The Khan family is constructing a backyard and needs your help with a design that will fit their budget. The backyard is in the
shape of a rectangle. They need to place a new layer of grass to cover their backyard, and they would like to build a circular pool with a surrounding deck (also circular). The pool is also 2 meters in height. Once the pool has been installed they need to paint the outside surface with a special material to protect the pool from rust. Their budget for this renovation is $9000.
The cost for each part of their renovation is as follows:
$5000 to install the pool
$2.20 per meter squared to layer the backyard with grass
$4.75 per meter squared to install the deck
$6.15 per meter squared to paint the outside surface of the pool with a special material
Your task: Design a backyard using your own dimensions that will meet the Khan family budget. Ensure your dimensions are realistic and accurate.
What is the capacity of the pool in L? (1 meter cubed = 1000L)
Here's what the backyard looks like:
The cost for each part of their renovation is as follows:
$5000 to install the pool
$2.20 per meter squared to layer the backyard with grass
$4.75 per meter squared to install the deck
$6.15 per meter squared to paint the outside surface of the pool with a special material
Your task: Design a backyard using your own dimensions that will meet the Khan family budget. Ensure your dimensions are realistic and accurate.
What is the capacity of the pool in L? (1 meter cubed = 1000L)
Here's what the backyard looks like:
2 answers:
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Answer:
a)
Price=150.414-16.626 Age
b)
$34.032
c)
We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model
Step-by-step explanation:
Age(X) Price(Y)
8 18
3 94
6 50
9 21
2 145
5 42
6 36
3 99
a)
The regression equation can be written as
y=a+bx
a=ybar-bxbar
xbar=sumx/n
xbar=(8+3+6+9+2+5+6+3)/8=5.25
ybar=sumy/n
ybar=(18+94+50+21+145+42+36+99)/8=63.125
x y x-xbar y-ybar (x-xbar)^2 (x-xbar)(y-ybar)
8 18 2.75 -45.125 7.5625 -124.09375
3 94 -2.25 30.875 5.0625 -69.46875
6 50 0.75 -13.125 0.5625 -9.84375
9 21 3.75 -42.125 14.0625 -157.96875
2 145 -3.25 81.875 10.5625 -266.09375
5 42 -0.25 -21.125 0.0625 5.28125
6 36 0.75 -27.125 0.5625 -20.34375
3 99 -2.25 35.875 5.0625 -80.71875
Total 43.5 -723.25
b=-723.25/43.5
b=-16.626
a=ybar-bxbar
a=63.125-(16.626)*5.25
a=150.414
Thus, the required regression equation is
y=150.414-16.626 x
Price=150.414-16.626 Age
b)
For predicting price of 7 years old car we put x=7 in the estimated regression equation
y=150.414-16.626 x
y=150.414-16.626(7)
y=150.414-116.382
y=34.032
The predicted price of a 7 year old car is $34.032.
c)
We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model. The estimate of price is only valid for 2 to 9 year old car.
3x - 5 = 2 Add 5 to both sides
3x = 7 Divide both sides by 3
x =
The answer is B. .
3x = 7 Divide both sides by 3
x =
The answer is B.