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1 year ago

Explain what it means to have a correlation in a scatterplot.

Mathematics

2 answers:

Karo-lina-s [1.5K]1 year ago

3 0

Answer:

A correlation exists in a scatter plot if there is a general trend in the outputs as inputs increase. If the outputs generally increase in value, then there is a positive correlation. If the outputs generally decrease in value, then there is a negative correlation.

Kipish [7]1 year ago

3 0

Answer:Sample Response/Explanation: A correlation exists in a scatterplot if there is a general trend in the outputs as inputs increase. If the outputs generally increase in value, then there is a positive correlation. If the outputs generally decrease in value, then there is a negative correlation.

There is a general trend.

As inputs increase, outputs mostly increase or mostly decrease.

The trend is positive or negative.

Step-by-step explanation:

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In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

7 0

2 years ago

Read 2 more answers

Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a)How many

BigorU [14]

Answer:

a) 20 ways

b) 10 ways

Step-by-step explanation:

When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.

Part a)

We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2

General formula of permutations of n objects taken r at time is:

$nPr=\frac{n!}{(n-r)!}$

Using the value of n=5 and r=2, we get:

$5P2=\frac{5!}{(5-2)!} =20$

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.

Part b)

Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.

The general formula of combinations of n objects taken r at a time is:

$nCr=\frac{n!}{r!(n-r)!}$

Using the value of n=5 and r=2, we get:

$5C2=\frac{5!}{2!(5-2)!} =10$

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.

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2 years ago

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When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc

Sholpan [36]

Answer:

Hi There!

Answer:

The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Because, Arjun takes quantity of chocolate = 20 mL

Choice 1.

Arjun takes quantity of water = 33 ounces

The Chocolate to Water ratio is

Chocolate : Water = 20 : 33

Dividing by 20, We get

Chocolate : Water = 1 : 1.65

Choice 2.

Arjun add 1 ml of chocolate in 1.65 ounces of water.

Eli takes quantity of chocolate = 45 mL

Eli takes quantity of water = 66 ounces

The Chocolate to Water ratio is

Chocolate : Water = 45 : 66

Dividing by 45 , we get

Chocolate : Water = 1 : 1.47

Eli add 1 ml of chocolate in 1.47 ounces of water.

So, The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Good Luck!

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1 year ago

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be

riadik2000 [5.3K]

Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug the numbers in to find c, the length of your path! So
$\sqrt{{32}^{2} + {20}^{2}} = 37.7$

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1 year ago

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Answer:

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Step-by-step explanation:

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1 year ago

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