Why does high leverage point in SLR have unusual covariate values

Question

As stated above and also wondering what a covariate value means, is it just covariance? IF not, then what it is and what is the difference between covariance and covariate

Answer 1

A covariate means the same as predictor, input variable or the old term independent variable. So it is not the same thing as covariance! And then the Q in the title

Why does high leverage point in SLR have unusual covariate values?

Leverage means influence, so a high leverage point is a point with high influence on the fitted regression model. You can find details at Leverages and effect of leverage points. In short, a high leverage point is an outlier in $X$-space.