Final answer:
The linear regression equation for the points (-2.2), (0.1), and (3.1) is y = 0.0455x + 0.1.
Step-by-step explanation:
The linear regression equation for the points (-2.2), (0.1), and (3.1) can be found by using the formula for the line of best fit. The equation is generally represented as y = mx + b, where m is the slope and b is the y-intercept. To find the equation, we need to calculate the values of m and b using the given points.
- Using the formula m = (y2 - y1) / (x2 - x1), we can calculate the slope as m = (0.1 - (-2.2)) / (0 - (-2.2)) = 0.1 / 2.2 = 0.0455.
- Next, we can use the formula b = y - mx with any of the given points. Let's use the point (0.1): b = 0.1 - 0.0455 * 0 = 0.1.
Therefore, the linear regression equation for the points (-2.2), (0.1), and (3.1) is y = 0.0455x + 0.1.