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

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 x given predicted residual 1 -2.3 -2.48 0.18 2 -0.9 -0.66 -0.24 3 1.1 a -0.06 4 3.1 2.98 b

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 x given predicted residual 1 -2.3 -2.48 0.18 2 -0.9 -0.66 -0.24 3 1.1 a -0.06 4 3.1 2.98 b

Answer

Explanation:

Step1: Find value of a

Use the line - of - best - fit formula $y = 1.82x-4.3$. When $x = 3$, substitute $x$ into the formula: $y=1.82\times3 - 4.3$. $y = 5.46-4.3=1.16$. So $a = 1.16$.

Step2: Find value of b

The residual is calculated as Residual=Given - Predicted. When $x = 4$, Given = 3.1 and Predicted = 2.98. Then $b=3.1 - 2.98 = 0.12$.

Answer:

a = 1.16 and b = 0.12