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melamori03 [73]
3 years ago
7

What is the SST for the data set (1,5), (2,9), (4,10)

Mathematics
2 answers:
lianna [129]3 years ago
3 0
I think that the answer is (4,10). hope it helped :)
Bad White [126]3 years ago
3 0

Answer:

14

Step-by-step explanation:

SST = ∑ ( y − ȳ ) ² (ȳ = pronounced y bar is the mean of y values)

ȳ = (5+9+10)/3 = 24/3 = 8

∑ ( y − ȳ ) ² =  ( 5 − 8 ) ² +  ( 9 − 8 ) ² +  ( 10 − 8 ) ²

=  (  − 3 ) ² +  (  1 ) ² +  ( 2 ) ²

= 9 + 1 + 4

= 14

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
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Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

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Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

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∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

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∴ 5c = [5(2.4) , 5(0.45)]

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# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

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∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

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* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

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Can someone help me with this
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