A professor decides to examine the hypothesis that standardized test scores are correlated with performance in the classroom. A student who performed well on a standardized test will also perform well in the classroom. The professor computes a correlation between the students test score on a standardized test and their overall GPA for each student. The data is provided below:





Conduct a hypothesis test to determine if there is a significant correlation between standardized test scores and GPA. Make sure to write an interpretation of the findings. Use a two-tailed with α = .05. Compute the Percentage of the Variability accounted for, Regression equation and Standard Error of the Estimate in the area indicated below.