Answer:
ŷ = -0.18363X + 19.71681
-0.9685
Step-by-step explanation:
Given the data:
Mileage, x: 22 14 18 30 8 24
Price, y: 16 17 17 14 18 15
Using the online regression calculator :
The regression equation obtained is :
ŷ = -0.18363X + 19.71681
Where ;
y = predicted variable
- 0.18363 = slope or gradient
X = predictor variable
19.71681 = intercept
The correlation Coefficient R = -0.9685
This signifies a strong negative relationship between the x and y variable.
Answer: The answer is 10 inches.
Step-by-step explanation: Given that the area of a trapezoid is 50 square inches and the bases are 3 inches and 7 inches. We are to find the height of the trapezoid.
We know that the area of a trapezoid with height 'h' and bases 'a' inches and 'b' inches is given by
In the given question,
a = 3 inches, b = 7 inches, A = 50 square inches, h = ?
Therefore,
Thus, the required height is 10 inches.
Answer:
The solution to the system of equations be:
x = 2, y = 4
Step-by-step explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4
