Compute the Pearson correlation for the following data. X Y 2 3 3 1 6 5 4 4 5 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. a. Use a two-tailed test with a = .05. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4. b. Write a sentence regarding your results. c. Calculate the regression equation for this data set.d. Wh
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.
Compute the Pearson
X Y
2 3
3 1
6 5
4 4
5 2
A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above.
a. Use a two-tailed test with a = .05. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
b. Write a sentence regarding your results.
c. Calculate the regression equation for this data set.d. What are the predicted Y scores for the following X scores: X=1, X=7, X=10, X=12.
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