A sample of 15, 10 years old children was taken to study whether watching television reduces the amount of physical exercise, causing weight gains. The number of kilograms each child was overweight by was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed in the table below. a. Use an appropriate plot to investigate the relationship between Television(hours) and Overweight (KG). Briefly explain the selection of each variable on the X and Y axes and why? b. Calculate and interpret the coefficient of correlation (r) between Television(hours) and Overweight (KG) television (hours) 42 34 25 35 37 38 31 33 19 29 38 28 29 36 18 overweight ( kg)
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.
A sample of 15, 10 years old children was taken to study whether watching television reduces the
amount of physical exercise, causing weight gains. The number of kilograms each child was overweight
by was recorded (a negative number indicates the child is underweight). In addition, the number of
hours of television viewing per week was also recorded. These data are listed in the table below.
a. Use an appropriate plot to investigate the relationship between Television(hours) and Overweight
(KG). Briefly explain the selection of each variable on the X and Y axes and why?
b. Calculate and interpret the coefficient of
| television (hours) | 42 | 34 | 25 | 35 | 37 | 38 | 31 | 33 | 19 | 29 | 38 | 28 | 29 | 36 | 18 | |
| overweight ( kg) | 8 | 3 | 0 | 0 | 6 | 6 | 3 | 3 | -4 | 4 | 4 | 2 | 1 | 6 | -3 |
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