List of top Mathematics and Quantitative Ecology Questions on Linear regression asked in GATE EY

The scatter plot below shows annual rainfall (in mm) on the x axis and the number of plant species recorded at a site on the y axis. Each point is one location, and the points trace out a clear increasing pattern that looks close to a straight line as rainfall rises.

Based on the pattern in the graph, which one of the following statistical methods would be most appropriate to model the relationship between annual rainfall and the number of plant species?

In a population, the frequency of an allele changes with time as shown in the table below.

Year (x)	0	10	20	30	40
Allele frequency (y)	0.1	0.2	0.3	0.4	0.5

Which one of the following describes how allele frequency changes with year?

In the graph shown, the solid line represents the best fit from an ordinary least-squares regression, where X is the predictor variable and Y is the response variable. In this case, which one of the following assumptions of the linear regression is violated?