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Based on the best fit line for the scatter plot, whatis the predicted value of y for an x value of 5?

Based on the best fit line for the scatter plot, whatis the predicted value of y for-example-1

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Let's begin by listing out the information given to us:

We will pick 2 coordinates that lie along the straight line. We have: (x, y) = (1, 4.8), (4, 1.8)

We will proceed to calculate the Slope of the line as shown below

Slope (m) = Δy/Δx = (1.8-4.8)/(4-1) = -3/3 = - 1

Slope (m) = -1

The next thing is to obtain the formula for the straight line. This is down below:

Using the Point-Slope equation, we have:

y - y1 = m(x - x1)

(x1, y1) = (1, 4.8)

⇒ y - 4.8 = -1(x-1)

y = -x + 1 + 4.8

y = -x + 5.8

When x = 5, the value of y is:

y = -x + 5.8 ⇒ y = -5 + 5.8 = 0.8y = 0.8

y = 0.8

Therefore, when x is 5, y equals 0.8

User Miroslav Dzhokanov
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