Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables.
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables.
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Using technology, fit a least squares linear regression function for a scatter plot that suggests a linear association.
Use a function to describe data trends to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
The residual in a regression model is the difference between the observed and the predicted y for some π₯ (π¦ the dependent variable and π₯ the independent variable). So if we have a model π¦ = ππ₯ + π and a data point (π₯α΅’, π¦α΅’) the residual is for this point is πα΅’ = π¦α΅’ β (ππ₯α΅’ + π). Students may use spreadsheets, graphing calculators, and statistical software to represent data, describe how the variables are related, fit functions to data, perform regressions, and calculate residuals.
Measure the wrist and neck size of each person in your class and make a scatterplot. Find the least squares regression line. Calculate and interpret the correlation coefficient for this linear regression model. Graph the residuals and evaluate the fit of the linear equations.
Informally assess the fit of a function by plotting and analyzing residuals.
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data.
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.