1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Degger [83]
3 years ago
7

(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span      Height

   19.5               25

   35.5              35

   37.0              39

   40.5             40

   44.5             45

   45.5             50

   49.0             49

    51.0             55

   52.5             47

   59.0             60

   61.0              58

(1)

Compute the value of slope and intercept as follows:

\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}

The equation of the line of best fit is, <em>y</em> = 0.857·<em>x</em> + 7.174.

(2)

The slope of the line represent the rate of change in <em>y</em> caused by one unit change in <em>x</em>.

In this case the slope of <em>m</em> = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the <em>x</em> and <em>y</em> values.

Consider the values: (37, 39) and (51, 55)

Compute the value of <em>y</em> if <em>x</em> = 39:

y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6

The new value of <em>y</em> (40.6) is close to the original value (39.0)

Compute the value of <em>y</em> if <em>x</em> = 55:

y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0

The new value of <em>y</em> (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

<em>y</em> = 0.857·<em>x</em> + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

You might be interested in
10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad &#10;\begin{cases}&#10;28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\&#10;\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\&#10;\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\&#10;\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\&#10;\qquad 2\cdot (45)^2\cdot 7\\&#10;\qquad 14\cdot 45^2&#10;\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}&#10;\\\\\\&#10;\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
4 0
3 years ago
I need help now, please. Please explain also. Thanks!
Slav-nsk [51]

Answer:

C)-1

Step-by-step explanation:

You can not spend a negative hour playing golf.

4 0
3 years ago
What is 2x + 3y -4 =? <br><br> x = 2 , y =4
Vanyuwa [196]

Answer:

4X+12Y-4

Step-by-step explanation:

7 0
3 years ago
A+6,when a=2?<br><br><br> Pls answer
vlabodo [156]

Answer:

8

Step-by-step explanation:

a + 6; a = 2

2 + 6 = 8

Thus, The answer is 8

<u>-The</u><u>UnknownScientist</u>

5 0
3 years ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now
matrenka [14]
<span>K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.</span>
7 0
3 years ago
Other questions:
  • Leonard's Credit Report
    12·1 answer
  • Luis, Marlon, and Victoria are counting money. They each have the same amount in dollar bills, quarters, dimes, nickels, and pen
    9·2 answers
  • If DF = 9x - 39, find EF
    7·1 answer
  • What capital leffer appears to have parallel lines?<br><br><br><br> D or L or N or T?
    14·1 answer
  • 13,84,85 are the last ones please help
    11·1 answer
  • Question 1: In Math mean means..<br><br> A. average <br> B. divide<br> C. GCF<br> D. LCM
    7·1 answer
  • A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
    7·1 answer
  • PLS I BEG! Help! Fractions! Put the fraction in order from least to greatest. Il lgive brainlist!
    5·2 answers
  • Please answer.<br> No scammers and links
    6·1 answer
  • 26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy wei
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!