Question 1 Suppose a six-sided die is tossed 180 times. It is expected that 1 will occur 30 times, 2 will occur 30 times, etc. Below are the results: 1: 32 2: 40 3: 22 4: 32 5: 34 6: 20 Using alpha = 0.05, is there enough evidence to reject the null hypothesis that the die is fair? Explain your answer. Question 2 A regression model shows the following equation: y= 17 + 3.4x What is the expected value of y when x is 8? Interpret the y-intercept. Interpret the slope.
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.
Question 1
Suppose a six-sided die is tossed 180 times. It is expected that 1 will occur 30 times, 2 will occur 30 times, etc.
Below are the results:
1: 32
2: 40
3: 22
4: 32
5: 34
6: 20
Using alpha = 0.05, is there enough evidence to reject the null hypothesis that the die is fair? Explain your answer.
Question 2
A regression model shows the following equation:
y= 17 + 3.4x
What is the
Interpret the y-intercept.
Interpret the slope.
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