Luis is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. Brightness Level (x) Hours (y) 31 33 43 76 81 85 91 95 4.6 3.2 5.6 2.9 3.1 3.1 2 8+ 7- 6 5- 4- 2 10 20 30 40 50 60 70 80 90 100 11 -1- Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. O Luis should expect -0.0331 hours per brightness level. O Luis should expect -0.0331 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 43? hours SINOH
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.
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