2. The height of a bamboo shoot is measured at noon every day. The results for the first week are given in the table: x: day number y: height in inches 1 26.8 2 34.3 3 44.1 4 51.5 NOV 5 61.7 6 69.8 7 ert word 79.2 Note: you don't have to show your work in this problem; just indicate which software you have used to do the calculations. woled xod sill (a) find the coefficient of correlation between x and y; does the result indicate strong correlation?
2. The height of a bamboo shoot is measured at noon every day. The results for the first week are given in the table: x: day number y: height in inches 1 26.8 2 34.3 3 44.1 4 51.5 NOV 5 61.7 6 69.8 7 ert word 79.2 Note: you don't have to show your work in this problem; just indicate which software you have used to do the calculations. woled xod sill (a) find the coefficient of correlation between x and y; does the result indicate strong correlation?
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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Need help on 2 a,b,c
![**Educational Website Transcription:**
---
### Fall 2022 Mid-Term Exam
**2.**
**(b)** Find the regression equation giving the height \( y \) as a (linear) function of the day number \( x \).
- Write the regression equation in the box below:
*[Box for answer]*
**(c)** Use the regression equation to predict the height of this bamboo shoot on day number 8.
- On day number 8, the height of the shoot is predicted to be **about** __________ inches.
**3.** Frank sews colorful pillows and sells them. His fixed cost is $40 per week, and the cost of the materials for one pillow is $5. Frank sells the pillows for $15 each. If \( x \) stands for the number of pillows made/sold in one week, then
**(a)** Write the weekly cost equation:
*[Box for answer]*
**(b)** Write the weekly revenue equation:
*[Box for answer]*
**(c)** Find the break-even point:
- Show the work above, and write your answer in the box below:
*[Box for answer]*
**(d)** Find the profit that Frank would make if he sews and sells 15 pillows in one week:
- Show the work above, and write your answer in the box below:
*[Box for answer]*
---
This document provides several algebraic exercises involving linear regression and cost-revenue-profit analysis, aimed at enhancing students' understanding of these concepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c7d557f-b8ce-455f-9604-6b1b708172f0%2F22e4de1c-75ea-49f2-9592-afd58c10b471%2Fe9lxvk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription:**
---
### Fall 2022 Mid-Term Exam
**2.**
**(b)** Find the regression equation giving the height \( y \) as a (linear) function of the day number \( x \).
- Write the regression equation in the box below:
*[Box for answer]*
**(c)** Use the regression equation to predict the height of this bamboo shoot on day number 8.
- On day number 8, the height of the shoot is predicted to be **about** __________ inches.
**3.** Frank sews colorful pillows and sells them. His fixed cost is $40 per week, and the cost of the materials for one pillow is $5. Frank sells the pillows for $15 each. If \( x \) stands for the number of pillows made/sold in one week, then
**(a)** Write the weekly cost equation:
*[Box for answer]*
**(b)** Write the weekly revenue equation:
*[Box for answer]*
**(c)** Find the break-even point:
- Show the work above, and write your answer in the box below:
*[Box for answer]*
**(d)** Find the profit that Frank would make if he sews and sells 15 pillows in one week:
- Show the work above, and write your answer in the box below:
*[Box for answer]*
---
This document provides several algebraic exercises involving linear regression and cost-revenue-profit analysis, aimed at enhancing students' understanding of these concepts.
Transcribed Image Text:**Problem 2: Bamboo Shoot Growth Measurement**
The height of a bamboo shoot is measured at noon every day. The results for the first week are provided in the table below:
| x: Day Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---------------|----|----|----|----|----|----|----|
| y: Height (in inches) | 26.8 | 34.3 | 44.1 | 51.5 | 61.7 | 69.8 | 79.2 |
**Instructions:**
Note: You do not need to show your work for this problem; just indicate which software you have used to do the calculations.
(a) Find the coefficient of correlation between x (day number) and y (height). Does the result indicate a strong correlation?
---
This problem is designed for students to apply knowledge of statistical correlation, particularly using software tools to compute and interpret the coefficient of correlation.
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