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.\nwhat are the values of a and b?\no a = 0.4 and b = -0.15\no a = -0.4 and b = 0.15\no a = 8.6 and b = 14.25\no a = -8.6 and b = -14.25\n\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.\nwhat are the values of a and b?\no a = 0.4 and b = -0.15\no a = -0.4 and b = 0.15\no a = 8.6 and b = 14.25\no a = -8.6 and b = -14.25\n\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). Residual (a=4.1 - 4.5=- 0.4)

Step3: Calculate value of b

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

Answer:

a = -0.4 and b = 0.15