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7. Probability & Statistics
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United States of AmericaVirginia
Algebra 2

7.03 Linear, quadratic, and exponential models

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Would a linear model be the best way to model the data shown in the scatter plot?

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A linear model would be the best way to model the data because a straight line can be drawn between each pair of consecutive points.

A

A linear model would not be the best way to model the data because the points are close to being along a curve rather than along a straight line.

B

A linear model would not be the best way to model the data because the greatest and least points are too far apart.

C

A linear model would be the best way to model the data because the points are close to being along a straight line.

D
Easy
< 1min

The scatterplot shows the number of parks in a city over time.

Easy
< 1min

The scatterplot shows the number of sales of hot chocolate a cafe makes as a function of temperature.

Easy
< 1min

Would a linear model be the best way to model the data shown in the scatter plot?

Medium
< 1min
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Outcomes

A2.ST.2

The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on representing bivariate data in scatterplots and determining the curve of best fit using linear, quadratic, exponential, or a combination of these functions.

A2.ST.2a

Formulate investigative questions that require the collection or acquisition of bivariate data and investigate questions using a data cycle.

A2.ST.2b

Collect or acquire bivariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.

A2.ST.2c

Represent bivariate data with a scatterplot using technology.

A2.ST.2d

Determine whether the relationship between two quantitative variables is best approximated by a linear, quadratic, exponential, or a combination of these functions.

A2.ST.2e

Determine the equation(s) of the function(s) that best models the relationship between two variables using technology. Curves of best fit may include a combination of linear, quadratic, or exponential (piecewise-defined) functions.

A2.ST.2f

Use the correlation coefficient to designate the goodness of fit of a linear function using technology.

A2.ST.2g

Make predictions, decisions, and critical judgments using data, scatterplots, or the equation(s) of the mathematical model.

A2.ST.2h

Evaluate the reasonableness of a mathematical model of a contextual situation.

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