Spreading of a Disease Jack and Diane live in a small town of 50 people. Unfortunately, both Jack and Diane have a cold. Those who come in contact with someone who has this cold will themselves catch the cold. The following data represent the number of people in the small town who have caught the cold after t days. (a) Using a graphing utility, draw a scatter diagram of the data. Comment on the type of relation that appears to exist between the days and number of people with a cold. (b) Using a graphing utility, build a logistic model from the data. (c) Graph the function found in part (b) on the scatter diagram. (d) According to the function found in part (b). what is the maximum number of people who will catch the cold? In reality', what is the maximum number of people who could catch the cold? (e) Sometime between the second and third day, 10 people in the town had a cold. According to the model found in part (b). when did 10 people have a cold? (f) How long will it take for 46 people to catch the cold?
Spreading of a Disease Jack and Diane live in a small town of 50 people. Unfortunately, both Jack and Diane have a cold. Those who come in contact with someone who has this cold will themselves catch the cold. The following data represent the number of people in the small town who have caught the cold after t days. (a) Using a graphing utility, draw a scatter diagram of the data. Comment on the type of relation that appears to exist between the days and number of people with a cold. (b) Using a graphing utility, build a logistic model from the data. (c) Graph the function found in part (b) on the scatter diagram. (d) According to the function found in part (b). what is the maximum number of people who will catch the cold? In reality', what is the maximum number of people who could catch the cold? (e) Sometime between the second and third day, 10 people in the town had a cold. According to the model found in part (b). when did 10 people have a cold? (f) How long will it take for 46 people to catch the cold?
Solution Summary: The author illustrates the logistic model by drawing a scatter diagram of the data and commenting on the relation between the days and the number of people with colds.
Spreading of a Disease Jack and Diane live in a small town of 50 people. Unfortunately, both Jack and Diane have a cold. Those who come in contact with someone who has this cold will themselves catch the cold. The following data represent the number of people in the small town who have caught the cold after t days.
(a) Using a graphing utility, draw a scatter diagram of the data. Comment on the type of relation that appears to exist between the days and number of people with a cold.
(b) Using a graphing utility, build a logistic model from the data.
(c) Graph the function found in part (b) on the scatter diagram.
(d) According to the function found in part (b). what is the maximum number of people who will catch the cold? In reality', what is the maximum number of people who could catch the cold?
(e) Sometime between the second and third day, 10 people in the town had a cold. According to the model found in part (b). when did 10 people have a cold?
(f) How long will it take for 46 people to catch the cold?
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
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