Students at a local university believe that their statistics instructor gives them homework assignments just to punish them. They wonder if there is any relationship between the number of optional homework problems they do during the semester and their final course grade. They decide to keep track of the number of these problems completed during the course of the semester. At the end of the class each student’s total is recorded along with their final grade. alpha=.05 Problems Course Grade 51 62 58 68 62 66 65 66 68 67 76 72 77 73 78 72 78 78 84 73 85 76 91 75 a. What is the regression equation to predict the final grade from the number of homework assignments completed? b. Does the number of completed homework problems predict a significant portion of the variance of the course grade, using α= .05
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.
Students at a local university believe that their statistics instructor gives them homework assignments just to punish them. They wonder if there is any relationship between the number of optional homework problems they do during the semester and their final course grade. They decide to keep track of the number of these problems completed during the course of the semester. At the end of the class each student’s total is recorded along with their final grade.
alpha=.05
Problems Course Grade
51 62
58 68
62 66
65 66
68 67
76 72
77 73
78 72
78 78
84 73
85 76
91 75
a. What is the regression equation to predict the final grade from the number of homework assignments completed?
b. Does the number of completed homework problems predict a significant portion of the variance of the course grade, using α= .05?
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