31  30 0.33  35 0.34  30

  1. Calculate the sample mean and standard deviation for X (the exchange rate) and Y (sales).
  2. Calculate the sample covariance between the exchange rate and sales.
  3. Calculate the sample correlation between the exchange rate and sales.
  4. Calculate the intercept and coefficient for an estimated linear regression with the

exchange rate as the independent variable and sales as the dependent variable.

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