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lbvjy [14]
3 years ago
15

Given the line of best fit for a data set of data points with the equation y=5x-2.5,what is the residual for the point (4,13)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

-4.5

Step-by-step explanation:

The predicted value from the model is calculated by substituting x with 4 in the regression equation;

y = 5(4) - 2.5

y = 17.5

The actual value when x is 4 is given as 13. The residual is simply the difference between the actual and the predicted value;

residual = actual value - predicted value

residual = 13 - 17.5

residual = -4.5

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Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the dist
seraphim [82]

Answer:

17.32m ; 110°

Step-by-step explanation:

Distance between X and Z

To calculate the distance between X and Z

y^2 = x^2 + z^2 - (2xz)*cosY

x = 20, Z = 10

y^2 = 20^2 + 10^2 - (2*20*10)* cos60°

y^2 = 400 + 100 - (400)* 0.5

y^2 = 500 - 200

y^2 = 300

y = sqrt(300)

y = 17.32m

Bearing of Z from X:

Using cosine rule :

Cos X = (y^2 + z^2 - x^2) / 2yz

Cos X = (300 + 100 - 400) / (2 * 20 '*10)

Cos X = 0 / 400

Cos X = 0

X = cos^-1 (0)

X = 90°

Bearing of Z from X

= 20° + X

= 20° + 90°

= 110°

3 0
3 years ago
Helpppppppppppppppppppp pleaseeeeeeeeeee
Umnica [9.8K]

Answer:

FG = 16

Step-by-step explanation:

if df bisects <edg then  triangles DFE and DFG are similar AAA

since DF is the same in both triangles triangles DFE and DFG are congruent

therefore FE = FG

n+5 = 2n-6

subtract n from each side

n-n+5 = 2n-6-n

5 = n-6

add 6 to each side

5+6 = n

n=11

FG  = 2n-6

      =2*11 -6

    = 22-6

   = 16


6 0
3 years ago
| 357,25235 divided by 7252 ​
Dmitriy789 [7]

4926.25965251

I used a calculator because it makes solving this much easier

3 0
3 years ago
10 points
Blababa [14]

Answer:

i think its A

Step-by-step explanation:

5 0
3 years ago
Which graph represents the solution set for the system 6x + y &gt; -3 and 2x + y ≤ 4?
VikaD [51]
This one.

The doubly-shaded area is the solution set. The dashed line is not included.

3 0
3 years ago
Read 2 more answers
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