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. 1842 1790 1886 1903 1819 1880 1851 Y 4500 8600 2100 1900...

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. Answer the following questions below using evidence.

Extracted text: 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. 1842 1790 1886 1903 1819 1880 1851 Y 4500 8600 2100 1900 7500 1600 4900 a) Find the correlation coefficient (round to four decimal places) between year of construction anc price sold at auction and then interpret the direction and strength of the correlation. b) Find the Least-Squares Regression Line (round to four decimal places throughout.) c) Predict the price sold at auction of a dresser made in 1865 (round to the nearest dollar.) d) 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)?