In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 18 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.31. Does this result suggest that the correlation is statistically significant? Use a = 9.01. 1. Select the correct statement: O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y O If the correlation is found to be statistically significant, that means that changes in x cause changes in y The hypotheses are: O Ho:r = 0; Ha:r 0 O Ho:p > 0; Ha:p < 0 O Ho:r < 0; Ha:r > 0 O Ho:p < 0; Ha:p> 0 O Ho:p = 0; Ha:p +0 O Ho:r > 0; Ha:r < 0 2. This is a O rightO twoO left tailed test and the distribution used is OT OZ
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.
![The Degrees of Freedom are
O 16
O 18
O N/A; this is a Z-test
O 17
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 sinceP> a
O Reject Ho since P> a
The conclusion is:
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation
O There is sufficient evidence to conclude that there is not 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 a statistically significant linear correlation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0e180e9-bf8c-4123-bea2-599c108c9f59%2F01574395-c2d1-4d0c-8946-3a1bf304f657%2F3u5h4xj_processed.jpeg&w=3840&q=75)
![In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score.
A random sample of 18 soccer matches found that the linear correlation coefficient between shots taken
and goals scored was 0.31.
Does this result suggest that the correlation is statistically significant? Use a = 0.01.
1. Select the correct statement:
O Even if the correlation is found to be statistically significant, that does not necessarily mean that
changes in x cause changes in y
O If the correlation is found to be statistically significant, that means that changes in x cause changes
in y
The hypotheses are:
O Ho:r = 0; Ha:r +0
O Ho:p > 0; Ha:p < 0
O Ho:r < 0; Ha:r > 0
or
O Ho:p < 0; Ha:p > 0
O Ho:p = 0; Ha:p# 0
O Ho:r > 0; Ha:r < 0
2. This is a O rightO twoO left tailed test and the distribution used is
От
OZ
of Freedom are](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0e180e9-bf8c-4123-bea2-599c108c9f59%2F01574395-c2d1-4d0c-8946-3a1bf304f657%2Fsvapky3_processed.jpeg&w=3840&q=75)
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