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Sidana [21]
3 years ago
7

Suppose a​ least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293y=4.302x−3.293. what

is the mean value of the response variable if x equals 20x=20
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

We are given the following relation:

y = 4.302 x – 3.293

To solve for the mean value of y when x = 20, what we have to do is to find for the value of y at x = 20 and the value of y at x = 0. Then we get the average of the two values.

when x = 0

y(0) = 4.302 (0) – 3.293

y(0) = - 3.293

 

when x = 20

y(20) = 4.302 (20) – 3.293

y(20) = 82.747

 

The mean value would be:

mean y = [y(20) + y(0)] / [20 + 0]

mean y = [82.747 + (-3.293)] / 20

<span>mean y = 3.9727 = 3.97</span>

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16. Emily bought 48 yards of fabric to make curtains. How many inches of<br> fabric did Emily buy?
USPshnik [31]

Answer:

1728 inches

Explanation:

There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:

48 yards * 3 = 144 feet

144 ft * 12 = 1728 inches

Emily bought 1728 inches.

7 0
3 years ago
Read 2 more answers
A 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec. What is the rate that the tip of the pers
Dovator [93]

Answer:

9.56 ft/sec

Step-by-step explanation:

We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.

I've attached an image showing  triangle that depicts this;

Thus; dx/dt = 3.4 ft/sec

From the attached image and using principle of similar triangles, we can say that;

9/y = 5.8/(y - x)

9(y - x) = 5.8y

9y - 9x = 5.8y

9y - 5.8y = 9x

3.2y = 9x

y = 9x/3.2

dy/dx = 9/3.2

Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;

dy/dt = dy/dx × dx/dt

dy/dt = (9/3.2) × 3.4

dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec

5 0
3 years ago
Is this correct?? :)
dimaraw [331]
No it not correct because you had forgot to  divide +5 form -2 and that will give you it will be 2.5 but in fraction form it will be -2 1/2
6 0
3 years ago
1/7 divided by 20/21
Sedbober [7]

Answer: 3/20

Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20

7 0
3 years ago
Identify the angle between 0 and 360 degrees that is coterminal with the
Andrei [34K]

Answer:

option 2

Step-by-step explanation:

By repeatedly subtracting 360° from the given angle.

1155° - 360° = 795°

795° - 360° = 435°

435° - 360° = 75° ← coterminal angle

4 0
3 years ago
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