Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 27 years. Is the result within 5 years of the actual Best Actor winner, whose age was 43 years? Best Actress 27 32 30 63 30 31 47 30 61 22 46 54 O Best Actor 43 39 37 46 48 48 62 49 38 56 42 35
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.
Given observation and calculation is shown below
| Best Actress(x) | Best Actor(y) | y2 | xy |
| 27 | 43 | 729.00 | 729.00 |
| 32 | 39 | 1024.00 | 992.00 |
| 30 | 37 | 900.00 | 840.00 |
| 63 | 46 | 3969.00 | 3654.00 |
| 30 | 48 | 900.00 | 960.00 |
| 31 | 48 | 961.00 | 992.00 |
| 47 | 62 | 2209.00 | 2068.00 |
| 30 | 49 | 900.00 | 840.00 |
| 61 | 38 | 3721.00 | 3721.00 |
| 22 | 56 | 484.00 | 506.00 |
| 46 | 42 | 2116.00 | 1978.00 |
| 54 | 35 | 2916.00 | 3024.00 |
|
n |
12.0 |
|
∑x |
463.0 |
|
∑y |
473.0 |
|
x̅ |
38.6 |
|
y̅ |
39.4 |
|
∑x2 |
543 |
|
∑y2 |
20829.0 |
|
∑xy |
20304.0 |
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