12.1 Quick revision

A study of how weeds spread (Khan et al. 2018) studied various factors about vehicles that might carry seeds. The researchers found a correlation between the number of grams of mud on a vehicle and the number of seeds carried by the vehicle.

In autumn, the correlation coefficient was given as \(r = 0.931\).

In this study, what variable would be the \(x\)-variable?
In this study, what variable would be the \(y\)-variable?
What is the value of \(R^2\)?
The regression equation is given as \(\hat{y} = 137.4 + 0.3459x\). If \(700\\gs\) of mud is found on the car, how many seeds are predicted to be carried by the vehicle?
In this regression equation, the slope means:
The \(P\)-value for the regression slope was \(0.002\). What does this mean?

References

Khan I, Navie S, George D, O’Donnell C, Adkins SW. Alien and native plant seed dispersal by vehicles. Austral Ecology. Wiley Online Library; 2018;43(1):76–88.