Y axis is counting by 2's
it started at 2 and went up to 6
Y = 4
X axis is counting by 2'2
starts at one goes to 3
X = 2
Slope is 4/2 because rise over run
4/2 = 2
Slope is simplified to 2.
Combine like terms and use inverse operations
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
By the general application of cumulative property of addition :
x + y = y + x
For sure
The least square regression equation for the information provided is y = 9.72x - 40.776
<u>The general equation of a regression model can be expressed thus</u>:
Calculating slope, b :
- b = 0.81(177.6 / 14.8) = 9.72
<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :
696 = 9.72(75.8) + c
696 = 736.776 + c
c = 696 - 736.776
c = - 40.776
Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776
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