Pembahasan Ujian PAI: A50 – No. 17 – Juni 2016

\({R^2} = {\left( {\frac{{n\sum\nolimits_{i = 1}^n {{X_i}{Y_i}} – \sum\nolimits_{i = 1}^n {{X_i}} \sum\nolimits_{i = 1}^n {{Y_i}} }}{{\sqrt {n\sum\nolimits_{i = 1}^n {X_i^2} – {{\left( {\sum\nolimits_{i = 1}^n {{X_i}} } \right)}^2}} \sqrt {n\sum\nolimits_{i = 1}^n {Y_i^2} – {{\left( {\sum\nolimits_{i = 1}^n {{Y_i}} } \right)}^2}} }}} \right)^2}\)

\(= {\left( {\frac{{4 \cdot 199,5 – 60 \cdot 12,5}}{{\sqrt {4 \cdot 972 – {{60}^2}} \cdot \sqrt {4 \cdot 41,25 – {{12,5}^2}} }}} \right)^2}\)
\(= 0,914286\)