Consider the following set of data, I m = Number 1 b = Number 1.7 2 2.8 3.6 4.3 Y 294 (Again, round your answers to 4 deimcal places.) 199 177 139 Suppose we suspect that and y are related by a power relation y = bam for some constants m and b. (a) Let X = log10 (2) and Y = log10 (y), and perform a linear regression with X as the independent variable and Y as the dependent variable. What is the slope and y-intercept of this regression line? (Round each answer to 4 decimal places.) Slope: Number 115 y-intercept: Number (b) From your work in (a), we conclude that y brm where 101

Consider the following set of data, I m = Number 1 b = Number 1.7 2 2.8 3.6 4.3 Y 294 (Again, round your answers to 4 deimcal places.) 199 177 139 Suppose we suspect that and y are related by a power relation y = bam for some constants m and b. (a) Let X = log10 (2) and Y = log10 (y), and perform a linear regression with X as the independent variable and Y as the dependent variable. What is the slope and y-intercept of this regression line? (Round each answer to 4 decimal places.) Slope: Number 115 y-intercept: Number (b) From your work in (a), we conclude that y brm where 101

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
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.
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.