Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points. $( - 4 , - 1 ) , ( - 2,0 ) , ( 2,4 ) , ( 4,5 )$
A) $y = 1.8 x + 5$
B) $y = 1.2 x + 2$
C) $y = 0.5 x + 1$
D) $y = 0.8 x + 2$
E) $y = 0.2 x + 1$

Question

Quizplus · Accepted Answer

Using a graphing utility or spreadsheet to perform a linear regression analysis on the given points, the least squares regression line is found to be $y = 0.8x + 2$, which matches option D. This line best fits the data points provided, minimizing the sum of the squares of the vertical distances of the points from the line.

Use the Regression Capabilities of a Graphing Utility or a Spreadsheet