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The best predicted temperature at a time when a cricket chirps 3000 times in 1​ minute, based on the regression equation, is ______________ Fahrenheit.  (Round to the nearest integer as needed.)     What is wrong with this predicted​ temperature?     A. It is unrealistically high. The value 3000 is far outside of the range of observed values.   B. It is only an approximation. An unrounded value would be considered accurate.     C. The chirps in 1 minute should have been the dependent variable.     D.Nothing is wrong with this value. It can be treated as an accurate prediction.

The best predicted temperature at a time when a cricket chirps 3000 times in 1​ minute, based on the regression equation, is ______________ Fahrenheit.  (Round to the nearest integer as needed.)     What is wrong with this predicted​ temperature?     A. It is unrealistically high. The value 3000 is far outside of the range of observed values.   B. It is only an approximation. An unrounded value would be considered accurate.     C. The chirps in 1 minute should have been the dependent variable.     D.Nothing is wrong with this value. It can be treated as an accurate prediction.

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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The best predicted temperature at a time when a cricket chirps 3000 times in 1​ minute, based on the regression equation, is ______________ Fahrenheit.  (Round to the nearest integer as needed.)

 

 

What is wrong with this predicted​ temperature?
 
 
A. It is unrealistically high. The value 3000 is far outside of the range of observed values.
 
B. It is only an approximation. An unrounded value would be considered accurate.
 
 
C. The chirps in 1 minute should have been the dependent variable.
 
 
D.Nothing is wrong with this value. It can be treated as an accurate prediction.
**Educational Website Content: Analyzing Cricket Chirps and Temperature** ### Problem Statement The table below lists the number of cricket chirps in one minute and the corresponding temperatures in degrees Fahrenheit (°F). Your task is to find the regression equation, using chirps in one minute as the independent variable \((x)\). Then, predict the temperature when cricket chirps occur 3000 times in one minute using the regression equation. Discuss any potential issues with this predicted temperature. | Chirps in 1 min | 791 | 980 | 1008 | 1211 | 904 | 1032 | 1070 | 961 | |-----------------|-----|-----|------|------|-----|------|------|-----| | Temperature (°F) | 72.1 | 80.1 | 82.5 | 91.8 | 79.8 | 83.8 | 86.7 | 74.5 | ### Task 1. **Find the Regression Equation:** - The regression equation is represented as \(\hat{y} = a + bx\), where \(\hat{y}\) is the predicted temperature. - Round the y-intercept \(a\) to one decimal place. - Round the slope \(b\) to four decimal places. 2. **Prediction and Analysis:** - Use the regression equation to predict the temperature when there are 3000 chirps in one minute. - Evaluate any issues with the prediction. ### Detailed Explanation - The regression equation is vital for establishing the relationship between two variables: cricket chirps and temperature. - Predicting temperatures far outside the observed data range, such as 3000 chirps per minute, may lead to inaccurate predictions due to extrapolation beyond the data's range.
Transcribed Image Text:**Educational Website Content: Analyzing Cricket Chirps and Temperature** ### Problem Statement The table below lists the number of cricket chirps in one minute and the corresponding temperatures in degrees Fahrenheit (°F). Your task is to find the regression equation, using chirps in one minute as the independent variable \((x)\). Then, predict the temperature when cricket chirps occur 3000 times in one minute using the regression equation. Discuss any potential issues with this predicted temperature. | Chirps in 1 min | 791 | 980 | 1008 | 1211 | 904 | 1032 | 1070 | 961 | |-----------------|-----|-----|------|------|-----|------|------|-----| | Temperature (°F) | 72.1 | 80.1 | 82.5 | 91.8 | 79.8 | 83.8 | 86.7 | 74.5 | ### Task 1. **Find the Regression Equation:** - The regression equation is represented as \(\hat{y} = a + bx\), where \(\hat{y}\) is the predicted temperature. - Round the y-intercept \(a\) to one decimal place. - Round the slope \(b\) to four decimal places. 2. **Prediction and Analysis:** - Use the regression equation to predict the temperature when there are 3000 chirps in one minute. - Evaluate any issues with the prediction. ### Detailed Explanation - The regression equation is vital for establishing the relationship between two variables: cricket chirps and temperature. - Predicting temperatures far outside the observed data range, such as 3000 chirps per minute, may lead to inaccurate predictions due to extrapolation beyond the data's range.
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