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mojhsa [17]
3 years ago
10

A sample of 100 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured.

The linear correlation coefficient is 0.239 and the equation of the regression line is y = 18.5 + 0.890x​, where x represents height. The mean of the 100 heights is 62.9 in and the mean of the 100 pulse rates is 73.4 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of α=0.01
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

\hat y= 18.5 +0.890(65)=76.35

Step-by-step explanation:

For this case we have a linear model given by:

\hat y= 18.5 +0.890 X

Where X= represent the height.

Y= represent the beats per minute

And the slope is given by \beta_1 =0.890 and the intercept \beta_0 =18.5

We have the mean for x and y given also \bar X= 62.9 \bar Y= 73.4

And in order to find the best predicted value we just need to replace the value of X= 65, and we got this:

\hat y= 18.5 +0.890(65)=76.35

If we want a confidence interval for the response variable when the predictor variable is x, is given by this formula:

\hat y \pm \sqrt{1+\frac{1}{n} +\frac{(x-\bar X)^2}{(n-1)s^2_x}}

And if we replace we got this:

76.35 \pm \sqrt{1+\frac{1}{100} +\frac{(65-62.9)^2}{(100-1)s^2_x}}

But for this case since we don't have the deviation we can just express it like this.

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Big ideas math 1.2 Practice A number 19
slega [8]

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

  • Line segment FG = 37.
  • Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

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Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

4 0
2 years ago
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Can any one solve this problem ​
ElenaW [278]

Answer:

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6 0
3 years ago
HELP PLS WILL GIVE A LOT OF POINT
sveta [45]

Answer:

large = 18 3/4 = 18.75

small = 13/2 = 6 1/2 = 6.5

Step-by-step explanation:

Let l = the weight of large boxes

s = weight of small boxes

2 large and 3 small weights 57

2l+3s = 57

6 large and 5 small wights 145

6l+5s = 145

Multiply the first equation by 3

3(2l+3s) = 57*3

6l +9s =171

Subtract the second equation

6l +9s =171

-6l -5s = -145

-----------------------

     4s =26

Divide each side by 4

4s/4 = 26/4

s = 26/4 = 13/2

Substitute this into the first equation

2l +3s = 57

2l + 3(13/2) =57

Multiply by 2 to get rid of the fractions

2(2l + 3(13/2)) =57*2

4l + 39 = 114

Subtract 39 from each side

4l +39-39 = 114-39

4l =75

Divide by 4

4l/4 = 75/4

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7 0
3 years ago
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Bezzdna [24]
First find the lowest common multiple of the denominators which are 12 3 9 and 27 these all go into 108. Next divide 108 by the original denominators for example 108/12 is 9 then times 9 by the numerator which is 5 and you get 45 so the first one is 45/108. Do this for them all and order by the size of the numerator
5 0
3 years ago
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