The following consumption figures for a product (Y in tons) and its price per ton (X in ) for a period of 10 years are given, as shown in the table below

a)estimate the linear equation of consumption of the product. b)estimate the quantity of the product that on average is expected to be consumed in case of setting the price of the product to 520 and to determine the confidence interval at significance level = 0.05 for the population slope 1. c)Check at the 5% level whether the coefficients of this equation are statistically significant. d) What is the price elasticity of demand?

\begin{tabular}{|c||c|c|c|c|c|c|c|c|c|c|} \hline YEARS & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline X & 120 & 160 & 180 & 200 & 260 & 280 & 320 & 370 & 420 & 480 \\ \hline Y & 840 & 860 & 800 & 700 & 720 & 660 & 620 & 650 & 600 & 630 \\ \hline \end{tabular}