The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 different varieties of cereal. Sugar (gms) 4 15 12 11 8 6 7 2 7 14 20 3 13 Calories 120 200 140 110 120 80 190 100 120 190 190 110 120 (a) Find the correlation coefficient and coefficient of determination. What can you conclude from their values? (b) Test at a 1% significance level whether the linear correlation coefficient between the two variables listed in the table is positive. Use both the p-value and critical value (including reject and non-reject regions) approaches
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.
The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 different varieties of cereal.
| Sugar (gms) | 4 | 15 | 12 | 11 | 8 | 6 | 7 | 2 | 7 | 14 | 20 | 3 | 13 |
| Calories | 120 | 200 | 140 | 110 | 120 | 80 | 190 | 100 | 120 | 190 | 190 | 110 | 120 |
(a) Find the
(b) Test at a 1% significance level whether the
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
