It is believed that GPA (grade point average, based on a four-point scale) should have a positive linear relationship with ACT scores. Given below is the MicrosoftExcel output for predicting GPA using ACT scores based a data set of eight randomly chosen students from a Big Ten university.

Regression Statistics Multiple R 0.7598 R Square 0.5774 Adjusted R Square 0.5069 Standard Error 0.2691 Observations 8 ANOVA di SS MS F Significance F Regression 0.5940 0.5940 8.1986 0.0286 Residual 0.4347 0.0724 Total 1.0287 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 0.5681 0.9284 0.6119 0.5630 -1.7036 2.8398 ACT 0.1021 0.0356 2.8633 0.0286 0.0148 0.1895