Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 18 (x,y) pairs yields r = 0.31. Use a 0.01.
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.
![ons
Test the claim that the linear correlation coefficient of a population is statistically significant. A random
sample of 18 (x,y) pairs yields r = 0.31. Use a = 0.01.
1. Select the correct statement:
O If the correlation is found to be statistically significant, that means that changes in x cause changes
in y
O Even if the correlation
changes in x cause changes in y
found to be statistically significant, that does nôt necessarily mean that
king Online
The hypotheses are:
O Ho:r = 0; Ha:r + 0
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O Ho:r > 0; Ha:r <0
O Ho:r < 0; Ha:r > 0
55
O Ho:p > 0; Ha:p < 0
О Но: р < 0%;B На: р > 0
iscover
xam Proctor
O Ho:p = 0; Ha:p+ 0
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2. This is a C twoO leftO right tailed test and the distribution used is
OT
Oz
The Degrees of Freedom are
O 18
O 16
O 17
ON/A: this is a Z-test](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0e180e9-bf8c-4123-bea2-599c108c9f59%2F0c0ca19e-08a0-45db-89a1-56500e94b562%2Fmedrgr_processed.jpeg&w=3840&q=75)
![OT
OZ
The Degrees of Freedom are
O 18
O 16
O 17
O N/A; this is a Z-test
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.01 is:
O Do not reject Ho since P > a
O Reject Ho since P < a
O Do not reject Ho since P < a
O Reject Ho since P > a
The conclusion is:
O There is sufficient evidence to conclude that there is not a statistically significant linear correlation
O There is insufficient evidence to conclude that there is a statistically significant linear correlation
O There is sufficient evidence to conclude that there is a statistically significant linear correlation
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0e180e9-bf8c-4123-bea2-599c108c9f59%2F0c0ca19e-08a0-45db-89a1-56500e94b562%2Fmemtfhy_processed.jpeg&w=3840&q=75)
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