<div style = "position:fixed; visibility: hidden"> `$$\require{color}\definecolor{yellow}{rgb}{1, 0.8, 0.16078431372549}$$` `$$\require{color}\definecolor{orange}{rgb}{0.96078431372549, 0.525490196078431, 0.203921568627451}$$` `$$\require{color}\definecolor{green}{rgb}{0, 0.474509803921569, 0.396078431372549}$$` </div> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ TeX: { Macros: { yellow: ["{\\color{yellow}{#1}}", 1], orange: ["{\\color{orange}{#1}}", 1], green: ["{\\color{green}{#1}}", 1] }, loader: {load: ['[tex]/color']}, tex: {packages: {'[+]': ['color']}} } }); </script> <style> .yellow {color: #FFCC29;} .orange {color: #F58634;} .green {color: #007965;} </style> # Simple Linear Model We remember that `$$\yellow{Y_i} = \beta_0 + \beta_1 \orange{X_i} + \green{\varepsilon_i}$$` with - .yellow[reponse variable] - .orange[predictor variable] - .green[error term]