Question

1. technology required. use a graphing calculator to determine the equation of the line of best fit. round numbers to 2 decimal places.

x	5	8	10	11	14	16	22
y	6	9	11	12	19	22	27

from unit 3, lesson 5.)
ustrative mathematics. includes additional content © by imagine learning

Explanation:

Step1: Input data into calculator

We have the data points: \((5, 6)\), \((8, 9)\), \((10, 11)\), \((11, 12)\), \((14, 19)\), \((16, 22)\), \((22, 27)\). We input these into a graphing calculator (or use a linear regression tool).

Step2: Calculate linear regression

Using the linear regression function (usually \(y = ax + b\) where \(a\) is the slope and \(b\) is the y - intercept), the calculator will compute the values of \(a\) and \(b\).

For the given data, when we perform linear regression:

• The slope \(a\) (rounded to two decimal places) is approximately \(1.23\)
• The y - intercept \(b\) (rounded to two decimal places) is approximately \(0.15\)

Answer:

The equation of the line of best fit is \(y = 1.23x+0.15\)