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Subject

Mathematics (NYS P-12 Common Core)

Description

In this lesson, students interpret the meaning of the slope and y-intercept of the graph of real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the resulting least squares regression line.

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Illuminations

Illuminations is a project designed by the National Council of Teachers of Mathematics (NCTM) and supported by the Verizon Foundation. NCTM serves as a content partner for Thinkfinity, the Verizon Foundation's free online professional learning community, where Illuminations is the primary contributor of resources for teaching and learning mathematics for grades pre-K—12. Connect and collaborate with over 70,000 educators though Thinkfinity! Share resources, join discussions and participate in special interest groups.

Related Academic Standards

New York State

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

F-IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★

F-IF.7.a Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.7.e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

S-ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.