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earnstyle [38]
3 years ago
12

A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this c

ase?
A. -2.215
B. 2.215
C. 4.215
D. -4.215
Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer: A. - 2.215

Step-by-step explanation:

• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.

\text{Residual=Actual value of y -predicted value of y}\\\\\Rightarrow\text{Residual}=32-34.215\\\\\Rightarrow\text{Residual}=-2.215

Hence, the residual in this case = -2.215

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Problem in image. Explain it too.
alexandr1967 [171]

\sqrt{40}  = 6.32\\\\\\or\\5\sqrt{15} \\\\

this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.

-------------- try the next problem, and if you don't understand, please reply back.

answer is for a) 5\sqrt{15}

5 0
3 years ago
A shop owner increases some prices by 50%.
Dahasolnce [82]
1.5 is correct answer
8 0
3 years ago
Which number is a solution to
charle [14.2K]

Answer:

B. -10

Step-by-step explanation:

4x + 5 > 7x + 35 \\  - 3x > 30 \\ 3x <  - 30 \\ x <  -  \frac{30}{3}  \\ x <  - 10

The first one has got a result different from -12 or -10

3 0
3 years ago
4x+9=41 x is equal to <br>​
Mariana [72]

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

<u>Subtract 9 from both sides of the equation.</u>

4x = 32

<u>Divide both sides of the equation by 4.</u>

x = 8

<u>x is equal to 8.</u>

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7 0
3 years ago
(05.07 MC)
Pavlova-9 [17]

Answer:

  0.65 square inch

Step-by-step explanation:

Each triangle has an area given by ...

  A = 1/2bh = 1/2·(0.5 in)(0.4 in) = 0.10 in²

The square base has an area given by ...

  A = s² = (0.5 in)² = 0.25 in²

The total area is that of the square base and 4 triangles:

  S = 0.25 in² + 4×0.10 in² = 0.65 in²

6 0
3 years ago
Read 2 more answers
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