A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between using the explanatory variable x = study time per week (average number of hours) to predict the response variable y = college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. Student 1 14 2.8 Study Time GPA Study Time Study Time 2 5 2.6 3 12 3.3 (i) The predicted GPA for a student who studies 9 hours per week is 2.97. (Round to two decimal places as needed.) 4 6 2.8 OA. For every 1 hour increase in the study time, the GPA is predicted to increase by (Round to two decimal places as needed.) Study Time The scatterplot shows a positive linear relationship between the two variables. The correlation coefficient r= 0.85 shows two variables, with longer study times associated with higher GPAS. (Round to two decimal places as needed.) b. Find and interpret the prediction equation by reporting the predicted GPA for a student who studies (i) 9 hours per week, (ii) 26 hours per week. The regression equation is y= 2.43 + (0.06) x. (Round to two decimal places as needed.) ⒸB. For every 1 hour increase in the study time, the GPA is predicted to decrease by (Round to two decimal places as needed.) OC. The study time is not associated with the GPA. 5 20 3.9 (ii) The predicted GPA for a student who studies 26 hours per week is 3.99. (Round to two decimal places as needed.) c. Interpret the slope in context. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. 6 15 3.4 a strong positive linear 7 11 3.1 Study Time 8 26 3.7 relationship between the D

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