Compute the linear correlation coefficient for the data below, rounding to three decimal places.- 10- 1Xy- 11- 3A.0.792B. 0.990C. 0.819O D. 0.881-9-1-216-58-75-8 -616-410- 313

Given data is x y -11 -3 -9 -1 -2 16 -5 8 -7 5 -8 1 -6 6 -4 10 -3 13 -10 -1

Answered: Compute the linear correlation…

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 1E

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For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a scatterplot. b. calculate the correlation coefficient. c. calculate the least squares line and graph it on the scatterplot. d. predict the y value when x is 11.
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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Compute the linear correlation coefficient for the data below, rounding to three decimal places. X y - 11 - 3 A. 0.792 B. 0.990 C. 0.819 D. 0.881 -9 -2 -1 16 580 -5 -7 -8 -6 5 1 6 *** -4 10 - 3 13 - 10 -1