7.4. Linear Regression Equations http://www.ck12.org
d. From the calculator, the equation of the line of best fit is approximatelyy=− 0. 36 x+ 52 .6, whereyrepresents
the fuel efficiency of the car andxrepresents the speed of the car.
Using this equation:
y=− 0. 36 x+ 52. 6
29 =− 0. 36 x+ 52. 6
29 − 52. 6 =− 0. 36 x+ 52. 6 − 52. 6
− 23. 6
− 0. 36=
− 0. 36 x
− 0. 36
65 .6 m/h=xThe speed of the car would be approximately 65.6 miles per hour.
Practice
- Which of the following calculations will create the line of best fit on the TI-83?
a. quadratic regression
b. cubic regression
c. exponential regression
d. linear regression(ax+b)
The linear regression below was performed on a data set with a TI calculator. Use the information shown on the
screen to answer the following questions:
- What is the linear regression equation?
- What is the correlation coefficient and the coefficient of determination? Is the linear regression equation a
good fit for the data? - According to the linear regression equation, what would be the approximate value ofywhenx= 3?