Below is bivariate data on vintage dresser auctions, where X is the year of construction of the dresser and Y is the price sold at auction.

X
1842
1790
1886
1903
1819
1880
1851

Y
4500
8600
2100
1900
7500
1600
4900

Find the correlation coefficient (round to four decimal places) between year of
construction and price sold at auction and then interpret the direction and strength of the correlation.

1. Find the Least-Squares Regression Line (round to four decimal places
throughout.)

2. Predict the price sold at auction of a dresser made in 1865 (round to the
nearest dollar.)

3. If a pair of dressers differ by 30 years in year of construction, by how much would we predict their prices at auction to differ (round to nearest dollar)?