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Question: When a student performs poorly on a midterm exam, the student sometimes is convinced they will do much better on the second midterm. The

Question: When a student performs poorly on a midterm exam, the student sometimes is convinced they will do much better on the second midterm. The following data show the midterm scores (out of 100 points) for eight students in an introductory statistics class.

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Student Midterm 1 (x) Midterm 2 (y) 1 70 89 2 58 53 3 85 83 4 82 75 5 70 81 6 40 35 7 85 47 8 85 97 LA USE SALT (a) Calculate r, the correlation coefficient between the two midterm scores. (Round your answer to four decimal places.) r= Describe the relationship between scores on the first and second midterms? There is a medium to strong negative relationship between scores on the first and second midterms. There is a very weak positive relationship between scores on the first and second midterms. There is a medium to strong positive relationship between scores on the first and second midterms. There is no relationship between scores on the first and second midterms. There is a very weak negative relationship between scores on the first and second midterms. (b) Calculate the regression line for predicting a student's score on the second midterm based on the student's score on the first midterm. (Round your numeric values to three decimal places.) (c) Using the regression line from part (b), predict a student's score on the second midterm if his first score was 85. (Round your answer to one decimal place. )

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