Grade 9 Lesson plan
Duskerton Road Salt and Skelbrook Chloride: Residuals and Fit
A 55-minute grade 9 lesson where students fit a least-squares line to six winters of road-salt and stream-chloride data, then read the residuals and the correlation.
Common Core Math · High School
Compute (using technology) and interpret the correlation coefficient of a linear fit.
Why water teaches this standard well
Students compute the correlation coefficient between a watershed's rainfall and its downstream streamflow to judge how tightly the two variables track together. A strong or weak correlation coefficient here gives students a precise number behind a scatter plot's visual impression.
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Grade 9 Lesson plan
A 55-minute grade 9 lesson where students fit a least-squares line to six winters of road-salt and stream-chloride data, then read the residuals and the correlation.
Grade 10 Worksheet
A grade 10 worksheet where students fit a line to eight fictional storms at a creek gauge, compute residuals, and judge a prediction far outside the data range.
Grade 11 Math problem set
A grade 11 problem set fitting a line to a fictional jar test's dose and settled turbidity, then predicting, finding residuals, and reading a correlation coefficient.
Grade 11 Math problem set
A grade 11 problem set fitting a regression line to paired conductance and chloride data from a fictional creek, then predicting, checking residuals, and reading r.
Grade 11 Math problem set
A grade 11 problem set where students compute and interpret a correlation coefficient between a fictional desalination plant's production and energy use.
Grade 12 Math problem set
A grade 12 problem set using a regression line fitted to a fictional reservoir's phosphorus and algae data to predict, find a residual, and judge extrapolation.
Grade 11 Math problem set
Grade 11 students fit a regression line to fictional groundwater nitrate readings, predict a future value, and compute a correlation coefficient.
Grade 11 Math problem set
A grade 11 statistics problem set where students fit a regression line to eight years of fictional rainfall and streamflow data, then interpret r and r-squared.