orrelation Question An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 5 people. Higher scores for cognitive function reflect higher levels of performance. Hours of sleep Cognitive function 0 2 10 6 4 2 8 4 8 6 ______________________________________________________________________________ Write the null and research hypotheses for the relationship between sleep and cognitive functioning in regular prose-i.e. you do NOT need to use H0/H1 form. The correlation coefficient for this problem is .875. Is it significant? Determine this by using the critical t-values table and alpha level = .05 for a two-tailed test. Does the amount of sleep account for a significant amount of variability in scores for cognitive function? What proportion of variance in cognitive function is accounted for by sleep (i.e. what is the coefficient of determination?)
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.
An investigator is interested in predicting scores for a measure of cognitive
Hours of sleep Cognitive function
0 2
10 6
4 2
8 4
8 6
______________________________________________________________________________
- Write the null and research hypotheses for the relationship between sleep and cognitive functioning in regular prose-i.e. you do NOT need to use H0/H1 form.
- The
correlation coefficient for this problem is .875. Is it significant? Determine this by using the critical t-values table and alpha level = .05 for a two-tailed test.
- Does the amount of sleep account for a significant amount of variability in scores for cognitive function? What proportion of variance in cognitive function is accounted for by sleep (i.e. what is the coefficient of determination?)
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