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Show transcribed image text (9 pts.) 2. Cimini 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 crimini 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 3 decimal places in all answers. The summary data is given below: = 21.27, MSE = 0.0888 n = 30, Sxx-137.48, SYY = 5.779, SXY The line is: y1.202 +0.155x (2 pts.) a) Find and interpret the 95% confidence interval for the slope. (6 pts.) b) 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 0.05. (1 pt.) c) Find the sample correlation coefficient.
(9 pts.) 2. Cimini 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 crimini 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 3 decimal places in all answers. The summary data is given below: = 21.27, MSE = 0.0888 n = 30, Sxx-137.48, SYY = 5.779, SXY The line is: y1.202 +0.155x (2 pts.) a) Find and interpret the 95% confidence interval for the slope. (6 pts.) b) 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 0.05. (1 pt.) c) Find the sample correlation coefficient.
