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 a 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.
(1 point)
Responses
0.014
0.014
0.989
0.989
0.075
0.075
negative 0.977
To find the correlation coefficient, we can use the calculator's statistics functions.
First, enter the years into List 1 and the corresponding heights into List 2.
Next, calculate the correlation coefficient by following these steps:
1. Press the "STAT" button on the calculator.
2. Press the right arrow key to select the "CALC" menu.
3. Press "1: 1-Var Stats" to perform a one-variable statistics calculation.
4. Enter the list number for List 1 (where the years are stored), followed by the comma key.
5. Enter the list number for List 2 (where the heights are stored), followed by the comma key.
6. Press "ENTER".
The calculator will display various statistical measures, including the correlation coefficient (r).
In this case, the correlation coefficient is 0.989. Rounding to the nearest thousandth, the answer is 0.989.
Therefore, the correct answer is: 0.989.