Is there a relationship between a student’s GPA and the number of pencils in his or her backpack? Jordynn and Angie decided to find out by selecting a random sample of students from their high school. Here is computer output from a least-squares regression analysis using x = number of pencils and y = GPA:

Is there convincing evidence of a linear relationship between GPA and number of pencils for students at this high school? Assume the conditions for inference are met.

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Predictor Сoef SE Coef T P Constant 3.2413 0.1809 17.920 0.0000 Pencils -0.0423 0.0631 -0.670 0.5062 S= 0.738533 R-Sq = 0.9% R-Sq(adj) = 0.0%