2 3 4 y 784 815 805 837 843 893 Use exponential regression to find an exponential function that best fits these data. Round all values to the hundredths. f(z) = Use linear regression to find a linear function that best fits these data. Round all values to the hundredths. g(a) = Of these two, which equation best fits the data? O Exponential O Linear
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.
a)
Use the given table to form the excel table:
| x | y | ||||
| 1 | 784 | 6.66440902 | 1 | 6.66440902 | |
| 2 | 815 | 6.703188113 | 4 | 13.40637623 | |
| 3 | 805 | 6.690842277 | 9 | 20.07252683 | |
| 4 | 837 | 6.72982407 | 16 | 26.91929628 | |
| 5 | 843 | 6.736966958 | 25 | 33.68483479 | |
| 6 | 893 | 6.794586581 | 36 | 40.76751949 | |
| Sum | 21 | 4977 | 40.31981702 | 91 | 141.5149626 |
The exponential function for best fit for the data is given as f(x) = a*bx.
Use the table to determine the value of a and b using the formula:
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