General Mathematics Β· Unit 3 Β· Bivariate data analysis 2 Β· Fitting a linear model to numerical data
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A least-squares line was fitted to data on residential solar panel installations, with y representing the number of installations and x representing the number of months since January 2020 (e.g. x = 6 for July 2020). The fitted equation is y = 12.4x + 285. Interpret the y-intercept and slope of the fitted line.
A least-squares line was fitted to data relating the number of hours of study per week (x) and exam scores (y) for a group of students. The equation of the fitted line is: y = 3.2x + 42.5 Interpret the y-intercept and slope of the fitted line.
A biologist studying koala populations in a conservation reserve modelled the relationship between the number of years since 2010 (\(x\)) and the estimated koala population (\(y\)) using a least-squares regression line \(y = 12.4x + 287\). Interpret the slope of this fitted line.