he table below shows the number C of Crayola colors available t years after 1900. t = years since 1900 C = number of colors 3 8 49 48 58 64 72 72 90 80 98 120 103 120 (a) Find the equation of the regression line for C as a function of t. (Round regression line parameters to two decimal places.) C(t) = (b) How many Crayola colors does the regression line indicate for 1993? (Round your answer to the nearest whole number. Note that the actual number is 96.)
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.
The table below shows the number C of Crayola colors available t years after 1900.
| t = years since 1900 | C = number of colors |
|---|---|
| 3 | 8 |
| 49 | 48 |
| 58 | 64 |
| 72 | 72 |
| 90 | 80 |
| 98 | 120 |
| 103 | 120 |
(b) How many Crayola colors does the regression line indicate for 1993? (Round your answer to the nearest whole number. Note that the actual number is 96.)
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