In exercise 18 the data on price ($) and the overall score for six stereo headphones tested by Consumer Reports were as follows (Consumer Reports website, March 5 , 2012) Brand Price ($) Score Bose 180 76 Skullcandy 150 71 Koss 95 61 Phillips/O'Neill 70 56 Denon 70 40 JVC 35 26 a. Does the t test indicate a significant relationship between price and the overall score? What is your conclusion ? Use α = .05. c. Show the ANOVA table for these data.
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.
In exercise 18 the data on price ($) and the overall score for six stereo headphones tested by Consumer Reports were as follows (Consumer Reports website, March 5 , 2012)
| Brand | Price ($) | Score |
|
Bose |
180 | 76 |
| Skullcandy | 150 | 71 |
| Koss | 95 | 61 |
| Phillips/O'Neill | 70 | 56 |
| Denon | 70 | 40 |
| JVC | 35 | 26 |
a. Does the t test indicate a significant relationship between price and the overall score? What is your conclusion ? Use α = .05.
c. Show the ANOVA table for these data.
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