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S_A_V [24]
4 years ago
13

Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results

are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9

Mathematics
1 answer:
marin [14]4 years ago
6 0

Answer:

Option B

Step-by-step explanation:

Taking the derivative of the residual function, then applying the normal equation:

[a; b] = (X'*X)^(X'*y)

with

X = [1 1; 2 1; 3 1; 4 1; 5 1]

X' is transpose of X

y = [11; 8; 4; 1; 0]

[a; b] =  [-2.9 13.5]

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63 squared × 300090​
Iteru [2.4K]

Answer:

1191057210

Step-by-step explanation:

Reorder the terms

Evaluate the power

Multiply the numbers

8 0
3 years ago
Read 2 more answers
Paddy and Anna each invest $2000 for 5 years.
Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = P(1+rt)

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125

Formula to compute compound amount : P(1+r)^t

=2000(1+r)^5

When both have same worth then

2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625

taking log on both sides , we get

5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%

Hence, Value of r= 1.22

6 0
3 years ago
What us the midpoint of A(-8,2) and B(4,-2)​
marusya05 [52]

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

=\sqrt{(9 - 3)^2 + (2 - 7)^2}

=\sqrt{(6)^2 + (-5)^2}

=\sqrt{36 + 25}

=\sqrt{61}

=7.8 unit

4 0
3 years ago
Find the midpoint of the segment with the given endpoints ​(-​5,-9​) and ​(​-9,-3​)
meriva

Answer:

(-7,-6)

Step-by-step explanation:

x =  \frac{ -5 - 9}{2}  =   - 7 \\  \\ y =  \frac{  - 9 - 3}{2}  =  - 6 \\

7 0
3 years ago
DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISM
Anna71 [15]

Answer:

837.23 cm³

Step-by-step explanation:

La fórmula para el volumen de un prisma pentagonal se da como:

1/2 (5 s × a) × h

Dónde:

s = longitud lateral

a = Apotema

h = altura

De la pregunta anterior:

s = largo de lado = 6.1 cm

a = Apotema = 4.5 cm

h = Altura = 12.5 cm

Por lo tanto:

El volumen del prisma pentagonal =

1/2 (5 × 6.1 × 4.5) × 12.5

= 1/2 × 137.25 × 12.5

= 837.225 cm³

Aproximadamente = 837.23 cm³

4 0
3 years ago
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