Annual high temperatures in a certain location have beentracked for a sample of 16 years. Let X represent the yearand Y the high temperature (in C°).Xy518.356 17.587 21.1120.349 19.771024.21124.2312 25.3613 26.8914 26.9215 25.65165678026.4817 30.5118 29.241932.6720 33.1Calculate the correlation coefficient. (Round to threedecimal places.)r =Let's test the significance of the correlation coefficientat a = 0.01 significance level.HoThere is not a significant relationship between theyear and high temperature, i.e., p = 0.Ha: There is a significant relationship between the yearand high temperature, i.e., p = 0.a. Calculate the test statistic. Round to three decimalplaces.t=b. Calculate the p-value. Round to four decimal places.p-valuec. Make a decision.Reject the null hypothesis.Do not reject the null hypothesis.d. Is there enough evidence to support that there is asignificant relationship between the year and hightemperature?NoYes

The correlation coefficient (r) = 0.964 t = 13.565…

Answered: Annual high temperatures in a certain…

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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Planetary Velocity The following table gives the mean velocity of planets in their orbits versus their mean distance from the sun. Note that 1AU astronomical unit is the mean distance from Earth to the sun, abut 93 million miles. Planet d=distance AU v=velocity km/sec Mercury 0.39 47.4 Venus 0.72 35.0 Earth 1.00 29.8 Mars 1.52 24.1 Jupiter 5.20 13.1 Saturn 9.58 9.7 Uranus 19.20 6.8 Neptune 30.05 5.4 Astronomers tell us that it is reasonable to model these data with a power function. a Use power regression to express velocity as a power function of distance from the sun. b Plot the data along with the regression equation. c An asteroid orbits at a mean distance of 3AU from the sun. According to the power model you found in part a, what is the mean orbital velocity of the asteroid?
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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