Y (50 points). Let (x1, 1), (2, 2), (3, 3), Xn. The variable Y is yi,...

Transcribed Image Text:

Y (50 points). Let (x1, 1), (2, 2), (3, 3), Xn. The variable Y is yi, y2, y3, . The variable X is x1, x2, x3, squares line are given below. (xn, yn) represent n pairs of data points. ..., yn. The scatter plot and the least- (A) Find the equation of the least-squares line. No need to be very accurate. (B) If the mean of variable Y is 113.73 and the sum of the squares of all items of variable X is 36,797.00, find the standard deviation of variable X. (C) If the sum of the squares of all items of variable Y is 232,916.00, find the standard deviation of variable Y. (D) What is the coefficient of determination of the least-squares line? 250 100 50 50 200 150 0 0 0 20 40 60 80 100 X Y (50 points). Let (x1, 1), (2, 2), (3, 3), Xn. The variable Y is yi, y2, y3, . The variable X is x1, x2, x3, squares line are given below. (xn, yn) represent n pairs of data points. ..., yn. The scatter plot and the least- (A) Find the equation of the least-squares line. No need to be very accurate. (B) If the mean of variable Y is 113.73 and the sum of the squares of all items of variable X is 36,797.00, find the standard deviation of variable X. (C) If the sum of the squares of all items of variable Y is 232,916.00, find the standard deviation of variable Y. (D) What is the coefficient of determination of the least-squares line? 250 100 50 50 200 150 0 0 0 20 40 60 80 100 X