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densk [106]
3 years ago
5

Which of the following statements concerning the linear correlation coefficient are​ true? ​I: If the linear correlation coeffic

ient for two variables is​ zero, then there is no relationship between the variables. ​II: If the slope of the regression line is​ negative, then the linear correlation coefficient is negative. ​III: The value of the linear correlation coefficient always lies betweenminus1 and 1. ​IV: A linear correlation coefficient of 0.62 suggests a stronger linear relationship than a linear correlation coefficient of minus0.82.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

​I: If the linear correlation coefficient for two variables is​ zero, then there is no relationship between the variables. ​II: If the slope of the regression line is​ negative, then the linear correlation coefficient is negative. ​III: The value of the linear correlation coefficient always lies between minus 1 and 1. ​

Step-by-step explanation:

A correlation coefficient is a measure of how closely the variables are related.  This coefficient ranges from -1 to 1, with -1 being a perfect fit for a decreasing data set and 1 being a perfect fit for an increasing data set.

If the data set has a negative correlation coefficient, the data is decreasing; this means that the slope of the regression line will be negative.

The closer the correlation coefficient is to -1 or 1, the better the fit; this means that a correlation coefficient of -0.82 will be stronger than one of 0.62.

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Find x and y when bxby = b8 and b4xb-2y=b2​
Anika [276]

Answer:

x = 1/y

Step-by-step explanation:

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3 years ago
A cell phone company tests 75 cell phones and finds that 3 of them have defects. Out of 450 cell phones, how many would you expe
Hoochie [10]

Answer:

18 cellphones

Step-by-step explanation:

75 x 6= 450

3 x 6= 18

3 0
3 years ago
Acellus
taurus [48]

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

8 0
3 years ago
What is the radius of a sector of a circle with the central angle of measure 45 and whose area is 9/8 pi cm^2
larisa86 [58]

The radius of the sector of the circle with the given area is: B. 3.

<h3>What is the Area of a Sector?</h3>

Area of sector of a circle = ∅/360 × πr².

Given the following:

Area of sector = 9/8 π cm².

∅ = 45 degrees

Plug in the values into the formula

9/8π = 45/360 × πr²

1.125 = 0.125 × r²

1.125/0.125 = r²

9 =  r²

r = 3 cm

Learn more about the area of sector on:

brainly.com/question/22972014

#SPJ1

5 0
2 years ago
A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the
STALIN [3.7K]

Answer:

The width of rectangle is W=\frac{108}{13}\ cm  or  8\frac{4}{13}\ cm

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm

substitute

26=2(x+4+12x)

solve for x

26=2(13x+4)

26=26x+8

26x=26-8

26x=18

x=\frac{18}{26}

simplify

x=\frac{9}{13}

<em>Find the width of rectangle</em>

W=12x\ cm

substitute the value of x

W=12(\frac{9}{13})=\frac{108}{13}\ cm

Convert to mixed number

\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm

7 0
3 years ago
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