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? 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 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? 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 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: Find value of a

Substitute $x = 3$ into $y=1.82x - 4.3$. $y=1.82\times3 - 4.3=5.46 - 4.3 = 1.16$

Step2: Find value of b

Residual = Given - Predicted. So $b=3.1 - 2.98=0.12$

Answer:

$a = 1.16$ and $b = 0.12$