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spin [16.1K]
3 years ago
6

What’s the awnser? ILL GIVE BRAINLIST

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0
The answer is (4,-7)
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Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
kondor19780726 [428]

Answer:

The equation of the regression line is:

y~=~234.56158 ~-~ 2.95835 \cdot x

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}

To find the line of best fit for the points:

Step 1: Find X\cdot X and X\cdot Y as it was done in the table

Step 2: Find the sum of every column:

\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897

Step 3: Use the following equations to find a and b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}

The graph of the regression line is:

5 0
4 years ago
Elijah was analyzing the trajectory made after throwing a football. His coach was able to measure that his throw reached a maxim
ziro4ka [17]

Answer:


Step-by-step explanation:

Given that Elijah threw a ball from a height of 4 feet.  The ball reached maximum height of 16 feet after 2seconds

Let vertical component of his speed be v

When it reaches maximum height its velocity becomes 0

Hence

height reached by the ball =h=vt-\frac{gt^2}{2}

When h=12(16-4) we get g=gravity =32

Hence 12 =2v-16(4)

v=38

Hence h=38t-\frac{32t^2}{2}

where h is calculated from the height of hand i.e. 4 feet

When it touches the ground h =-4

When it starts falling then distance travelled = 16 feet

Initial velocity =0 Accn due to gracity =32 feet

Using these we can write

16=0+\frac{32t^2}{2}\\ t=1

So after 3 minutes from start the ball would reach the ground



8 0
3 years ago
What property could be used to solve x divided by 5=3
SashulF [63]

Answer:

3/5

Step-by-step explanation:

8 0
4 years ago
Why did our Founding Fathers make the Articles of Confederation so weak?
soldier1979 [14.2K]

Answer:

A. They were afraid of having another monarchy/king.

Step-by-step explanation:

This is because they were already under a rule of a cruel king from Britain and the whole reason they were creating this document was because they rebelled from monarchy and wanted to create a better government.

6 0
3 years ago
Eck<br> Find the sum or dif<br> 3. – 1 + 1<br> Simnlify the
adell [148]

its just 0...

Thats all its -1+1 so it would equal zero

Think about it like this

-1+1 = 1+(-1)

and when you add a negative what are you doing? Subtracting!

so 1-1 equals...?

0

8 0
3 years ago
Read 2 more answers
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