miguel wrote the predicted and residual values for a data set using the line of best fit ( y = 1.82x - 4.3…

miguel wrote the predicted and residual values for a data set using the line of best fit ( y = 1.82x - 4.3 ). he left out two of the values. which represents the missing values of a and b? ( a = 1.16 ) and ( b = 0.12 ) ( a = 1.16 ) and ( b = - 0.12 ) ( a = 0.5 ) and ( b = 6.08 ) ( a = 0.5 ) and ( b = - 6.08 )

miguel wrote the predicted and residual values for a data set using the line of best fit ( y = 1.82x - 4.3 ). he left out two of the values. which represents the missing values of a and b? ( a = 1.16 ) and ( b = 0.12 ) ( a = 1.16 ) and ( b = - 0.12 ) ( a = 0.5 ) and ( b = 6.08 ) ( a = 0.5 ) and ( b = - 6.08 )

Answer

Explanation:

Step1: Calculate the value of (a)

The formula for the residual is (Residual = Given - Predicted). Rearranging it gives (Predicted=Given - Residual). When (x = 3), (Given = 1.1) and (Residual=- 0.06). So (a=1.1-(-0.06)=1.1 + 0.06 = 1.16).

Step2: Calculate the value of (b)

Using the formula (Residual = Given - Predicted). When (x = 4), (Given = 3.1) and (Predicted = 2.98). So (b=3.1 - 2.98=0.12).

Answer:

(a = 1.16) and (b = 0.12) (Option 1)