Answer:
ŷ = 0.1286X - 123.2175 ;
r = 0.947
r² = 0.896
Step-by-step explanation:
Given the data:
Traffic Flow, X : ____Vehicke speed ;Y()
1257 ______________36
1329 ______________45
1227 ______________30
1336 ______________50
1349 ______________55
1124 ______________ 25
The estimated regression equation using a linear regression calculator based on the data given above is given thus:
ŷ = 0.1286X - 123.2175
Where ;
y = dependent variable (vehicle speed)
x = predictor variable (traffic flow)
Slope = 0.1286
Intercept = 123.2175
The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.
A. 60°
b. 50°
c. y=75° x=30° or y=45° and x=60°
d. sadly, I don’t know how to do this one :((
Answer:
−x2 + 2x − 15 = x2+3 squared right triangle
Step-by-step explanation:
Answer:
Option C.
Step-by-step explanation:
Equation of the parent function graphed in the figure is,
G(x) = x²
By reflecting the parent function over the x-axis,
G'(x) = -x²
By shifting G'(x) by 2 units down over the y-axis,
f(x) = -x² - 2
Therefore, transformed form of the parent function will be
f(x) = -x² - 2
Therefore, Option C will be the answer.
Answer:
So quotient means that you're dividing, so put a ÷
Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷
Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.
This gives you: (x + 3)
When you put it all together, you get -8 ÷ (x + 3).
This can also be written as a fraction by putting -8 over (x+3)