Does the random paired data below show a linear correlation? x y 4 28.08 5 19.87 6 29.76 7 18.75 8 16.64 9 20.23 10 14.32 11 22.61When in doubt, assume the original claim is "There is linear correlation."
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.
Does the random paired data below show a
| x | y |
|---|---|
| 4 | 28.08 |
| 5 | 19.87 |
| 6 | 29.76 |
| 7 | 18.75 |
| 8 | 16.64 |
| 9 | 20.23 |
| 10 | 14.32 |
| 11 | 22.61 |
Original claim : Select an answer
H0: ?
Ha: ?
We will use significance level .01.What method can verify our claim? Select an answer 1 Proportion z test 1 Proportion z interval t-test Linear regression t-Test t-interval Linear regression t-interval z-test To check the requirements, graph
Scatter plot - Dotplot
- Box plot
- Normal quantile plot
- Histogram
- points are loosly grouped around a bell shaped curve
- points are loosly grouped around a line without an obvious curve
- all outliers are removed
- all outliers are removed that are due to errors
- there are at least 5 successes and 5 failures
- there are at least 30 points
P-value = round to four decimal places.
Thus, we shall Select an answer Support the null hypothesis ,Reject the null hypothesis , Fail to reject the null hypothesis .
Conclusion: Select an answer
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
