The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and n a represents the corresponding number of visits to physicians’ offices per year. a. Use regression to find a quadratic function to model the data. b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age. c. What is the minimum number of yearly visits? Round to 1 decimal place.
The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and n a represents the corresponding number of visits to physicians’ offices per year. a. Use regression to find a quadratic function to model the data. b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age. c. What is the minimum number of yearly visits? Round to 1 decimal place.
Solution Summary: The author explains how to calculate the quadratic function by using regression to model the provided data.
The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and
n
a
represents the corresponding number of visits to physicians’ offices per year.
a. Use regression to find a quadratic function to model the data.
b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age.
c. What is the minimum number of yearly visits? Round to 1 decimal place.
1. Show that the vector field
F(x, y, z)
=
(2x sin ye³)ix² cos yj + (3xe³ +5)k
satisfies the necessary conditions for a conservative vector field, and find a potential function for
F.
1. Newton's Law of Gravitation (an example of an inverse square law) states that the magnitude
of the gravitational force between two objects with masses m and M is
|F|
mMG
|r|2
where r is the distance between the objects, and G is the gravitational constant. Assume that the
object with mass M is located at the origin in R³. Then, the gravitational force field acting on
the object at the point r = (x, y, z) is given by
F(x, y, z) =
mMG
r3
r.
mMG
mMG
Show that the scalar vector field f(x, y, z) =
=
is a potential function for
r
√√x² + y² .
Fi.e. show that F = Vf.
Remark: f is the negative of the physical potential energy, because F = -V(-ƒ).
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY