In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 25 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.43. Does this result suggest that the correlation is statistically significant? 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 is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y
In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 25 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.43. Does this result suggest that the correlation is statistically significant? 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 is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y
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 2BGP
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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
Transcribed Image Text:The Degrees of Freedom are
O 24
O 25
ON/A; this is a Z-test
O 23
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 Reject Ho since P < a
O Do not reject Ho since P > a
O Reject Ho since P > a
O Do not reject Ho since P < a
The conclusion is:
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 sufficient evidence to conclude that there is not a statistically significant linear correlation
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation
Transcribed Image Text:In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score.
A random sample of 25 soccer matches found that the linear correlation coefficient between shots taken
and goals scored was 0.43.
Does this result suggest that the correlation is statistically significant? Use a = 0.01.
1. Select the correct statement:
O If the correlation is found to be statistically significant, that means that ehanges in x cause changes
in y
O Even if the correlation is found to be statistically significant, that does not necessarily mean 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 leftO twoO right tailed test and the distribution used is
OT
OZ
The Degrees of Freedom are
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