shanti wrote the predicted values for a data set using the line of best fit y = 2.55x - 3.15. she computed…

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\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|-0.7|-0.6|-0.1|\n|2|2.3|1.95|0.35|\n|3|4.1|4.5|a|\n|4|7.2|7.05|b|

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\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|-0.7|-0.6|-0.1|\n|2|2.3|1.95|0.35|\n|3|4.1|4.5|a|\n|4|7.2|7.05|b|

Answer

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate value of a

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

Step3: Calculate value of b

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

Answer:

a = -0.4 and b = 0.15