8. Exponential candy A student opened a bag of M&M'S® Chocolate Candies, dumped them out, and ate all the ones with the "M" on top. When he finished, he put the remaining 30 M&M'S back in the bag and repeated the same process over and over until all the M&M'S were gone. Here are data on the number of M&M'S remaining at the end of each of the first 6 courses. Course Number remaining 1 2 3 4 5 6 30 13 10 3 2 1 (a) Calculate an exponential model for these data using course as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the first course.
8. Exponential candy A student opened a bag of M&M'S® Chocolate Candies, dumped them out, and ate all the ones with the "M" on top. When he finished, he put the remaining 30 M&M'S back in the bag and repeated the same process over and over until all the M&M'S were gone. Here are data on the number of M&M'S remaining at the end of each of the first 6 courses. Course Number remaining 1 2 3 4 5 6 30 13 10 3 2 1 (a) Calculate an exponential model for these data using course as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the first course.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Transcribed Image Text:**Exponential Candy Experiment**
A student conducted an experiment with a bag of M&M’S® Chocolate Candies. He followed these steps:
1. Opened the bag and poured out the candies.
2. Consumed all candies that had the “M” on top.
3. Returned the remaining candies to the bag and repeated the process until no candies were left.
Below is the data representing the number of M&M’s remaining at the end of each of the first six iterations (courses) of this process.
| **Course** | 1 | 2 | 3 | 4 | 5 | 6 |
|-----------------|----|----|---|---|---|---|
| **Number remaining** | 30 | 13 | 10 | 3 | 2 | 1 |
**Tasks:**
(a) Determine an exponential model for this data using the course number as the explanatory variable.
(b) Create a scatterplot of the data points and overlay the exponential model on this plot.
(c) Compute and interpret the residual for the first course.
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