Psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. Hours without sleep 32 38 48 24 46 35 30 3442 Number of Mistakes 6 8 135 7 6 5 8 12 Hours without sleep x, Number of mistakes"y (a) Find the correlation coefficient. (Round your answer to nearest hundredth. eg. 2.345 would be entered as 2.35) (b) Find the critical value.

Psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. Hours without sleep 32 38 48 24 46 35 30 3442 Number of Mistakes 6 8 135 7 6 5 8 12 Hours without sleep x, Number of mistakes"y (a) Find the correlation coefficient. (Round your answer to nearest hundredth. eg. 2.345 would be entered as 2.35) (b) Find the critical value.

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Description: Psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. Psychologist wants to determine if the

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded.
Hours without sleep 32 38 48 24 46 35 30|3442
Number of Mistakes 6 8 135 7 6 5 8 12
Hours without sleep x, Number of mistakes=y
(a) Find the correlation coefficient.
(Round your answer to nearest hundredth. e.g. 2.345 would be entered as 2.35)
(b) Find the critical value.
(c) By using the critical value test, is there a linear relation exist between hours without sleep and number of mistakes?
(Enter yes or no, e.g. if you answer is "yes", enter as yes)
(d) Find the slope of the least square regression line.
(Round the slope to nearest thousandth. e.g. 2.3457 would be entered as 2.346)
(e) Find the y-intercept of least square regression line.
(Round the y-intercept to nearest thousandth. e.g. 2.3457 would be entered as 2.346)
(e) Is the interpretation of the y-intercept appropriate?
(Enter yes or no, e.g. if you answer is "yes", enter as yes)

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