Find the coefficient of correlation. Determine at the 0.01 significance level whether the correlation in the population is greater than zero.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Exercise no. 3. Correlation and Regression
ENSC 120
Name:
Date:
Score:
Problem # 1. AUS Rural Bank is studying the relationship between the mean account balance for
individual accounts and the number of transactions per month. A sample of eight accounts revealed:
Customer
1
2
3
4
5
6
7
8
32
53
24
15
10
16
27
Mean Balance (P000s) 50
No. of Transactions
5
2
7
9
10
2
4
11
Find the coefficient of correlation. Determine at the 0.01 significance level whether the correlation in
the population is greater than zero.
Solution:
State the hypotheses.
Ho:
H₂:
The Level of significance and critical region. a =
and tertical =
Complete the table and compute for the value of r and t.
Customer
X
Y
Y²
XY
1
ΣΧΥ =
2
3
4
5
6
7
8
ΣΧ=
EX² =
r =
Decision Rule.
Conclusion.
ΣΥ=
ΣΥ
tcomputed
Transcribed Image Text:Exercise no. 3. Correlation and Regression ENSC 120 Name: Date: Score: Problem # 1. AUS Rural Bank is studying the relationship between the mean account balance for individual accounts and the number of transactions per month. A sample of eight accounts revealed: Customer 1 2 3 4 5 6 7 8 32 53 24 15 10 16 27 Mean Balance (P000s) 50 No. of Transactions 5 2 7 9 10 2 4 11 Find the coefficient of correlation. Determine at the 0.01 significance level whether the correlation in the population is greater than zero. Solution: State the hypotheses. Ho: H₂: The Level of significance and critical region. a = and tertical = Complete the table and compute for the value of r and t. Customer X Y Y² XY 1 ΣΧΥ = 2 3 4 5 6 7 8 ΣΧ= EX² = r = Decision Rule. Conclusion. ΣΥ= ΣΥ tcomputed
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