Question

shanti wrote the predicted values for a data set using the line of best fit y = 2.55x - 3.15. she computed two of the residual values. what are the values of a and b? a = 0.4 and b = -0.15 a = -0.4 and b = 0.15 a = 8.6 and b = 14.25 a = -8.6 and b = -14.25 x given predicted residual 1 -0.7 -0.6 -0.1 2 2.3 1.95 0.35 3 4.1 4.5 a 4 7.2 7.05 b

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate value of a

For x = 3, Given = 4.1, Predicted = 4.5. So, $a=4.1 - 4.5=-0.4$

Step3: Calculate value of b

For x = 4, Given = 7.2, Predicted = 7.05. So, $b=7.2 - 7.05 = 0.15$

Answer:

a = -0.4 and b = 0.15