The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shownbelow the table.The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1sxs 11. Use thisinformation to complete parts (a) through (c) below.LnRegy = a+b In xa = 29.67892724E Click the icon to view the table.b = 29.78535801W Click the icon to view the scatterplot.a. Explain why a logarithmic function was used to model the data. Choose the correct answer below.O A. The data increase rapidly and then continue to increase even more rapidly.CB. The data increase at a steady rate.O C. The data increase rapidly and then begin to decrease.D. The data increase rapidly and then begin to level off.b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number.f(x) =O(Type an expression using x as the variable.)Growth of the Human Brain100-80-60-40-20-0-1012AgePrintDonePercentage The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shownbelow the table.The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1 sxs11. Use thisinformation to complete parts (a) through (c) below.LnRegy = a+b ln xa = 29.67892724b= 29.78535801E Click the icon to view the table.W Click the icon to view the scatterplot.a. Explain why a logarithmic function was used to model the data. Choose the correct answer below.O A. The data increase rapidly and then continue to increase even more rapidly.B. The data increase at a steady rate.OC. The data increase rapidly and then begin to decrease.D. The data increase rapidly and then begin to level off.b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number.f(x) =(Type an expression using x as the variable.)Growth of the Human BrainPercentage ofAdult Size BrainAge130%45%477%687%92%1095%1199%PrintDone

As the data increases rapidly and becomes steady to level off, the logarithmic function can be used.…

The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown below the table. The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1sxs 11. Use this information to complete parts (a) through (c) below. LnReg y = a+b In x a = 29.67892724 E Click the icon to view the table. b= 29.78535801 W Click the icon to view the scatterplot. a. Explain why a logarithmic function was used to model the data. Choose the correct answer below. A. The data increase rapidly and then continue to increase even more rapidly. CB. The data increase at a steady rate. O c. The data increase rapidly and then begin to decrease. D. The data increase rapidly and then begin to level off. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number. f(x) =O (Type an expression using x as the variable.)

The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown below the table. The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1sxs 11. Use this information to complete parts (a) through (c) below. LnReg y = a+b In x a = 29.67892724 E Click the icon to view the table. b= 29.78535801 W Click the icon to view the scatterplot. a. Explain why a logarithmic function was used to model the data. Choose the correct answer below. A. The data increase rapidly and then continue to increase even more rapidly. CB. The data increase at a steady rate. O c. The data increase rapidly and then begin to decrease. D. The data increase rapidly and then begin to level off. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number. f(x) =O (Type an expression using x as the variable.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown
below the table.
The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1sxs 11. Use this
information to complete parts (a) through (c) below.
LnReg
y = a+b In x
a = 29.67892724
E Click the icon to view the table.
b = 29.78535801
W Click the icon to view the scatterplot.
a. Explain why a logarithmic function was used to model the data. Choose the correct answer below.
O A. The data increase rapidly and then continue to increase even more rapidly.
CB. The data increase at a steady rate.
O C. The data increase rapidly and then begin to decrease.
D. The data increase rapidly and then begin to level off.
b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number.
f(x) =O
(Type an expression using x as the variable.)
Growth of the Human Brain
100-
80-
60-
40-
20-
0-
10
12
Age
Print
Done
Percentage

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