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 a=001. E Click the icon to view the ages of the award winners. Best Actress (years) Best Actress (years) Best Actress years) sest Actress ears) - X The linear correlation coefficient is r= (Round to three decimal places as needed.) Best Actresses and Best Actors Determine the null and alternative hypotheses. 65 Best Actress 27 31 22 45 51 O 53 45 34 30 60 33 34 30 Ho: p 43 35 37 45 52 46 64 Best Actor 50 40 H P (Type integers or decimals. Do not round.) Print Done The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) V the significance level, there sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses Because the P-value of the linear correlation coefficient 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.
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