Question

this data is represented by a scatter plot with the function c(x)=21.42x - 15.08 fit to the data, where c represents the total cost of the order and x represents the number of meals ordered. for questions 1 through 5, complete the tables to find the residual values for each number of meals ordered. 1. number of meals ordered actual cost predicted cost residual values 1 $12 1 $9 2. number of meals ordered actual cost predicted cost residual values 2 $21 2 $25 2 $28

Explanation:

Step1: Recall residual formula

Residual = Actual - Predicted. The cost - prediction function is $c(x)=21.42x - 15.08$.

Step2: Calculate predicted cost for $x = 1$

Substitute $x = 1$ into $c(x)$: $c(1)=21.42\times1-15.08=6.34$.
For the first row where actual cost is $\$12$, residual is $12 - 6.34 = 5.66$. For the second row where actual cost is $\$9$, residual is $9 - 6.34 = 2.66$.

Step3: Calculate predicted cost for $x = 2$

Substitute $x = 2$ into $c(x)$: $c(2)=21.42\times2-15.08=42.84 - 15.08 = 27.76$.
For the first row where actual cost is $\$21$, residual is $21 - 27.76=- 6.76$. For the second row where actual cost is $\$25$, residual is $25 - 27.76=-2.76$. For the third row where actual cost is $\$28$, residual is $28 - 27.76 = 0.24$.

Answer:

Number of Meals ordered	Actual Cost	Predicted Cost	Residual Values
1	$\$9$	$\$6.34$	$\$2.66$
2	$\$21$	$\$27.76$	$-\$6.76$
2	$\$25$	$\$27.76$	$-\$2.76$
2	$\$28$	$\$27.76$	$\$0.24$