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Pavel [41]
2 years ago
15

PLZ ANSWER ASAP!!!!! Part B

Mathematics
1 answer:
bazaltina [42]2 years ago
4 0

The equation of the linear regression  is \^ y = 3.58125\^x + 202.575

<h3>Graphing tool</h3>

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

<h3>The equation</h3>

From the graphing tool, we have the following calculation summary

  • Sum of X = 440
  • Sum of Y = 3601.5
  • Mean X = 44
  • Mean Y = 360.15
  • Sum of squares (SSX) = 1440
  • Sum of products (SP) = 5157

The regression Equation is then represented as:

\^y = b\^x + a

Where:

b = \frac{SP}{SSX} and a = \bar y - b \times \bar x

b = \frac{5157}{1440}

b = 3.58125

Also, we have:

a = \bar y - b \times \bar x

a= 360.15 - (3.58\times 44)

a = 202.575

So, the linear regression equation is:

\^ y = 3.58125\^x + 202.575

Read more about linear regression at:

brainly.com/question/17844286

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Step-by-step explanation:

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23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.

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