Cremini mushrooms are more common than white mushrooms, and they contain a high amount of copper, which is an essential element according to the U.S. Food and Drug Administration. A study was conducted to determine whether the weight of a mushroom is linearly related to the amount of copper it contains. A random sample of cremini mushrooms was obtained, and the weight (x, in grams) and the total copper content (y, in mg) was measured for each. You may assume that all of the assumptions for regression are valid. Please include three decimal places in all answers. Find the 97.5% confidence interval for the slope. Please include at least three decimal places. Conduct a hypothesis test (t-test) to determine if there is an association between the copper content and the weight. Please use a significance level of 0.025. Include the four steps

n = 30 Sxx = 140.684 SYY - 5.225 Sxy - 20.81 MSE = 0.0766 X = 15.970 (x* - 5)27 MSE = 0.06769 (x* - X) 2 = 0.28492 Sxx MSE 14 Sxx The equation of the line is y = -1.082 + 0.148 x