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3 years ago

What is the correlation coefficient for the data shown in the table?

Mathematics

2 answers:

Leviafan [203]3 years ago

7 0

we know that

<u>The correlation coefficient</u> is a number between $-1$ and $+1$ that represent the linear dependence of two variables or sets of data

Using the function CORREL in a excel tool, calculate the correlation coefficient (r)

see the attached table

the correlation coefficient for the data in the table is equal to $1$

therefore

<u>the answer is</u>

$r=1$

Sveta_85 [38]3 years ago

4 0

Answer:

A. 1

Step-by-step explanation:

Got it correct, Edge2020.

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Data on IQ for 33 first graders are given as follows: 82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 11

Dahasolnce [82]

Answer:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

$E(\bar X) = E(\frac{\sum_{i=1}^n x_i}{n})= \frac{1}{n} \sum_{i=1}^n E(X_i) = \frac{n\mu}{n} = \mu$

Step-by-step explanation:

For this case we have the following values given:

82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 113, 115, 115, 118, 118, 119, 121, 122, 122, 127, 132, 136, 140, 146

And we want to estimate the mean value of IQ for the conceptual population.

For this case we can use as estimator for the population mean the sample mean. We know that the sample mean is given by this formula:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

$E(\bar X) = E(\frac{\sum_{i=1}^n x_i}{n})= \frac{1}{n} \sum_{i=1}^n E(X_i) = \frac{n\mu}{n} = \mu$

5 0

3 years ago

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total

Rina8888 [55]

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be $2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9$ .

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area $\pi r^2$ . Together, they have area $2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9$ . Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

6 0

3 years ago

A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian

Vladimir79 [104]

Answer:66

Step-by-step explanation: 66 Diners promised to participate

1,013 is what each restaurant would donate

947 + x = 683 + 5x

-683 -683

264 + x = 5x

- x -x

264 = 4x

Divide 264 by 4 = 66

4 0

3 years ago

What is the formula of (2x+3y)²

zhannawk [14.2K]

Answer:

4x²+12xy+9y²

(2x+3y)²

=(2x+3y)*(2x+3y)

2x *2x , 2x *3y , 3y* 2x ,3y* 3y

=4x²+12xy+9y²

6 0

2 years ago

Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.

maks197457 [2]

Step-by-step explanation:

At least 30 miles but less than 50 miles each week.

<u>Required inequality:</u>

30 ≤ x < 50

<u>In 4 weeks:</u>

120 ≤ 4x < 200

"At least" means equal or more than 30, hence 30 ≤ x
Less than 50, hence x < 50

At least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.

<u>Match the lowest and highest ends. This is converted as:</u>

8*$2.25 ≤ m ≤ 12*$2.50

<u>Simplified:</u>

$18 ≤ m ≤ $30

4 0

3 years ago