The equations of two lines of regression obtained in a correlation analysisare the following :2X = 8 – 3 Y and 2Y= 5 -XObtain the value of the correlation coefficient.

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Answered: The equations of two lines of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.4: Scatter Plots And Line Of Fit

Problem 18PFA

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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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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The equations of two lines of regression obtained in a correlation analysis are the following : 2X = 8 -3 Y and 2Y= 5 - X Obtain the value of the correlation coefficient.