a = .05 a = .01 4 .950 .990 .878 .959 6 .811 .917 7 .754 .875 8. .707 .834 .666 .798 10 .632 .765 11 .602 .735 12 .576 .708 13 .553 .684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 .606 18 .468 .590 19 .456 .575 20 .444 .561 25 .396 .505 30 .361 .463

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 11PPS
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Question
a = .05
a = .01
.950
.990
.878
.959
6
.811
.917
7
.754
.875
8.
.707
.834
.666
.798
10
.632
.765
11
.602
.735
12
.576
.708
13
.553
.684
14
.532
.661
15
.514
.641
16
.497
.623
17
.482
.606
18
.468
.590
19
.456
.575
20
.444
.561
25
.396
.505
30
.361
.463
Transcribed Image Text:a = .05 a = .01 .950 .990 .878 .959 6 .811 .917 7 .754 .875 8. .707 .834 .666 .798 10 .632 .765 11 .602 .735 12 .576 .708 13 .553 .684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 .606 18 .468 .590 19 .456 .575 20 .444 .561 25 .396 .505 30 .361 .463
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were
used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between
weights of discarded paper and glass? Use a significance level of a = 0.05.
Correlation matrix:
Variables Paper Glass
Раper
10.4073
Click here to view a table of critical values for the correlation coefficient.
Glass
0.4073
1
Но Р
(Type integers or decimals. Do not round.)
Identify the test statistic, r.
(Round to three decimal places as needed.)
r=
Identify the critical value(s).
(Round to three decimal places as needed.)
A. There are two critical values at r = ±
B. There is one critical value at r =
State the conclusion.
Because the absolute value of the test statistic is
the positive critical value, there
is
sufficient evidence to support the claim that there is a
linear correlation between the weights of discarded paper and glass for a significance level of a = 0.05.
Transcribed Image Text:A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Correlation matrix: Variables Paper Glass Раper 10.4073 Click here to view a table of critical values for the correlation coefficient. Glass 0.4073 1 Но Р (Type integers or decimals. Do not round.) Identify the test statistic, r. (Round to three decimal places as needed.) r= Identify the critical value(s). (Round to three decimal places as needed.) A. There are two critical values at r = ± B. There is one critical value at r = State the conclusion. Because the absolute value of the test statistic is the positive critical value, there is sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of a = 0.05.
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