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Vesnalui [34]
3 years ago
5

What is 6.63 rounded to the nearest tenth

Mathematics
2 answers:
sertanlavr [38]3 years ago
4 0
Google will helped you
konstantin123 [22]3 years ago
4 0
6.6
because 3 is less than 5 so you don't do anything
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Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x
Anna11 [10]

Answer:

a) Figure attached

b) y=1.31 x +98.57

c) The correlation coefficient would be r =0.47719

d) y=1.31 x +98.57=1.31*21 + 98.57 =126.08

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143

And the slope would be:

m=\frac{193.143}{147.429}=1.31

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429

\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643

And we can find the intercept using this:

b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571

So the line would be given by:

y=1.31 x +98.57

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 \sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649  

And in order to calculate the correlation coefficient we can use this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by r^2 and on this case 0.47719^2 =0.2277, so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

y=1.31 x +98.57=1.31*21 + 98.57 =126.08

7 0
2 years ago
Which ordered pair is a solution of the equation shown?<br><br> 25 points
Dahasolnce [82]

Answer:

4y-2 / 3

Step-by-step explanation:

7 0
2 years ago
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Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12sqrt(5))/5 What is the length of the smal
anastassius [24]

The length of the smaller leg is 3.79

<h3>How to determine the length of the smaller leg?</h3>

Represent the smaller leg with x.

So, we have:

x^2 + x^2 = ((12\sqrt5)/5)^2 -- Pythagoras theorem

This gives

2x^2 = 144/5

Divide by 2

x^2 = 72/5

This gives

x^2 = 14.4

Take the square root

x = 3.79

Hence, the length of the smaller leg is 3.79

Read more about right triangles at

brainly.com/question/6322314

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2 years ago
A ruler is 12 inches long. What is the of this ruler
Nuetrik [128]

Can you please clarify what you want to ask? Thanks!

7 0
3 years ago
How to divide 33 photos into two groups so that the ratio is 4 to 7
velikii [3]
The ratio 4 to 7. would be 12 and 21
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3 years ago
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