15.) The age in years of 11 children and the number of words in their vocabulary is given below: 15.) The age in years of 11 children and the number of words in their vocabulary is given below: AGE (x) 1 2 3 4 5 6 3 5 2 4 6 Voc size(y) 25 220 540 1100 2100 2600 730 2365 260 1200 2551 Calculate the equation of the regression line (round to two decimal places) and the correlation coefficient. Now use it to predict the Vocabulary size for a child a.) 7 yrs old b.) 11 yrs old Round your answer to the nearest whole number.
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.
15.) The age in years of 11 children and the number of words in their vocabulary is given below:
15.) The age in years of 11 children and the number of words in their vocabulary is given below:
|
AGE (x) |
1 |
2 |
3 |
4 |
5 |
6 |
3 |
5 |
2 |
4 |
6 |
|
Voc size(y) |
25 |
220 |
540 |
1100 |
2100 |
2600 |
730 |
2365 |
260 |
1200 |
2551 |
Calculate the equation of the regression line (round to two decimal places) and the
Now use it to predict the Vocabulary size for a child a.) 7 yrs old b.) 11 yrs old Round your answer to the nearest whole number.
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