The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern
X Given Predicted Residual value
1 3.5 4.06 -0.56
2 2.3 2.09 0.21
3 1.1 0.12 0.98
4 2.2 -1.85 4.05
5 -4.1 -3.82 -0.28
The residual value is calculated as follows using this formula: ( Given - predicted )
1) ( 3.5 - 4.06 ) = -0.56
2) ( 2.3 - 2.09 ) = 0.21
3) ( 1.1 - 0.12 ) = 0.98
4) (2.2 - (-1.85) = 4.05
5) ( -4.1 - (-3.82) = -0.28
Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .
attached below is the residual plot of the data set
hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )
learn more about residual plots : brainly.com/question/16821224
Answer:
4+m=4m
Step-by-step explanation:
Because 4 plus m is 4m
Answer:
$403.15
Step-by-step explanation:
Principal loan amount is the total amount minus down-payment:
Knowing that 
, the monthly payments can be calculated using the formula:
![M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15](https://tex.z-dn.net/?f=M%3DP%5B%5Cfrac%7Br%281%2Br%29%5En%7D%7B%281%2Br%29%5En-1%7D%5D%5C%5C%5C%5C%3D23000%5Cfrac%7B%280.006658%281.006658%29%5E%7B72%7D%7D%7B1.006658%5E%7B72%7D-1%7D%5C%5C%5C%5C%3D403.15)
Hence, the monthly payment is $403.15
Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
The gross profit margin is calculated using the following rule:
gross profit margin = total profit / total sales
Now, we need to get the values of total profit and total sale:
total profit = <span>9*8-(40+8)=24$
total sales = 9*8 = 72$
Now, we will substitute in the above equation:
gross profit margin = 24/72 = 1/3 = 0.3333334
% = 0.33333334*100 = 33.3334%</span>
