The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
<h3>What is residual value?</h3>
The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.
Points and their residual values are shown in the table. A 3-column table with 5 rows.
- x 1, 2, 3, 4, 5.
- y 2, 3.5, 5, 6.1, 8.
- Residual Value -0.4, 0.7, -0.2, -0.6 0
The simple regression line can be represented as,
Here α is the constant, β is the slope and <em>e </em>is the residue.
The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.
Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
Learn more about the residual value here;
brainly.com/question/1168961
Step-by-step explanation:
- 1⅔ < -¼
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Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
Answer:
Radius: 7.5 cm ; Diameter: 15 cm
Step-by-step explanation:
The radius of a circle is basically the middle "halfway" point and in this case, it has already been given, 7.5 cm. The diameter is the middle line of the circle and to find the diameter, you must multiply the radius by 2, which is essentially 7.5 cm*2, and this gives you a diameter of 15 cm.
Hope this helps! :D
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as 
and we have to find the extraneous solution of the equation.
Now, ............. (1)
⇒ 
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,
Again, putting x = 7 in the equation (1) we get,
Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)
