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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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chubhunter [2.5K]

Answer:

a) 910

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c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

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b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

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A computer randomly selects a number from the given set.
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ira [324]

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(-3, 1) quadrant II (2)

Step-by-step explanation:

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3 years ago
Katt and sanjeev are collecting money for charity. For every £2 that kat collects, sanjeev collects £3. They collect £255 in tot
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Answer: Kate = £102

Sanjeev = £153

Step-by-step explanation:

From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:

Kat = 2/5

Sanjeev = 3/5

The amount that each collects will be:

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Troyanec [42]

Answer:

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Margin of error = z√(p(1-p)/n)

Given

p-hat = 0.43

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MOE = 2.576√0.43(1-0.43)/270

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