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3 years ago

What are the r- values of the following data to three decimal places?

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer:

Option D. -0.901

Step-by-step explanation:

we know that

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1

Using a Excel tool (Correl function)

The value of coefficient r is -0.9006876

Round to three decimal places

r=-0.901

see the table attached

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M 2 = 2x°, m 3 = 5x°, m 1 = 2x + 5x 5x - 2x 180 - 5x 180 - 7x

MaRussiya [10]

We know: the sum of measures of triangle angles is 180°.

Therefore we have the equation

$m\angle1+m\angle2+m\angle3=180^o\to m\angle1=180^o-m\angle2-m\angle3$

Substitute $m\angle2=2x,\ m\angle3=5x$ :

$m\angle1=180-2x-5x=180-7x$

<h3>Answer: 180 - 7x</h3>

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3 years ago

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Simplify the expression: 6(20 + 1) =

Vanyuwa [196]

Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

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3 years ago

Laser scanning for fish volume estimation. engineers design tanks for rearing commercial fish to minimize both the use of natura

AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=240$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=4-1=3$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that $t_{\alpha/2}=5.84$