Part 2: Free Response Answer completely, but be concise. Write sequentially and show all steps. 1. A college teacher asked a random sample of 10 of the 250 students in her introductory statistics class to record the total amount of time (in hours) they spent studying for a particular test and then combined these times with the students' scores on the test. She then performed a regression analysis on the data. Below is numerical and graphical output from her computer software. Predictor Coef SE Coef Scatterplot of Grade vs Study Time RACKSLEN Plot Constant 62.100 4. 893 12 . 69 P Study Time 0.000 12.000 2. 825 4.25 0.003 5 - 7. 73709 R-Sq - 69.34 R-Sq (adj) - 65.48 Assuming that the conditions for inference have been satisfied, answer the following questions using the given data above. as 20 20 25 D5 10 15 20 a) Do these data provide convincing evidence that there is a linear relationship between time spent studying and test score? Perform the appropriate significance test to support your conclusion. b) Construct and interpret a 85% confidence interval for the slope of the population regression line for predicting test score from study time, Can the teacher tell her students that her data establishes that studying more will improve their grades? Why or why not