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Gnom [1K]
2 years ago
8

Find the line y=a+bx which best approximates the data points

Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x         -3            -1             1             2             4

y       -70          -42         -21         -9             14

By the above table,

\sum x=3

\sum y=-128

\sum xy = 269

\sum x^2=31

\sum y^2 = 7382

Let the equation of the line is,

y = bx + a

Where,

a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}

b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

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2 years ago
Phillipe has 320 pieces of
tankabanditka [31]

The number of candies that will be <u>left over</u> after giving everyone an equal amount is equal to 23.

<u>Given the following data:</u>

  • Total number of candy = 320 pieces
  • Number of classmates = 27 classmates

To calculate the number of candies that will be <u>left over</u> after giving everyone an equal amount:

In this exercise, you're required to determine the number of candies Phillipe would have as <u>left over</u> after giving everyone in his class an equal amount of candies.

<h3>How to solve this word problem.</h3>

Thus, we would find the number of times 27 would divide 320 without any remainder.

\frac{320}{27} = 11 \frac{23}{27}

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Therefore, the number of candies that will be <u>left over</u> after giving everyone an equal amount is equal to 23.

Read more on word problems here: brainly.com/question/13170908

4 0
2 years ago
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
emmasim [6.3K]
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Area at base x height

Pi = 3.142

5^2 x 3.142 = 78.55

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

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For the second option we have:

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The second option will cost her less than the first one.

7 0
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