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Mashcka [7]
3 years ago
14

The mean height of American women in their twenties is about 64 inches, and the standard deviation is about 2.7 inches. The mean

height of men the same age is about 69.3 inches, with standard deviation about 2.8 inches. If the correlation between the heights of husbands and wives is about r = 0.5, what is the slope of the regression line used to predict the husband's height (Y) from the wife's height (X) in young couples?
Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0

Answer:

slope= 0.52

Step-by-step explanation:

For American women

Mean (x) = 64 inches

Standard deviation (sx) = 2.7 inches

For American Men

Mean(ÿ) = 69.3 inches

Standard deviation (sy) = 2.8 inches

r = 0.5

Slope = ??

Husband height = Y

Wife height = X

the general equation of regression line

y = a + bx

The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for Y

b = r (sy/sx)

b = 0.5(2.8/2.7)

b = 0.52

The intercept a = ÿ - bx

a = 69.3 - 0.52(64)

a = 69.3 - 33.28

a = 36.02

The equation of the regression line y = a + bx

y = 36.02 + 0.52x

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6c^3 +30c / 3c^2 + 15
mario62 [17]
Hello there,

6c^{3} +30c/ 3c^{2} +15 = 16c^{3}+15

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7 0
3 years ago
Median for 15,17,15,16,14,18,5
Andrei [34K]

Answer:

the median is 15

Explanation:

you can find the median by arranging the numbers from smallest to largest and finding the number in the middle.

5 14 15 <u>15</u> 16 17 18

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i hope this helps! :D

4 0
3 years ago
How do I do this!!!!!
Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

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6 0
2 years ago
4 4/9 simplified into the smallest from
Rasek [7]
1/9 maybe possible go with the best choice
3 0
3 years ago
Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run
mezya [45]

Answer:

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

Step-by-step explanation:

Step 1

Express the angle of inclination as follows;

Tan∅=H/R

where;

∅=angle of inclination

H=vertical rise

R=distance of run

Step 2

Determine the angle inclination when;

H=3 feet

R=2 feet

replacing;

Tan∅=(3/2)=1.5

∅=Tan^(-1)(1.5)

∅=56.31°

Determine the angle inclination when;

H=5 feet

R=3 feet

replacing;

Tan∅=(5/3)=1.67

∅=Tan^(-1)(1.67)

∅=59.03°

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

6 0
3 years ago
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