What is the regression equation based on the following?: {(4,2),(1,3),(2,3),(4,6),(6,7)}

1 Answer
Trevor Ryan.
Jan 10, 2016

#y=0.76316x+1.60526#

Explanation:

Inputting these values into a calculator in double stat mode (linear regression mode) yields :

y-intercept : #a=1.60526#.

gradient : #b=0.76316#.

coefficient of correlation : #r=0.68621#.

Hence the equation of the least squares line of best fit through all the data points is given by

#y=0.76316x+1.60526#.

Graphically :

graph{0.76316x+1.60526 [-5.62, 14.38, -2.28, 7.72]}

Since #r# is not that close to #1#, it implies that a linear fit is not a very good approximation for this data and lots of actual data points will lie very far off the least squares line of best fit.

Related questions
See all questions in Least Squares Regression Line (LSRL)
Impact of this question
1428 views around the world
You can reuse this answer
Creative Commons License