Help please due soon

WILL GIVE BRAINLY PLEASE HELP!!!!!!!

marta [7]

Answer:

r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X, Y

0.7, 1.11

21.9, 3.69

18, 4

16.7, 3.21

18, 3.7

13.8, 1.42

18, 4

13.8, 1.42

15.5, 3.92

16.7, 3.21

The correlation between the values is given by the relation

Y = b·X + a

$b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}$

$a = \dfrac{\sum Y - b\sum X}{N}$

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

$b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566$

$a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704$

$r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}$

$r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518$

r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

7 0

3 years ago

Compare and order 5.2, -5.6, 3 9/10, the square root of 21??

lara [203]

I would first suggest turning them all to one thing, like all decimals, or fractions. I chose decimals.

5.2, -5.6, 3.9, √21. To solve the square root, you have to simplify it. There is the square root of 3, times the square root of 7 which gets 21. These can't be simplified, so we can't simplify through that. But, the closest whole number that is a square root is 16. You can check by multiplying the same number together twice. Doing this will get you about 4.58

5.2, -5.6, 3.9, and ≈ 4.58. This is a simple ordering problem now.

It ends up as -5.6, 3 9/10, √21, 5.2

There are 2 decimals, one negative. There is one square root, and one mixed number. The square root is an infinite decimal when simplified

Hope this helps! ~Malachi

8 0

3 years ago

dave and his sister picked out two pumpkin at the pumpkin patch. the pumpkins cost $0.47 per pound. david's pumpkin weighed 13.2

pickupchik [31]

David's pumpkin cost $8.22
His sister's pumpkin cost $4.98
They paid $13.20

6 0

3 years ago

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