How well do exams given during the semester predict performance on the final (represented with variable s)? One class had three tests during the semester. Computer output of the regression gives the following: a) Write the equation of the regression model. b) What can you conclude about the significance of the regression model? Explain. c) Is following correct, explain: “Unit increase in final score means an increase of 0.2560 in Test1 score.” d) Calculate R2 value. e) How much of the variation in final exam scores is accounted for by the regression model? f) Explain in context what the coefficient of Test3 scores means. g) A student argues the first exam doesn’t help to predict final performance, and suggests that this exam not be given at all. Does Test1 have no effect on the final exam score? Can you tell from this model? (Hint: Do you think test scores are related to each other?) h) Examine following plots and discuss whether the assumptions for the regression seem reasonable. (in the attachment)
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.
How well do exams given during the semester predict performance on the final (represented with variable s)? One class had three tests during the semester. Computer output of the regression gives the following:
a) Write the equation of the regression model.
b) What can you conclude about the significance of the regression model? Explain.
c) Is following correct, explain: “Unit increase in final score means an increase of 0.2560 in Test1 score.”
d) Calculate R2 value.
e) How much of the variation in final exam scores is accounted for by the regression model?
f) Explain in context what the coefficient of Test3 scores means.
g) A student argues the first exam doesn’t help to predict final performance, and suggests that this exam not be given at all. Does Test1 have no effect on the final exam score? Can you tell from this model? (Hint: Do you think test scores are related to each other?)
h) Examine following plots and discuss whether the assumptions for the regression seem reasonable. (in the attachment)
I also shared the ss of the question in the attachment.
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