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olga nikolaevna [1]
2 years ago
14

Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1

4.347, and the mean of the y-coordinates is 10.088, what is the y-intercept of the line to three decimal places?
Mathematics
1 answer:
aleksley [76]2 years ago
5 0

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For a line of best-fit, the y-intercept is given by:

b = \overline{y} - m\overline{x}

The parameters in this problem are given as follows:

m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088

Then:

b = 10.088 - 4.915(14.347) = -60.428

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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6 0
3 years ago
It takes the high-speed train x hours to travel the z miles from Town A to Town B at a constant rate, while it takes the regular
tatyana61 [14]

Answer:

S=  z (y-x)/(x+y)

Step-by-step explanation:

Lets the speed of high speed train = u

Lets the regular speed train = v

We know that

Distance = Speed x time

For high speed train

 z = u .x      

    u= z/x                  ----------1

For regular speed train

 z = v .y    

v = z/y             -------------2

Both are traveling in opposite direction so relative speed

Vr = z / x+ z /y

Lets in time t they will meet

z = (z / x+ z /y) t

t= xy/ (x+y)

Lets take distance  cover by high speed train is m when it moves A to B and  speed cover by regular train is n when it is moving B to A.They meet at time t.

m = u .t

m = z / x .xy/ (x+y)

m = zy/ (x+y)            -----------3

n = v .t

n = z / y .xy/ (x+y)

n = zx/ (x+y)              -----------4

From equation 3 and 4

So

m - n= zy/ (x+y)   - zx/ (x+y)      

S=  z (y-x)/(x+y)

Option a is correct.

4 0
3 years ago
The picture has both the graph and the answer choices plesse help​
Goshia [24]

Answer: Option (4)

Step-by-step explanation:

The graph has a y-intercept of 2.

  • Eliminate options (1) and (3).

The graph passes through (2,4).

  • Eliminate option (2).

This leaves option (4) as the correct answer.

5 0
1 year ago
If 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?​
aleksandrvk [35]

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

6 0
2 years ago
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