Is depression a possible factor in students missing classes? Two of the variables in the study are DepressionScore, which gives score on a standard depression scale with higher numbers indicating greater depression, and ClassesMissed, the number of classes missed during the semester, for a sample of 253 college students. Computer output is shown below. a). Write down the regression equation to predict ClassesMissed using DepressionScore. b). Interpret the coefficient of determination, R-Square. c). Test if DepressionScore is a significant predictor for ClassesMissed at 5% level (write down the hypotheses, p-value, and conclusion). d). Is DepressionScore a significant predictor for ClassesMissed at 1% level? Explain. (You do not need to perform a complete step of hypothesis test, only write the conclusion).
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.
Is depression a possible factor in students missing classes? Two of the variables in the study are DepressionScore, which gives score on a standard depression scale with higher numbers indicating greater depression, and ClassesMissed, the number of classes missed during the semester, for a sample of 253 college students. Computer output is shown below.
a). Write down the regression equation to predict ClassesMissed using DepressionScore.
b). Interpret the coefficient of determination, R-Square.
c). Test if DepressionScore is a significant predictor for ClassesMissed at 5% level (write down the hypotheses, p-value, and conclusion).
d). Is DepressionScore a significant predictor for ClassesMissed at 1% level? Explain. (You do not need to perform a complete step of hypothesis test, only write the conclusion).
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