The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows.
x | 5 | 15 | 21 | 12 | 23 | 22 | 14 | 19 | 18 | 17 | 19 | 18 | 7 | 5 | 6 | 21 | 19 | 10 | 18 | 13 |
y | 19 | 19 | 24 | 36 | 27 | 26 | 25 | 28 | 17 | 27 | 21 | 24 | 18 | 18 | 14 | 28 | 21 | 22 | 20 | 21 |
(a) Find the equation of the line of best fit. (Round your slope
to four decimal places and your y-intercept to three
decimal places.)
= + x
(b) Find se2. (Round your answer to
two decimal places.)
The statistical software output for this problem is:
From above output:
a) y = 16.771 + 0.396 x
b) se2 = 21.34
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