Section 1.2 Using Data to Create Scatterplots

Table of Data Year Percent of Students Buying Textbooks Online Source: made up data

Table of Data With Adjusted Independent Variable YearYears since 2005 Percent of Students Buying Textbooks Online

Table of Data Year Years since 2005 Percent of Students Buying Textbooks OnlineOrdered Pairs (0,0) (1,2) (2,10) (3,25) (4,30) (5,37)

Scatterplot of the Data Ordered Pairs (horizontal, vertical) (0,0) (1,2) (2,10) (3,25) (4,30) (5,37)

Line-of-Best-Fit

Domain and Range Domain – set of input values for the independent variable (horizontal axis) that allow for reasonable output values (vertical axis) Range – set of output values for the dependent variable (vertical axis) resulting from the given domain

Find the Domain and Range

In this problem, the domain can be selected based the data available and the graph. The set of values we choose for the domain has to include 0 to 5 because these values have data points. We could choose our domain to begin at 0 and end at 5 but since the graph extends to 7, we could choose to extend our domain out that far.

Find the Domain and Range Let’s choose our domain to go from 0 to 7. Now draw a box that has it’s corners on the line-of-best-fit and goes from 0 to 7 in the horizontal direction so that it encompasses our domain.

Find the Domain and Range Let’s choose our domain to go from 0 to 7. Now draw a box that has it’s corners on the line-of-best-fit and goes from 0 to 7 in the horizontal direction so that it encompasses our domain.

Find the Domain and Range Let’s choose our domain to go from 0 to 7. Now draw a box that has it’s corners on the line-of-best-fit and goes from 0 to 7 in the horizontal direction so that it encompasses our domain. The range can now be determined by the lower and upper ends of the box because Range is dependent on the Domain.

Find the Domain and Range Let’s choose our domain to go from 0 to 7. Range is dependent on the Domain. From the graph it appears that a good range will go from 0 to 52 on the vertical axis. 52

Writing the Domain and Range using Interval Notation Domain and Range are often written using interval notation: Domain: [0,5], Range: [0,52] 52