Crimini 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 includethree decimal placesin all answers. The work for all of the parts will be submitted at the end of the question. The summary data is given below:

n = 30S_XX= 137.48S_YY= 5.078S_XY= 20.75MSE = 0.0695x = 15.993

The equation of the line is

y = -1.141 + 0.151 x

a) A value of 17.9 g is the size of an average Crimini mushroom. Is there any evidence to suggest that the you will get 1.9 mg of copper (the amount that is in one bar of dark chocolate) when you eat one average Crimini mushroom? Please explain. Be sure to mention which interval, from d) or from e), you are using in your explanation.

BONUS: Do you think that inference should be performed on the y-intercept? Please explain your answer.