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riadik2000 [5.3K]
3 years ago
12

Suppose the line of best fit is being found for some data points that have an r-value of 0.657. If the standard deviation of the

x-coordinates is 2.445, and the standard deviation of the y-coordinates is 9.902, what is the slope of the line to three decimal places?
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
5 0
We are given a line with the following data:

r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)

We are asked to find the slope of the line up to 3 decimal places.

To find the slope of the line, based on the data that we have, we can use this formula:

slope, b = r * (Sy / Sx) 

substitute the values to the formula:

b = 0.657 * ( 9.902 / 2.445 )

Solve for the b.

Therefore, the slope of the line is 

b = 2.66078, round off to three decimal places:

b = 2.661 is the slope of the line. 
castortr0y [4]3 years ago
5 0

Answer: 2.661

Step-by-step explanation:

A P E X

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Aleonysh [2.5K]
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8 0
2 years ago
Simplest form of 2/10
slega [8]
To simplify fractions, all you have to do is divide both the numerator and the denominator by the greatest common factor of both integers.

In this case, the greatest common factor of 2 and 10 is 2.

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3 0
3 years ago
(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
Multiple choice, picture attached :)
timofeeve [1]

Answer:

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A constant rate per week is b = 1.00

1.06 - 1.00 = 0.06

Move the decimal over 2 places to get 6% which is the share's value

4 0
3 years ago
Solve the following equation (If possible please show work)
irina [24]

Answer:

<em>x = 5</em>

Step-by-step explanation:

5(x + 4) - 8 = x + 32

5x + 20 - 8 = x + 32

5x + 12 = x + 32

5x - x + 12 = 32

5x - x = 32 - 12

4x = 32 - 12

4x = 20

x = 5

Hope this helped! :)

4 0
3 years ago
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