Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Analyzing Lines of Fit
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Exercise 15 Page 197

What is the equation's slope and y-intercept according to the display?

Correct Equation: y=- 4.47x+23.16
Explanation: a and b has been interchanged

Practice makes perfect

We are asked to find and correct the error in the given interpretation of a calculator screen. We will first create the line of best fit ourselves. Then we will describe the error.

Creating a Line of Best Fit

Let's consider the graphing calculator display.

Illustration of the LinReg(ax+b) window on the calculator

We will substitute the values of a and b into the equation y= ax+ b to find the equation of the line of best fit. y= - 4.47x+ 23.16

Describing the Error

The written equation has interchanged the values of a and b. According to the display, we have a= - 4.47 and b= 23.16. The coefficient of x should be - 4.47 and the constant 23.16.