Lesson 2 Homework Practice Lines Of Best Fit ❲90% HOT❳

b) Write the equation of your line: ___________________

a) Correlation: ___________________

b) Equation of line of best fit: ___________________

c) If x = 8, what is the predicted y-value? ___________________ Find a set of real-world bivariate data online or in another class (e.g., height vs. shoe size, years of education vs. salary). Create a small scatter plot and draw a line of best fit. Write the equation and one prediction. Teacher’s Tip: For questions involving drawing, encourage students to use a ruler and aim for a line that has roughly the same number of points above and below it.

a) Is the correlation positive or negative? ___________________

| Hours Studied (x) | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 | 4 | |------------------|----|----|----|----|----|----|----| | Test Score (y) | 55 | 65 | 70 | 75 | 80 | 85 | 95 |

c) Predict the y-value when x = 10: ________

e) Is it reasonable to use this line to predict sales at ? Why or why not? 5. Challenge – Interpret the Line A student drew a line of best fit for a scatter plot with the equation: [ y = -2.5x + 45 ]

b) Use two points from your line of best fit to find the slope. Show your work.

c) Predict the value of a car: $_______________ 3. Draw Your Own Line of Best Fit Plot the following points on the grid below (or sketch on your own paper):

| Temp (°F) | 65 | 70 | 72 | 78 | 82 | 85 | 90 | |-----------|----|----|----|----|----|----|----| | Sales ($) | 150| 180| 200| 240| 300| 330| 400|

d) Predict sales if the temperature is : $_______________

b) What does the slope mean in a real-world context? (Write a possible interpretation.)

a) Draw a line of best fit through the data.

_________________________ Date: _________________________ Period: _________________________