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adoni [48]
3 years ago
13

Which of the following equations best represents the regression line for the data given in the table above?

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

B. y = 3x - 2

Step-by-step explanation:

A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0

Form a table as shown

x          y        xy           x²         y²

1           4         4            1          16

2           1          2           4          1

3           5         15          9        25

4           10        40        16        100

5           16        80        25      256

6            19        114       36       361

7            15        105       49      225

28          70       360      140     984 ------sum

From the table;

n=7 ---number of data points

∑x = 28

∑y=70

∑xy =360

∑x² =140

∑y² = 984

Applying equations for A and B

A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

A=(70)(140) - (28)(360) / 7(140)-(28²)

A=9800 - 10080 / 980-784

A= -280 /196

A= -1.43

B= n(∑xy)-(∑x)(∑y)  / n(∑x²)-(∑x)²

B=7(360)-(28)(70) / 7(140) - (28²)

B=2520-1960 /980-784

B=560/196

B=2.86

The equation will be;

Y=A+Bx

Y=-1.43+2.86x

Y=2.86x-1.43

Learn More

Regression line : brainly.com/question/12280902

Keywords : equations, regression line, data, table

#LearnwithBrainly

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I need help on this, if anyone knows how to do this can you help me out pls
ASHA 777 [7]
<h3>Answer:  (3, 0)</h3>

=================================================

Explanation:

Let's isolate x in the first equation.

x-2y = 3

x = 3+2y

Then we'll plug this into the second equation

Afterwards, solve for y.

2x + 4y = 6

2(3+2y)+4y = 6

6+4y+4y = 6

8y+6 = 6

8y = 6-6

8y = 0

y = 0/8

y = 0

Use this to find x.

x = 3+2y

x = 3+2(0)

x = 3

The solution is therefore (x,y) = (3, 0)

If you were to graph both lines, then they would intersect at the location (3,0).

-----------------------------

Checking the answer:

Plug x = 3 and y = 0 into the first equation.

x-2y = 3

3-2(0) = 3

3 - 0 = 3

3 = 3 that works

Repeat for the other equation

2x+4y = 6

2(3) + 4(0) = 6

6 + 0 = 6

6 = 6 that works as well

Both equations are true when (x,y) = (3,0).

The solution is confirmed.

6 0
3 years ago
Please answer asap, I really need help and will medal/ upvote!
Taya2010 [7]

Hey! The correct answer is 55.

3 0
3 years ago
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Danielle wants to divide her square garden in half diagonally. If each side of the garden is 18 feet, what is the length of the
bija089 [108]

Answer:

25.46

Step-by-step explanation:

Use the pythagorean thereom.

18^2 + 18^2 = c^2

324 + 324 = c^2

648 = c^2

√648 = c

c ≈ 25.46




3 0
3 years ago
Adding and subtracting fractions with different denominators :D
Korolek [52]

Answer:

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1/3 = 1×2/3×2 = 2/6

1/2 = 1×3/2×3 = 3/6

then subtract 3-2/6 = 1/6 this is subtraction

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6 0
2 years ago
What is the percent increase in the surface area of the AAA battery to the AA battery? Round your answer to the nearest tenth of
Bogdan [553]

Answer:

101.1%

Step-by-step explanation:

The two batteries are in the shape of cylinder.

The total surface area of a cylinder

SA = (2πr^2 + 2πrh ) =

For AAA battery

h = 0.8mm

r = 1.9 mm

SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )

SA = 22.68 + 9.55

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For AA battery

h = 1 mm

r = 2.75 mm

SA = (2π(2.75)^2 + 2π×2.75× 1 )

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SA = 64.80 mm^2

Increase in SA = 64.80 - 32.23

Increase in SA = 32.57

% increase = increase in SA/AAA × 100

% increase in SA = 32.57/32.23 × 100

% increase in SA = 101.1%

4 0
3 years ago
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