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?\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|\n a = 0.4 and b = -0.15\n a = -0.4 and b = 0.15\n a = 8.6 and b = 14.25\n a = -8.6 and b = -14.25

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?\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|\n a = 0.4 and b = -0.15\n a = -0.4 and b = 0.15\n a = 8.6 and b = 14.25\n a = -8.6 and b = -14.25

Answer

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate value of a

When (x = 3), Given (=4.1), Predicted ( = 4.5). So (a=4.1 - 4.5=- 0.4)

Step3: Calculate value of b

When (x = 4), Given (=7.2), Predicted (=7.05). So (b=7.2 - 7.05 = 0.15)

Answer:

a = -0.4 and b = 0.15