The data shown below consists of the price (in dollars) of 11 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.10 and round all values to 4 decimal places. Ticket Price Attendence 6 239 10 148 14 101 18 77 22 64 26 57 30 54 34 52 38 51 42 51 46 50 Ho: ρ = 0 Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) αα Greater than αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is no Significant Linear Correlation between ticket price and attendence. There is no Significant Correlation There is Significant Positive Linear Correlation between ticket price and attendence. There is Significant Linear Correlation between ticket price and attendence. There is Significant Negative Linear Correlation between ticket price and attendence.
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 shown below consists of the price (in dollars) of 11
| Ticket Price | Attendence |
|---|---|
| 6 | 239 |
| 10 | 148 |
| 14 | 101 |
| 18 | 77 |
| 22 | 64 |
| 26 | 57 |
| 30 | 54 |
| 34 | 52 |
| 38 | 51 |
| 42 | 51 |
| 46 | 50 |
Ho: ρ = 0
Ha: ρ ≠ 0
Find the Linear
r =
Find the p-value
p-value =
The p-value is
- Less than (or equal to) αα
- Greater than αα
The p-value leads to a decision to
- Accept Ho
- Do Not Reject Ho
- Reject Ho
The conclusion is
- There is no Significant Linear Correlation between ticket price and attendence.
- There is no Significant Correlation
- There is Significant
Positive Linear Correlation between ticket price and attendence. - There is Significant Linear Correlation between ticket price and attendence.
- There is Significant
Negative Linear Correlation between ticket price and attendence.
The final conclusion is
- It appears that there is no linear relationship between ticket price and attendence.
- If ticket price increase, attendence will decrease.
- It appears that as ticket price increases attendence increases.
- It appears that as ticket price increases attendence decreases.
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