Please answer all questions A random sample of second year business students at a small Canadian university were polled by a researcher attempting to establish a relationship between hours of study in the week immediately preceding a major midterm and the marks received on the exam. The data follow: Student 1 2 3 4 5 6 7 8 9 10 Hours 25 12 18 26 19 20 23 15 22 8 Exam(%) 93 57 55 90 82 95 95 80 85 61 (∑(Hours)=188 ∑〖Hours^2=3832 ∑(Exam%)=793 ∑(Exam%)^2=65,143 ∑(Hours)(Exam%)XY=15,540 Is there a relationship between time spent studying and exam grades? (To answer this question, you must, of course, perform some appropriate calculations.) What is the correlation between study time and exam grades? If there is a relationship, describe it in your own words. Find the equation of the regression line for predicting exam scores from time spent studying. Is the sign of the slope logical? If the slope had the opposite sign, what would that tell you? How well would you predict Fred will perform on the exam if he spends 23 hours studying? Determine the coefficient of determination and interpret your results. What is the 95% confidence interval (i.e., prediction interval) for exam performance of Fred who studied 25 hours?
Please answer all questions
A random sample of second year business students at a small Canadian university were polled by a researcher attempting to establish a relationship between hours of study in the week immediately preceding a major midterm and the marks received on the exam. The data follow:
Student 1 2 3 4 5 6 7 8 9 10
Hours 25 12 18 26 19 20 23 15 22 8
Exam(%) 93 57 55 90 82 95 95 80 85 61
(∑(Hours)=188 ∑〖Hours^2=3832 ∑(Exam%)=793 ∑(Exam%)^2=65,143
∑(Hours)(Exam%)XY=15,540
Is there a relationship between time spent studying and exam grades? (To answer this question, you must, of course, perform some appropriate calculations.) What is the
Find the equation of the regression line for predicting exam scores from time spent studying.
Is the sign of the slope logical? If the slope had the opposite sign, what would that tell you?
How well would you predict Fred will perform on the exam if he spends 23 hours studying?
Determine the coefficient of determination and interpret your results.
What is the 95% confidence interval (i.e., prediction interval) for exam performance of Fred who studied 25 hours?
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