Question

Create a scatter plot and answer the following question.

Graph the points, draw a lint of best fit, and write an equation for the line of best fit.

Answer 1

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Slope Formula:
`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Scatter plots

Best Line of Fit

Algebra II

• Linear Regression

Explanation:

We can graph the scatter plot and estimate a best line of fit by drawing it in (See Attachment). We can also get the best best of line of fit using your calculator's graphing capacities. The black line is our estimated best line of fit and the red line is the linear regression.

Step 1: Define

Find 2 points from the chart.

Point (1, 2)

Point (7, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute in points [SF]:
   `\displaystyle m=(7-2)/(7-1)`
2. [Fraction] Subtract:
   `\displaystyle m=(5)/(6)`

Step 3: Find Equation

We can roughly estimate the y-intercept of the best line of fit. We see that it is (0, 1.5)

Our equation would then be:

`\displaystyle y = (5)/(6)x + (3)/(2)`