for questions 3-4, use your calculator to create a scatter plot and line of best fit for the following set of data:
average height of species of tree (in feet) after a certain number of years
years : 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
height : 2.1 | 3.2 | 6.8 | 7.3 | 11.2 | 12.6 | 13.4 | 15.9 |
what is the correlation coefficient for the set of data ? round your answer to the nearest thousandth .
To find the correlation coefficient for the set of data, follow these steps:
1. Enter the given data points into your calculator.
Years (x): 1, 2, 3, 4, 5, 6, 7, 8
Height (y): 2.1, 3.2, 6.8, 7.3, 11.2, 12.6, 13.4, 15.9
2. Create a scatter plot by going to the plot or graphing function on your calculator. Plot the points with x being the independent variable (years) and y being the dependent variable (height).
3. After plotting the points, find the line of best fit on your calculator. The method to find this line may vary depending on the calculator model, but most calculators have a linear regression function that can calculate it. Refer to your calculator's user manual or online resources for more information.
4. The correlation coefficient is often denoted by the symbol r. Once you have found the line of best fit, the correlation coefficient will be displayed on your calculator as r or r-value. Round the value to the nearest thousandth.
Plug in the given values into your calculator and compute the correlation coefficient. The result should be r = 0.977.