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Setler [38]
3 years ago
14

Which would be the best trend line for the given data set?

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

y=-2/3x+5

Step-by-step explanation:

From the scattered plot, it is evident that the line of best fit will have a negative slope from the way the plots are aligned.

Selecting the line of best fit that will cut the y axis at +5, the points can be estimated as;

(5,1.5) and (3.5,2.5)

The slope can be found as;

m=Δy/Δx

m=2.5-1.5/3.5-5 =1.0/ -1.5 = -0.67

Finding the equation as;

m=Δy/Δx

-0.66 = y-2.5/x-3.5

-0.66(x-3.5) = y-2.5

-0.66x+2.3=y-2.5

-0.66x+2.3+2.5=y

-0.66x+4.7=y

⇒⇒  y= -0.66 x + 4.7

⇒⇒y= -2/3 x + 5

Learn More

Linear equations:brainly.com/question/8738418

Keywords: best trend line, data set

#LearnwithBrainly

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14=-4(-6c-3)+2 find c​
DIA [1.3K]

Answer:

C = 0

Step-by-step explanation:

To find the answer simply, isolate the variable by dividing each side by factors that don't contain the variable to get the value of 'C'

6 0
3 years ago
Z^5=-7776i
Sloan [31]

Answer:

Z=+6

Step-by-step explanation:

Z^5=-7776i

Let's note that i I mathematics means negative one i.e

i = -1

So the equation is equal to

Z^5=-*-(7776)

Z^5 = 7776

Z= 5√7776

Since it's a divisible by 6

It's giving us a clue that 6 it's the answer.

Ok let's check the 5th root of 7776 in our calculator.

Z=+6

+6 is the solution to the equation

Z^5=-7776i

7 0
4 years ago
A survey measures the motivation, attitudes, and study habits of freshman in college. Freshmans’ scores on this survey range fro
MrRissso [65]

Answer:

Option A) 0.0074    

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 110

Sample mean, \bar{x} = 20

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 115.35

First, we design the null and the alternate hypothesis

H_{0}: \mu = 110\\H_A: \mu \neq 110

We use two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{115.35 - 110}{\frac{20}{\sqrt{100}} } = 2.675

Now, we calculate the p-value from the standard normal table.

P-value  = 0.0074

Thus, the correct answer is

Option A) 0.0074

5 0
4 years ago
What are the missing numbers for this ratio table
IrinaVladis [17]

Answer:

  • y = 8
  • x = 9

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

<em>Additional comment</em>

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

4 0
2 years ago
If the length of AC equals 50, what is the length of the midsegment DE?
balu736 [363]

Answer:

25

Step-by-step explanation:

The mid-segment of the triangle is always parallel to the base and is half the length of the base

3 0
3 years ago
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