Find the regression line for the data below, given that r = 0.89, and predict the lumen when wattage is x = 412. T = 683 j = 300 Wattage | 1756 512 482 450 215 Sx = 611.2 Lumen 655 190 99 312 249 Sy = 212.9
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.
![Find the regression line for the data below, given that r =
0.89, and predict the lumen when
wattage is x =
412.
Wattage
1756
512
482
450
215
* = 683
Sx
611.2
Lumen
655
190
99
312
249
300
Sy
212.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4098b557-bd48-4816-9431-a300053a2d08%2F9c87cf15-04c6-4421-ac97-069cdbece131%2Fx362erf_processed.png&w=3840&q=75)
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