weights garbage discaldeu Une week irom 62 different nouseholds. The paired weights of Correlation matrix: 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. Variables Paper Glass Paper Glass 10.0979 0.0979 Click here to view a table of critical values for the correlation coefficient.
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.
![**Identify the critical value(s) (Round to three decimal places as needed):**
- **Option A:** There is one critical value at r = [ ]
- **Option B:** There are two critical values at r = ± [ ]
**State the conclusion:**
Because the absolute value of the test statistic is [dropdown menu] the positive critical value, there [dropdown menu] 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.
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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 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.
Determine the null and alternative hypotheses.
\(H_0: \rho \)
\[H_1: \rho \]
(Type integers or decimals. Do not round.)
Identify the test statistic, \( r \).
\( r = \)
(Round to three decimal places as needed.)
Correlation matrix:
| Variables | Paper | Glass |
|-----------|-------|-------|
| Paper | 1 | 0.0979 |
| Glass | 0.0979| 1 |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff07c08e3-d23b-499d-b335-e2f40cb111c6%2Fb9095208-602b-46de-b25f-1ab8d6b31873%2Fz6nffut_processed.jpeg&w=3840&q=75)
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