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Tpy6a [65]
3 years ago
11

For the following paired data, (1) Calculate the correlation coefficient, r, and (2) at the 0.05 significance level, determine w

hether there exists a linear correlation.x | 2 4 5 6y | 6 9 8 10
Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

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Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o
nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three  locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353

So distance AB is 74 metres.

5 0
3 years ago
Which type of investment return can change the most from day to day?
Lorico [155]
Probably B mutual funds
7 0
3 years ago
What is the measure of angle 1
Gre4nikov [31]

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

7 0
3 years ago
Read 2 more answers
Find the difference equation<br> Y= a / x +b
Art [367]

Answer:

y+a+x=b

Step-by-step explanation:

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7 0
2 years ago
In Rhombus ABCD if BD is 24 ft and AD is 15 ft, then what is the length of AC?
Evgen [1.6K]

Answer:

AC = 24ft

Step by Step Explanation.

Given.

Rhombus.

BD = 24ft

AD = 15ft

Required

Length of AC

A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)

The opposite sides of a parallelogram are always of equal length

From the attached diagram (not drawn to scale), side AC opposites side BD

Given that BD = 24ft, then

AC = BD = 24ft.

Hence, AC = 24ft

4 0
3 years ago
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