Compute the regression equation y on x


Discussion:

Q: An instructor wants to figure out if a student's score on the first exam is correlated with their score on the final exam or if they predict the final exam. Below are the figures for 10 randomly selected students from her class.

Student First Exam, Final Exam,

Score, x Score, y

A 46 48
B 32 40
C 40 35
D 35 34
E 28 25
F 32 34
G 40 39
H 48 45
I 28 29
J 35 32

a. Calculate the means, medians, modes, variances, and standard deviations.

b. Calculate sigma(x²), sigma(y²), and sigma(xy). _________, __________, and __________.

c. What is Pearson's r? _____________________.

d. Compute the regression equation y on x.

e Compute the standard error of the estimate.

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Applied Statistics: Compute the regression equation y on x
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