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How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). X3 6 12 18 26 y 95 140 158 175 60 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data 180 180t 160 160 S 20 20 E 140 140 15 15 120- 120 100 100 10 10 A 80 80 10 15 20 25 60 80 100 120 140 160 60 80 100 120 140 160 10 15 20 25 x(age (in manths)) x(age in monthsi) x(age cin monthsi) x(age (in manths)) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (c) Use a calculator to verify that x- 65, 7- 1189, y - 628, y - 87,814, and Ey - 9,824. Compute r. (Round your answer to four decimal places.) As x increases from 3 to 26 months, does the value of rimply that y should tend to increase or decrease? Explain your answer. O Given our value of r, we can not draw any condusions for the behavior of y as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, y should tend to increase as x increases.

How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). X3 6 12 18 26 y 95 140 158 175 60 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data 180 180t 160 160 S 20 20 E 140 140 15 15 120- 120 100 100 10 10 A 80 80 10 15 20 25 60 80 100 120 140 160 60 80 100 120 140 160 10 15 20 25 x(age (in manths)) x(age in monthsi) x(age cin monthsi) x(age (in manths)) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (c) Use a calculator to verify that x- 65, 7- 1189, y - 628, y - 87,814, and Ey - 9,824. Compute r. (Round your answer to four decimal places.) As x increases from 3 to 26 months, does the value of rimply that y should tend to increase or decrease? Explain your answer. O Given our value of r, we can not draw any condusions for the behavior of y as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, y should tend to increase as x increases.

MATLAB: An Introduction with Applications
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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**Educational Website Transcription** **Title: Estimating the Weight of a Healthy Shetland Pony** **Introduction:** This educational module explores how to determine the average weight of a healthy Shetland pony based on its age in months. Let \( x \) be the age of the pony (in months) and \( y \) be the average weight of the pony (in kilograms). **Graphical Data Analysis:** 1. **Scatter Diagrams:** - Three scatter plots are provided that show the relationship between the age of the pony \( x \) (in months) and its average weight \( y \) (in kilograms). - Each scatter plot visualizes a different set of data points, representing different hypothetical scenarios or data samplings. 2. **Axes Labels:** - The \( x \)-axis represents the age of the pony in months. - The \( y \)-axis represents the average weight of the pony in kilograms. 3. **Data Points:** - The points plotted on each graph represent the data collected. - The graph on the left shows ages ranging from approximately 0 to 25 months with weights from 60 to 180 kg. - The middle graph shows ages from 60 to 160 months with weights ranging from 5 to 25 kg. - The graph on the right mirrors the left graph in structure. **Analysis and Questions:** (a) **Scatter Diagram Analysis:** - Examine each scatter diagram and determine which line best represents the data trend. (b) **Correlation Estimation:** - Assess whether the data presents a low, moderate, or strong correlation. - Decide if the correlation is positive or negative. (c) **Statistical Calculations:** - Verify the following sums using a calculator: \(\sum x = 65\), \(\sum x^2 = 1189\), \(\sum y = 628\), \(\sum y^2 = 87,814\), and \(\sum xy = 9,824\). - Calculate the correlation coefficient \( r \) and round it to four decimal places. (d) **Predictive Analysis:** - Consider changes in \( y \) as \( x \) increases from 3 to 26 months based on the calculated correlation. - Choose the correct statement: - The value of \( y \) remains constant. -
Transcribed Image Text:**Educational Website Transcription** **Title: Estimating the Weight of a Healthy Shetland Pony** **Introduction:** This educational module explores how to determine the average weight of a healthy Shetland pony based on its age in months. Let \( x \) be the age of the pony (in months) and \( y \) be the average weight of the pony (in kilograms). **Graphical Data Analysis:** 1. **Scatter Diagrams:** - Three scatter plots are provided that show the relationship between the age of the pony \( x \) (in months) and its average weight \( y \) (in kilograms). - Each scatter plot visualizes a different set of data points, representing different hypothetical scenarios or data samplings. 2. **Axes Labels:** - The \( x \)-axis represents the age of the pony in months. - The \( y \)-axis represents the average weight of the pony in kilograms. 3. **Data Points:** - The points plotted on each graph represent the data collected. - The graph on the left shows ages ranging from approximately 0 to 25 months with weights from 60 to 180 kg. - The middle graph shows ages from 60 to 160 months with weights ranging from 5 to 25 kg. - The graph on the right mirrors the left graph in structure. **Analysis and Questions:** (a) **Scatter Diagram Analysis:** - Examine each scatter diagram and determine which line best represents the data trend. (b) **Correlation Estimation:** - Assess whether the data presents a low, moderate, or strong correlation. - Decide if the correlation is positive or negative. (c) **Statistical Calculations:** - Verify the following sums using a calculator: \(\sum x = 65\), \(\sum x^2 = 1189\), \(\sum y = 628\), \(\sum y^2 = 87,814\), and \(\sum xy = 9,824\). - Calculate the correlation coefficient \( r \) and round it to four decimal places. (d) **Predictive Analysis:** - Consider changes in \( y \) as \( x \) increases from 3 to 26 months based on the calculated correlation. - Choose the correct statement: - The value of \( y \) remains constant. -
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