Lesson 2 Homework Practice Lines Of Best Fit Guide

c) Predict the test score for a student who studies : ________ 2. Age of Car vs. Value A used car dealer records the age of cars (in years) and their selling price (in $1000s).

a) Correlation: ___________________

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.

(If no grid is available, describe where your line passes through two approximate points.) An ice cream shop records daily high temperature (°F) and ice cream sales ($). lesson 2 homework practice lines of best fit

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 ]

a) Correlation: ___________________

c) Write the equation: ___________________ c) Predict the test score for a student

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

b) Equation of line of best fit (approximate): ___________________

| Hours Studied (x) | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 | 4 | |------------------|----|----|----|----|----|----|----| | Test Score (y) | 55 | 65 | 70 | 75 | 80 | 85 | 95 | a) Correlation: ___________________ c) If x = 8,

_________________________ Date: _________________________ Period: _________________________

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

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

b) Equation of line of best fit: ___________________