A local Crossfit gym offers a one-month program designed to help customers lose weight. The table below shows the weight of 9 randomly selected customers before and after completing the program. Weight Before 133 243 198 165 147 151 225 232 178 Weight After 128 231 179 160 144 152 212 224 174 The owner of the gym hires a statistician to determine whether knowing the weight before joining the program can help predict the weight after completing the program. Which of the following is the most appropriate procedure for this? a. A linear regression t-test for slope b. A matched-pairs t-test for a mean difference c. A two-sample z-test for a difference between proportions d. A chi-square test of independence e. A two-sample t-test for a difference between means
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.
A local Crossfit gym offers a one-month program designed to help customers lose weight. The table below shows the weight of 9 randomly selected customers before and after completing the program.
| Weight Before | 133 | 243 | 198 | 165 | 147 | 151 | 225 | 232 | 178 |
| Weight After | 128 | 231 | 179 | 160 | 144 | 152 | 212 | 224 | 174 |
The owner of the gym hires a statistician to determine whether knowing the weight before joining the program can help predict the weight after completing the program. Which of the following is the most appropriate procedure for this?
- a. A linear regression t-test for slope
- b. A matched-pairs t-test for a mean difference
- c. A two-sample z-test for a difference between proportions
- d. A chi-square test of independence
- e. A two-sample t-test for a difference between means
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