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

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 )

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 )

Answer

Explanation:

Step1: Recall the formula for residual

Residual = Given - Predicted.

Step2: Calculate the value of (a)

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

Step3: Calculate the 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), so the answer is (a=-0.4) and (b = 0.15) (the second option).