Correlation and Regression analysis

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$).$

a$.$ Calculate the sample mean and standard deviation for $x($the exchange rate$)$ and $Y($sales$).$

b$.$ Calculate the sample covariance between the exchange rate and sales.

c$.$ Calculate the sample correlation between the exchange rate and sales.

d$.$ Calculate the intercept and coefficient for an estimated linear regression with the exchange

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

e$.$ Calculate the standard error of estimate $($SEE$).$

f$.$ Calculate the coefficient of determination $(R^2).$