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Elenna [48]
2 years ago
14

The coefficient of determination: a. cannot be negative b. is the square root of the coefficient of correlation c. can be negati

ve or positive d. is the same as the coefficient of correlation
Mathematics
1 answer:
patriot [66]2 years ago
5 0

Answer:

Correct statement: (a) and (b).

Step-by-step explanation:

R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

The coefficient of determination is the squared value of the correlation coefficient.

That is,

R^{2}=(r(X, Y))^{2}

The correlation coefficient between two variables is the measure of the strength and direction of the relationship between two variables.

Its values ranges from -1.00 to +1.00.

Although <em>r</em> can be negative but R² is always positive, since square of a negative number is also positive.

So the correct statements are:

a. cannot be negative

b. is the square root of the coefficient of correlation

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Using the extended Euclidean algorithm, find the multiplicative inverse of a. 135 mod 61 b. 7465 mod 2464 c. 42828 mod 6407
rodikova [14]

Answer:

(a)1≡47 mod 61

(b)1≡2329 mod 2464

(c)Does not exist

Step-by-step explanation:

The operation a(mod b) has an inverse if the the two integers (a,b)

are co-prime. i.e. their g.c.d is 1.

(a)Given 135 mod 61

We first reduce it to its lowest form.

135 mod 61=13 mod 61

61=13(4)+9 ==> 9=61-13(4)

13=9(1)+4 ==> 4=13-9(1)

9=4(2)+1 ==> 1=9-4(2)

4=1(4)

Next we rewrite 1 as a linear combination of 13 and 61.

1=9-4(2)

=9-(13-9(1))2

=9(3)-13(2)

=(61-13(4))(3)-13(2)

=61(3)-13(12)-13(2)

1=61(3)-13(14)

1=61(3)+13(-14)

1≡-14 mod 61≡(-14+61)mod 61

1≡47 mod 61

(b)7465 mod 2464

Reducing it to its lowest form

7465 mod 2464=73 mod 2464

2464=73(33)+55 ==>55=2464-73(33)

73= 55(1)+18 ==> 18=73-55(1)

55=18(3)+1 ==>1=55-18(3)

18=1(18)

Rewriting 1 as a linear combination of 73 and 2464.

1=55-18(3)

=2464-73(33)-(73-55(1))(3)

=2464-73(33)-73(3)+55(3)

=2464-73(36)+55(3)

=2464-73(36)+(2464-73(33))(3)

=2464-73(36)+2464(3)-73(99)

=2464(4)-73(135)

1=2464(4)+73(-135)

Therefore:

1≡-135 mod 2464

1≡(-135+2464)mod 2464

1≡2329 mod 2464

(c)42828 mod 6407

The two numbers are not co-prime. In fact their g.c.d is 43.

Therefore their inverse does not exist.

4 0
2 years ago
Read 2 more answers
Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply. Point H is the center of the circle that
Dmitrij [34]
The circumcenter of a triangle is the intersection of the perpendicular bisectors.It is the center of the triangle's circumcircle. And a circumcircle is the circumscribed circle of the triangle. This unique circle passes through each of the triangle's three vertices. According to these definitions the following statement is true:
Point H is the center of the circle that passes through points D, E, and F. 


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2 years ago
Raj wants to take yoga classes. There are two yoga studios that have different membership plans.
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C

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7 0
2 years ago
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Below is how many wild unicorns live in each of the six enchanted forests on Mystical Island.
zlopas [31]

Answer:

The histogram of the data is attached below.

Step-by-step explanation:

A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.

The data provided is:

X   Frequency

1           12

2           3

3           7

4           9

5          18

6          14

The histogram of the data is attached below.

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2 years ago
Your neighbor has a square shaped pool with side lengths of 3a5 what is the area of the pool
Anvisha [2.4K]

If a square-shaped pool with side lengths are 3a^5 then find the area of the pool

solution:

A = (3a^5) x (3a^5)

   = 9a^5+5

   = 9a^10

The area of the square-shaped pool are 9a^10 based on the given side length which is 3a^5

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2 years ago
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