graphing and trendline practice\ndirections: use the data tables below to create scatter plot graphs with…

graphing and trendline practice\ndirections: use the data tables below to create scatter plot graphs with trendlines. steps you should take:\n1) identify which variable is “independent” and which is “dependent”. hint: usually the variable you measure is “dependent”.\n2) label the x axis with the independent variable and the y axis with the dependent variable. include the units they were measured in.\n3) look at the range of values for each variable. decide what the smallest and largest values on the graph should be for each axis. usually it is a clean round number slightly smaller and larger than the range of values you need. often (but not always), zero is at the origin. label the max and min values on the graph, and figure out how large each of the squares in between is.\n4) graph your data. use a small “x” instead of a dot for each data point so we don’t cover them up with our trendline.\n5) draw a dashed line or curve that shows the overall trend of the data. it should not connect each data point, and may not even go through any data points! if you are not sure about a trendline, a simpler trendline is better.\nmileage data for a hybrid car\ndistance traveled (miles) gas used (gallons)\n10 0\n150 4\n27 0.5\n132 3.5\n45 1\n80 2\n180 5\nwhich mathematical relationship is best represented by the trendline through this data?

graphing and trendline practice\ndirections: use the data tables below to create scatter plot graphs with trendlines. steps you should take:\n1) identify which variable is “independent” and which is “dependent”. hint: usually the variable you measure is “dependent”.\n2) label the x axis with the independent variable and the y axis with the dependent variable. include the units they were measured in.\n3) look at the range of values for each variable. decide what the smallest and largest values on the graph should be for each axis. usually it is a clean round number slightly smaller and larger than the range of values you need. often (but not always), zero is at the origin. label the max and min values on the graph, and figure out how large each of the squares in between is.\n4) graph your data. use a small “x” instead of a dot for each data point so we don’t cover them up with our trendline.\n5) draw a dashed line or curve that shows the overall trend of the data. it should not connect each data point, and may not even go through any data points! if you are not sure about a trendline, a simpler trendline is better.\nmileage data for a hybrid car\ndistance traveled (miles) gas used (gallons)\n10 0\n150 4\n27 0.5\n132 3.5\n45 1\n80 2\n180 5\nwhich mathematical relationship is best represented by the trendline through this data?

Answer

Answer:

The relationship is approximately linear.

Explanation:

Step1: Analyze data points

We have distance traveled (independent variable) and gas used (dependent variable).

Step2: Consider linear - relationship concept

A linear relationship implies a constant rate of change. As distance increases, gas used generally increases in a somewhat constant - ratio manner.

Step3: Visualize trend

If we were to plot the points and draw a trend - line, the points would roughly form a straight - line pattern, indicating a linear relationship.