School administrators wondered whether there was a link between class size and the average final percentage grade for students in classes. The following data summarizes the findings for 12 classes.

Predictor Coef SE Coef T P

Grade (%) 86.267 4.735 1.4637 0.087

Students enrolled -0.281 6.045 -1.2157 0.126

S = 4.6357 R-Sq = 12.88%

Test at the = 0.10 level whether larger class sizes have a negative impact on the average student grade in classes. Complete the entire process.

Find the correlation coefficient. Show all work.

Write the regression equation in words.

Interpret the slope of the line in context.

Describe a Type I error in context.