Consider the following data for two variables, x and y. 32 18 15 26 y 11 | 19 20| 17 | 21 (a) Develop an estimated regression equation for the data of the form ý = b, + b,x. (Round b, to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) O The high p-value and low coefficient of determination indicate that the equation is inadequate. O The high p-value and high coefficient of determination indicate that the equation is adequate. O The low p-value and low coefficient of determination indicate that the equation is inadequate. O The low p-value and high coefficient of determination indicate that the equation is adequate. (b) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x². (Round b, to two decimal places and b, to three decimal places and b, to four decimal places.) タ= Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) O The high p-value and low coefficient of determination indicate that the equation is inadequate. O The high p-value and high coefficient of determination indicate that the equation is adequate. O The low p-value and low coefficient of determination indicate that the equation is inadequate. O The low p-value and high coefficient of determination indicate that the equation is adequate. (c) Use the model from part (b) to predict the value of y when x = 20. (Round your answer to two decimal places.)
Consider the following data for two variables, x and y. 32 18 15 26 y 11 | 19 20| 17 | 21 (a) Develop an estimated regression equation for the data of the form ý = b, + b,x. (Round b, to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) O The high p-value and low coefficient of determination indicate that the equation is inadequate. O The high p-value and high coefficient of determination indicate that the equation is adequate. O The low p-value and low coefficient of determination indicate that the equation is inadequate. O The low p-value and high coefficient of determination indicate that the equation is adequate. (b) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x². (Round b, to two decimal places and b, to three decimal places and b, to four decimal places.) タ= Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) O The high p-value and low coefficient of determination indicate that the equation is inadequate. O The high p-value and high coefficient of determination indicate that the equation is adequate. O The low p-value and low coefficient of determination indicate that the equation is inadequate. O The low p-value and high coefficient of determination indicate that the equation is adequate. (c) Use the model from part (b) to predict the value of y when x = 20. (Round your answer to two decimal places.)
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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![### Consider the following data for two variables, \( x \) and \( y \).
| \( x \) | 9 | 32 | 18 | 15 | 26 |
|---------|----|----|----|----|----|
| \( y \) | 11 | 19 | 20 | 17 | 21 |
#### (a) Develop an estimated regression equation for the data of the form \( \hat{y} = b_0 + b_1x \).
(Round \( b_0 \) to two decimal places and \( b_1 \) to three decimal places.)
\( \hat{y} = \) [Input Box]
Comment on the adequacy of this equation for predicting \( y \). (Use \( \alpha = 0.05 \).)
- [ ] The high \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The high \( p \)-value and high coefficient of determination indicate that the equation is adequate.
- [ ] The low \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The low \( p \)-value and high coefficient of determination indicate that the equation is adequate.
#### (b) Develop an estimated regression equation for the data of the form \( \hat{y} = b_0 + b_1x + b_2x^2 \).
(Round \( b_0 \) to two decimal places, \( b_1 \) to three decimal places, and \( b_2 \) to four decimal places.)
\( \hat{y} = \) [Input Box]
Comment on the adequacy of this equation for predicting \( y \). (Use \( \alpha = 0.05 \).)
- [ ] The high \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The high \( p \)-value and high coefficient of determination indicate that the equation is adequate.
- [ ] The low \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The low \( p \)-value and high coefficient of determination indicate that the equation is adequate.
#### (c) Use the model from part (b) to predict the value of \( y \) when \( x = 20 \).
(Round your answer to two decimal](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F358923dd-976b-4983-a367-bafd3b4b55c1%2F54786119-8445-411b-aa1e-e57a4d79aa3b%2Fcjk3u9l_processed.png&w=3840&q=75)
Transcribed Image Text:### Consider the following data for two variables, \( x \) and \( y \).
| \( x \) | 9 | 32 | 18 | 15 | 26 |
|---------|----|----|----|----|----|
| \( y \) | 11 | 19 | 20 | 17 | 21 |
#### (a) Develop an estimated regression equation for the data of the form \( \hat{y} = b_0 + b_1x \).
(Round \( b_0 \) to two decimal places and \( b_1 \) to three decimal places.)
\( \hat{y} = \) [Input Box]
Comment on the adequacy of this equation for predicting \( y \). (Use \( \alpha = 0.05 \).)
- [ ] The high \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The high \( p \)-value and high coefficient of determination indicate that the equation is adequate.
- [ ] The low \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The low \( p \)-value and high coefficient of determination indicate that the equation is adequate.
#### (b) Develop an estimated regression equation for the data of the form \( \hat{y} = b_0 + b_1x + b_2x^2 \).
(Round \( b_0 \) to two decimal places, \( b_1 \) to three decimal places, and \( b_2 \) to four decimal places.)
\( \hat{y} = \) [Input Box]
Comment on the adequacy of this equation for predicting \( y \). (Use \( \alpha = 0.05 \).)
- [ ] The high \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The high \( p \)-value and high coefficient of determination indicate that the equation is adequate.
- [ ] The low \( p \)-value and low coefficient of determination indicate that the equation is inadequate.
- [ ] The low \( p \)-value and high coefficient of determination indicate that the equation is adequate.
#### (c) Use the model from part (b) to predict the value of \( y \) when \( x = 20 \).
(Round your answer to two decimal
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