A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Weight Machines Cardio Free Weights White 93 87 81 Hispanic Black 85 88 94 43 55 70 Other 55 68 41 What can be concluded at the a = 0.10 significance level?
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.
![c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample :
(Please show your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe93a3e64-0f56-4e6b-85c9-02f02eb64d5c%2F00fc5a0d-3f98-477e-9cc5-7565761248ca%2Fa4utz8_processed.png&w=3840&q=75)
![A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members
engage in are dependent. The table below shows the results of the trainer's observation of randomly selected
members.
Frequencies of Ethnicity and Exercise Activity
Weight Machines
Cardio
Free Weights
White
93
87
81
Hispanic
Black
85
88
94
43
55
70
Other
55
68
41
What can be concluded at the a =
0.10 significance level?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe93a3e64-0f56-4e6b-85c9-02f02eb64d5c%2F00fc5a0d-3f98-477e-9cc5-7565761248ca%2Fw849oer_processed.png&w=3840&q=75)
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