A researcher believes that more sleep can result in better reaction time. A random sample of adults were involved in the study, where the amount of sleep they got the previous night was recorded and their reaction time was measured the next morning using a standard test for reaction time . The data is given in the table below. At the alpha = 0.05 level of significance , test the researcher's claim that there is a negative linear correlation between sleep and reaction time. Round all results to three decimal places .
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.
A researcher believes that more sleep can result in better reaction time. A random sample of adults were involved in the study, where the amount of sleep they got the previous night was recorded and their reaction time was measured the next morning using a standard test for reaction time . The data is given in the table below. At the alpha = 0.05 level of significance , test the researcher's claim that there is a
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