In this activity, you will carry out an investigation to compare properties of common household materials. In the process, you
will
analyze and interpret data to determine similarities and
differences in findings
• construct and interpret graphs to identify linear and nonlinear
relationships

1. Analyze and interpret data to determine similarities and differences in findings

  Data collection is the systematic recording of information; data analysis involves working to uncover patterns and trends in datasets; data interpretation involves explaining those patterns and trends.

2. Construct and interpret graphs to identify linear and nonlinear relationships

  Graphs of Nonlinear Relationships. ... A nonlinear relationship between two variables is one for which the slope of the curve showing the relationship changes as the value of one of the variables changes. A nonlinear curve is a curve whose slope changes as the value of one of the variables changes.

  The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable.

  Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.

  Nonlinearity is a term used in statistics to describe a situation where there is not a straight-line or direct relationship between an independent variable and a dependent variable. In a nonlinear relationship, changes in the output do not change in direct proportion to changes in any of the inputs.

Explanation: