5.3 The data shown below present the average number of surviving bacteria in a cannedfood product and the minutes of exposure to 300° F heat.Number of BacteriaMinutes of Exposure17511082953824715506497318289171016111112b. Fit the straight line model. Compute the summary statistics and the residual plots.What are your conclusions regarding model adequacy?

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

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ISBN:9780079039897

Author:Carter

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Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 17HP

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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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Number of Bacteria Minutes of Exposure 1 175 108 2 95 3 82 4 71 5 50 6 49 7 31 8 28 9 17 10 16 11 11 12 it the straight - line model. Compute the summary statistics and the What are your conclusions regarding model adequacy?