The following data on price (8) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is y = 26.239 + 0.309z. Brand Price Score Bose 190 77 Scullcandy 150 78 Kos 85 61 Phillips/O'Neill 80 56 Denon 80 50 JVC 35 27 1. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use a = 0.05 (to 2 decimal places.) Ise Table 2 of Appendix B to find the p-value. he p-value is between 0.01 and 0.02 v Vhat is your conclusion? Use a = 0.05. There is a significant relationship between price and overall score v . Test for a significant relationship using the F test. Use Table 4 of Appendix B. -value is between 0.01 and 0.025 vO Vhat is your conclusion? Use a = 0.05. Because p-value is less than or equal to 0.05. we reject vO Họ : B, is equal to zero . Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations. Source of Sum of Degrees of Wariation p-value (to 4 decimals) Squares Freedom Mean Square Regression Error Total
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 following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is y = 26.239 + 0.309x.
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