Question

using tools use the linear regression feature on a graphing calculator to find an equation of the line of best fit and correlation coefficient for the data. round all values to the nearest hundredth. the equation of the line of best fit of the data is y = . the correlation coefficient is r = . interpret the correlation coefficient. strong negative correlation weak negative correlation weak positive correlation strong positive correlation

Explanation:

Step1: Enter data into graphing calculator

Enter the x - and y - values from the scatter - plot into the graphing calculator's list editor.

Step2: Perform linear regression

Use the linear regression feature (usually labeled as LinReg) on the graphing calculator. It will calculate the slope $m$ and y - intercept $b$ of the line of best fit in the form $y=mx + b$ and the correlation coefficient $r$.

Step3: Interpret correlation coefficient

If $r$ is close to 1, it is a strong positive correlation. If $r$ is close to - 1, it is a strong negative correlation. If $r$ is close to 0, it is a weak correlation.

Answer:

The equation of the line of best fit of the data is $y = mx + b$ (values of $m$ and $b$ obtained from calculator, rounded to nearest hundredth).
The correlation coefficient is $r$ (value obtained from calculator, rounded to nearest hundredth).
Interpret the correlation coefficient:
If $r\approx1$, strong positive correlation.
If $r\approx - 1$, strong negative correlation.
If $0If $-0.5 < r<0$, weak negative correlation.