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4. Find the regression equation for predicting final score from midterm score, based on the following information: average midterm score 70, SD 10 average final score 55, SD 20, r 0.60

4. Find the regression equation for predicting final score from midterm score, based on the following information: average midterm score 70, SD 10 average final score 55, SD 20, r 0.60

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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4. Find the regression equation for predicting final score from midterm score, based on the following information: average midterm score 70, SD 10 average final score 55, SD 20, r 0.60 5. Find the regression equation for predicting weight from height for men age 18-24 in HANESS, based on the following information: average height 70 inches, SD 3 inches average weight 180 pounds, SD 45 pounds, r 0.40 6. A box has 10 tickets, numbered 1 to 10. A ticket is drawn at random. The player is a winner if the ticket has a number greater than 4 (event A) or if the ticket has an even number (event B). (a) Find the chances each of A and B happening. (b) Show that A and B are independent. (c) Find the chance that a ticket selected at random falls into at least one of the 2 categories: over 4 or even. i. Could you simply add the chances of A to the chances of B to get this answer? ii. Show how the correct answer is derived from the chances of A and the chances of B. Explain each of the logically correct steps. 7. A die will be rolled 9 times. What is the chance of obtaining exactly three 5's? 8. A fair coin is tossed 100 times. Estimate the chance of getting exactly 50 heads. (Show work.)
Transcribed Image Text:4. Find the regression equation for predicting final score from midterm score, based on the following information: average midterm score 70, SD 10 average final score 55, SD 20, r 0.60 5. Find the regression equation for predicting weight from height for men age 18-24 in HANESS, based on the following information: average height 70 inches, SD 3 inches average weight 180 pounds, SD 45 pounds, r 0.40 6. A box has 10 tickets, numbered 1 to 10. A ticket is drawn at random. The player is a winner if the ticket has a number greater than 4 (event A) or if the ticket has an even number (event B). (a) Find the chances each of A and B happening. (b) Show that A and B are independent. (c) Find the chance that a ticket selected at random falls into at least one of the 2 categories: over 4 or even. i. Could you simply add the chances of A to the chances of B to get this answer? ii. Show how the correct answer is derived from the chances of A and the chances of B. Explain each of the logically correct steps. 7. A die will be rolled 9 times. What is the chance of obtaining exactly three 5's? 8. A fair coin is tossed 100 times. Estimate the chance of getting exactly 50 heads. (Show work.)
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