Example 15.11) The following table shows the marks obtained in two tests by 10 students:Marks in Ist Test (X)9.8.876.1047Marks in 2nd Test (Y)87108109.86.(a) Find the least square regression line of Y on X. /(b) Test the hypothesis that marks in the two tests are linearly related.

Answered: Image /qna-images/answer/b8c6abf8-63e7-4035-a052-45d7267f29ed.jpg

Answered: Example 15.11) The following table…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.

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Example 15.11) The following table shows the marks obtained in two tests by 10 students: Marks in Ist Test (X) 9. 8 8 7 6. 10 4 9. 7 Marks in 2nd Test (Y) 7 7 10 8 10 6. 6. (a) Find the least square regression line of Y on X. (b) Test the hypothesis that marks in the two tests are linearly related.