Please help with the following statistics question:

The Federal Reserve Bank of St. Louis provides data on the price of minerals monthly. The table below is prices for minerals over five randomly-selected months. Aluminum (cents/ pound) Gold ($/ ounce) 81 360 77.5 424 76 375 76 460 71 612 (a) Regress the price of aluminum on the price of gold. Find the least squares line. (b) Test whether this model is significant for predicting price of aluminum using the test of slope at the 5% level. Please write down (1) standard deviation of error term, [2) the value of test statistics, (3) critical values and (4) make conclusion based on rejection region. (c) What proportion of the variation in the price of aluminum is explained by the regression relationship with the price of gold? (d) Form a 95% confidence interval for the mean price of aluminum