The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α=0.01 Best Actress: 29, 30, 29, 57, 32, 34, 44, 30, 64, 22, 44, 54 Best Actor: 45, 35, 37, 45, 50, 48, 56, 48, 40, 53, 43, 44 The linear correlation coefficient r is -.281 Determine the null and alternative hypotheses. H0: ρ=0 H1: ρ≠0 The test statistic is -0.92. The P-value is ?
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 accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a
Best Actress: 29, 30, 29, 57, 32, 34, 44, 30, 64, 22, 44, 54
Best Actor: 45, 35, 37, 45, 50, 48, 56, 48, 40, 53, 43, 44
The linear correlation coefficient r is -.281
Determine the null and alternative hypotheses.
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