/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.40 Determining tree biomass It is e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q.40 (page 789)

Determining tree biomass It is easy to measure the 鈥渄iameter at breast height鈥� of a tree. It鈥檚 hard to measure the total 鈥渁boveground biomass鈥� of a tree, because to do this you must cut and weigh the tree. The biomass is important for studies of ecology, so ecologists commonly estimate it using a power model. Combining data on 378trees in tropical rain forests gives this relationship between biomass y measured in kilograms and diameter x measured in centimeters:

lny^=-2.00+2.42lnx

Short Answer

Expert verified

The biomass of a tropical tree 30centimeters in diameter

isy^=508.213.

Step by step solution

01

Given Information

Given in the question that,

lny^=-2.00+2.42lnx.

02

Explanation

we must calculate the biomass of a tropical tree with a diameter of 30centimeters. As a result, we'll rate the model as follows:

lny^=-2.00+2.42lnx

鈬�lny^=-2.00+2.42ln(30)

鈬�lny^=6.23090

localid="1651133502568" 鈬�y^=e6.23090

=508.213

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Here are some data on the hearts of various mammals

MammalHeart weight (grams)Length of cavity of leftventricle (centimeters)Mouse0.130.55Rat0.641.0Rabbit5.82.2Dog1024.0Sheep2106.5Ox203012.0Horse390016.0

(a) Make an appropriate scatterplot for predicting heart weight from length. Describe what you see.

(b) Use transformations to linearize the relationship. Does the relationship between heart weight and length seem to follow an exponential model or a power model? Justify your answer.

(c) Perform least-squares regression on the transformed data. Give the equation of your regression line. Define any variables you use.

(d) Use your model from part (c) to predict the heart weight of a human who has a left ventricle 6.8centimeters long. Show your work.

Does how long young children remain at the lunch table help predict how much they eat? Here are data on a random sample of 20toddlers observed over several months. 鈥淭ime鈥� is the average number of minutes a child spent at the table when lunch was served. 鈥淐alories鈥� is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day.

(a) A scatterplot of the data with the least-squares line added is shown below. Describe what this graph tells you about the relationship between these two variables.

Minitab output from a linear regression on these data is shown below.

PredictorCoefSE CoefTPConstant560.6529.3719.090.000Time-3.07710.8498-3.620.002S=23.3980R-Sq=42.1%R-Sq(adj)=38.9%

(b) What is the equation of the least-squares regression line for predicting calories consumed from the time at the table? Define any variables you use.

(c) Interpret the slope of the regression line in context. Does it make sense to interpret the intercept in this case? Why or why not?

(d) Do these data provide convincing evidence of a negative linear relationship between time at the table and calories consumed in the population of toddlers? Carry out an appropriate test at the A 伪=0.01level to help answer this question.

Side effects A drug manufacturer claims that less than 10 % of patients who take its new drug for treating Alzheimer's disease will experience nausea. To test this claim, researchers conduct an experiment. They give the new drug to a random sample of 300 out of 5000 Alzheimer's patients whose families have given informed consent for the patients to participate in the study. In all, 25 of the subjects experience nausea. Use these data to perform a test of the drug manufacturer's claim at the 伪=0.05significance level.

Two six-sided dice are rolled and the sum of the faces showing is recorded after each roll. Let X=the number of rolls required until a sum greater than 7is obtained. If 100trials are conducted, which of the following is most likely to be part of the probability distribution of X?

Refer to Exercise 5.

(a) Interpret the value of SEb in context.

(b) Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate the confidence interval. Show your work.

(c) Interpret the interval from part (b) in context.

(d) Explain the meaning of 鈥�90% confident鈥� in context.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.