Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Find the equation of the regression line of age on weight, showing your work for calculations of a and b. Fill in the rest of this table so you can test whether the calculated slope is significantly different from zero. df SS MS F Regression Residual 8.58 Total 699.2 What is the critical value for this test? ______________ Write a complete finding with all statistical details. Be sure to include expressions of direction and magnitude in your plain English sentence. In your statistical parentheses, include the equation of the regression line and the predictive power of the relationship (r2).
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.
- Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Find the equation of the regression line of age on weight, showing your work for calculations of a and b.
Fill in the rest of this table so you can test whether the calculated slope is significantly different from zero.
|
|
df |
SS |
MS |
F |
|
Regression |
||||
|
Residual |
8.58 |
|||
|
Total |
699.2 |
|
|
What is the critical value for this test? ______________
Write a complete finding with all statistical details. Be sure to include expressions of direction and magnitude in your plain English sentence. In your statistical parentheses, include the equation of the regression line and the predictive power of the relationship (r2).
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