6. For a group of students, their scores for English course (7) and for Cal- culus course (y) were recorded. Student ID English(x) | Calc.(y) | (± − T)² | (y — D)² | (1 − 1)(y – V) 1 2.5 2.5 0.25 0.25 0.25 2 1 3 1 0 0 3 3 2.5 0 0 1 3.5 4 0.25 1 0.5 LO 5 2 3 1 0 0 Sum 15 15 1.5 0.75 (a) Fill in the blanks (b) Compute the standard deviation of y (c) Compute the correlation coefficient r. Is it significantly different from 0? (d) Estimate the least squares line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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6. For a group of students, their scores for English course (7) and for Cal-
culus course (y) were recorded.
Student ID English(x) | Calc.(y) | (± − T)² | (y — D)² | (1 − 1)(y – V)
1
2.5
2.5
0.25
0.25
0.25
2
1
3
1
0
0
3
3
2.5
0
0
1
3.5
4
0.25
1
0.5
LO
5
2
3
1
0
0
Sum
15
15
1.5
0.75
(a) Fill in the blanks
(b) Compute the standard deviation of y
(c) Compute the correlation coefficient r. Is it significantly different
from 0?
(d) Estimate the least squares line.
Transcribed Image Text:6. For a group of students, their scores for English course (7) and for Cal- culus course (y) were recorded. Student ID English(x) | Calc.(y) | (± − T)² | (y — D)² | (1 − 1)(y – V) 1 2.5 2.5 0.25 0.25 0.25 2 1 3 1 0 0 3 3 2.5 0 0 1 3.5 4 0.25 1 0.5 LO 5 2 3 1 0 0 Sum 15 15 1.5 0.75 (a) Fill in the blanks (b) Compute the standard deviation of y (c) Compute the correlation coefficient r. Is it significantly different from 0? (d) Estimate the least squares line.
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