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?\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|\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

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?\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|\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

Answer

Answer:

a = 1.16 and b = 0.12

Explanation:

Step1: Calculate 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: Calculate value of b

Residual = Given - Predicted. Given x = 4, Given value = 3.1, Predicted value = 2.98. $b=3.1 - 2.98=0.12$