4. A professor expects about 30% of his class to get an A in a typical semester. He wonders if this proportion is different in a summer sesion. He collects data on 11 students taking a course with him over the summer and olserves 4 of them getting an A. Is there evidenoe that the proportion of students getting an A in the summer session is different from the proportion getting an A in a typical semester? To answer this question, do the follow: (a) Write out the hypotheses. (b) Discus whether assumptions are met for uwsing the Central Limit Theorem. Based on this, indicate the most appropriate test to conduct for testing the lypotheses. (e) Write the R code for conducting this test.
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.
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