QUESTION 3 Different foods have a different number of calories. The size in grams of an average serving and the weight of the contestant in lose weight program is being studied. The simple linear regression and correlation analysis is performed in a sample of 9 observations and give the results as below: SS = 8400 ss, = 1067.68 a = 30.134 b = 0.2867 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope. 6) Test the hypothesis that the slope would be positive at the 10% significance level by showing your solution. e) Construct an 80% confidence interval for B. Interpret your answer.
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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