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\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. 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\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

Answer:

a = 1.16 and b = 0.12

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: $y=1.82\times3 - 4.3=5.46 - 4.3 = 1.16$.

Step2: Find value of b

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