The data from exercise 3 follow xi2 6 9 13 20 Vi7 18 9 26 23 The estimated regression equation is y- 7.6 + .9x. a. What is the value of the standard error of the estimate (to 4 decimals)? b. What is the value of the t test statistic (to 2 decimals)? What is the p-value? Use Table 1 of Appendix B. Select What is your conclusion (a.05)? Select C. Use the F test to test for a significant relationship. Use α-.05. Compute the value of the F test statistic (to 2 decimals) What is the p-value? Select What is your conclusion? Select
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 data from exercise 3 follow.
| xi | 2 | 6 | 9 | 13 | 20 |
| yi | 7 | 18 | 9 | 26 | 23 |
The estimated regression equation is = 7.6 + .9x.
- What is the value of the standard error of the estimate (to 4 decimals)?
- What is the value of the t test statistic (to 2 decimals)?
What is the p-value? Use Table 1 of Appendix B.
Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 3
What is your conclusion ( = .05)?
SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 4 - Use the F test to test for a significant relationship. Use = .05.
Compute the value of the F test statistic (to 2 decimals).
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
What is your conclusion?
SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and y
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