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.\nwhich represents the missing values of a and b?\no a = 1.16 and b = 0.12\no a = 1.16 and b = -0.12\no a = 0.5 and b = 6.08\no a = 0.5 and b = -6.08\n\n|x| given | predicted | residual|\n|----|----|----|----|\n|1| -2.3| -2.48| 0.18|\n|2| -0.9| -0.66| -0.24|\n|3| 1.1| a| -0.06|\n|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.\nwhich represents the missing values of a and b?\no a = 1.16 and b = 0.12\no a = 1.16 and b = -0.12\no a = 0.5 and b = 6.08\no a = 0.5 and b = -6.08\n\n|x| given | predicted | residual|\n|----|----|----|----|\n|1| -2.3| -2.48| 0.18|\n|2| -0.9| -0.66| -0.24|\n|3| 1.1| a| -0.06|\n|4| 3.1| 2.98| b|

Answer

Explanation:

Step1: Find the value of a

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

Step2: Find the value of b

The residual is calculated as Residual=Given - Predicted. Given $x = 4$, the given value is $3.1$ and the predicted value is $2.98$. Residual $b=3.1 - 2.98$ $b = 0.12$

Answer:

a = 1.16 and b = 0.12