+ Stat 608 Chapter 2 Simple Linear regression
+ Introduction: Simple Linear Regression Models
+ Simple Linear Regression (SLR) Models We always draw a scatterplot first to obtain an idea of the strength (measured by correlation), form (e.g., linear, quadratic, exponential), and direction (positive or negative, in the linear case) of any relationship that exists between two variables. On the next slide we see a strong (correlation close to 1) positive (as x increases, y increases) linear (straight line) relationship between the percentage of voters of each state who voted for President Trump in 2016 and in 2020.
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