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3 years ago

Which of the following is a description of the data with a correlation coefficient of 1?

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

perfect negative correlation

Step-by-step explanation:

correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.

What will be the change : it suggest whether change in value of one variable other will be increase or decrease .

If there is increase in one variable and other also increases it suggest there is positive correlation .

If there is decrease in one variable and other also decrease it suggest there is positive correlation .

how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.

If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .

It values ranges from -1 to +1 high

while sign depicts type of relation that is positive or negative .

value from - 1 to + 1 depicts strength of the relation .

with - 1 depicting perfect negative correlation

+1 depicting perfect positive correlation.

In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.

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5(2n - 4) = 9(n + 2)

Wewaii [24]

1. Distribute
5(2n-4)
10n-20

9(n+2)
9n+18

10n-20=9n+18

2. Combine like terms
combine the terms with “n”, and then combine the other numbers.

Hope this helps!

8 0

3 years ago

Daily-high temperature measurements for 40 consecutive days are recorded for a particular city. The mean daily-high temperature

Vesnalui [34]

Answer:

$t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108$

$p_v =P(t_{39}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.

(D) P-val=0.021, fail to reject the null hypothesis

Step-by-step explanation:

1) Data given and notation

$\bar X=21.5$ represent the mean for the temperatures

$s=1.5$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =22$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 22C, the system of hypothesis would be:

Null hypothesis: $\mu \geq 22$

Alternative hypothesis: $\mu < 22$

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108$

P-value

We can calculate the degrees of freedom like this:

$df=n-1=40-1=39$

Since is a one left tailed test the p value would be:

$p_v =P(t_{39}$

Conclusion

The best option would be:

(D) P-val=0.021, fail to reject the null hypothesis

5 0

3 years ago

Perform the indicated operation.(7 - 11/) + (-3 + 5/)

den301095 [7]

Answer:

The correct answer is C. 4 -6

Step-by-step explanation:

Let's solve the operation given, this way:

(7 - 11/) + (-3 + 5/)

7 - 11 - 3 + 5=

12 - 14 = - 2

After resolving the parenthesis, adding and subtracting the result of thhe operation is - 2

The correct answer is C. 4 -6

4 0

3 years ago

What are the roots of this equation x^2-2x+3=0

zzz [600]

Step-by-step explanation:

hope it's help.

see answer attached

4 0

3 years ago

A monarchy has one leader how many terms do you think a monomial has

Sholpan [36]

I would think i has one term because the prefix "mono" means one

3 0

3 years ago

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