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 α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.3098 Glass 0.3098 1 Determine the null and alternative hypotheses. H0: ρ ▼ greater than> less than< equals= not equals≠ nothing H1: ρ ▼ less than< equals= greater than> not equals≠ nothing (Type integers or decimals. Do not round.) Identify the test statistic, r. r=nothing (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r=nothing. B. There are two critical values at r=±nothing. State the conclusion. Because the absolute value of the test statistic is ▼ less than or equal to greater than the positive critical value, there ▼ is not 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 α=0.05.
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 α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.3098 Glass 0.3098 1 Determine the null and alternative hypotheses. H0: ρ ▼ greater than> less than< equals= not equals≠ nothing H1: ρ ▼ less than< equals= greater than> not equals≠ nothing (Type integers or decimals. Do not round.) Identify the test statistic, r. r=nothing (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r=nothing. B. There are two critical values at r=±nothing. State the conclusion. Because the absolute value of the test statistic is ▼ less than or equal to greater than the positive critical value, there ▼ is not 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 α=0.05.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
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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 α=0.05.
Click here to view a table of critical values for the
LOADING...
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Correlation matrix:
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Variables
|
Paper
|
Glass
|
|---|---|---|
|
Paper
|
1
|
0.3098
|
|
Glass
|
0.3098
|
1
|
|
|
|
|
|
|
|
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Determine the null and alternative hypotheses.
H0:
ρ
nothing
▼
greater than>
less than<
equals=
not equals≠
H1:
ρ
nothing
▼
less than<
equals=
greater than>
not equals≠
(Type integers or decimals. Do not round.)
Identify the test statistic, r.
r=nothing
(Round to three decimal places as needed.)Identify the critical value(s).
(Round to three decimal places as needed.)
There is one critical value at
r=nothing.
There are two critical values at
r=±nothing.
State the conclusion.
Because the absolute value of the test statistic is
the positive critical value, there
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
▼
less than or equal to
greater than
▼
is not
is
α=0.05.
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