Healthy living has always been an important goal for any society. Consider a regression model that conjectures that fruits and vegetables and regular exercising have a positive effect on health and smoking has a negative effect on health. The accompanying data file shows the percentage of these variables observed in various states in the United States. State Healthy FV Exercise Smoke AK 88.7 23.3 60.6 14.6 AL 78.3 20.3 41.0 16.4 AR 80.2 20.4 47.3 15.5 AZ 85.4 24.1 50.5 11.0 CA 80.3 27.7 51.3 8.1 CO 88.0 24.7 57.0 12.0 CT 89.7 28.3 53.9 10.7 DC 89.1 31.4 54.4 9.0 DE 87.1 25.0 50.9 13.2 FL 84.2 24.5 47.8 13.9 GA 84.5 24.5 45.7 12.6 HI 86.2 23.5 53.2 10.3 IA 88.6 18.4 49.6 13.4 ID 84.8 24.6 57.5 12.2 IL 84.7 22.4 51.8 12.0 IN 83.6 20.6 48.0 17.1 KS 87.7 18.6 48.4 13.2 KY 77.2 21.0 45.6 20.5 LA 79.1 16.9 43.5 16.4 MA 88.0 26.2 52.9 10.9 MD 87.1 27.6 48.6 10.3 ME 86.5 27.9 56.2 12.5 MI 85.2 22.5 51.9 13.6 MN 89.8 21.8 52.7 11.2 MO 83.8 19.8 49.9 18.2 MS 78.5 16.8 37.4 17.0 MT 85.5 25.7 58.6 12.2 NC 81.9 20.6 46.4 14.4 ND 88.4 22.5 52.2 13.3 NE 86.8 20.9 51.0 12.9 NH 87.9 27.9 53.3 11.3 NJ 85.4 26.3 47.5 10.0 NM 82.9 23.1 53.2 11.2 NV 84.0 23.7 51.4 15.7 NY 85.1 26.7 50.7 12.0 OH 84.0 21.0 48.5 15.6 OK 80.4 14.5 47.1 18.8 OR 86.8 26.3 56.5 13.1 PA 85.1 24.1 50.4 15.1 RI 87.2 26.1 48.3 10.2 SC 83.7 17.4 45.4 14.6 SD 87.8 15.7 45.0 12.4 TN 78.7 23.3 35.9 17.6 TX 84.0 23.8 48.1 11.7 UT 89.2 23.3 57.6 6.9 VA 85.7 27.3 51.3 13.8 VT 89.0 29.3 58.0 12.5 WA 86.4 25.0 53.6 10.7 WI 88.1 22.7 52.8 12.6 WV 76.2 16.1 35.1 20.6 WY 87.5 23.3 57.2 15.2 1. Estimate the model Healthy = β0 + β1FV + β2Exercise + β3Smoke + ε. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 2. Calculate the correlation between the explanatory variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 3. Is multicollinearity present in the data? A.Yes, since the absolute values of the correlation coefficients are all below 0.80. B. Yes, since the absolute values of the correlation coefficients are not all below 0.80. C.No, since the absolute values of the correlation coefficients are all below 0.80. D. No, since the absolute values of the correlation coefficients are not all below 0.80.
Healthy living has always been an important goal for any society. Consider a regression model that conjectures that fruits and vegetables and regular exercising have a positive effect on health and smoking has a negative effect on health. The accompanying data file shows the percentage of these variables observed in various states in the United States. State Healthy FV Exercise Smoke AK 88.7 23.3 60.6 14.6 AL 78.3 20.3 41.0 16.4 AR 80.2 20.4 47.3 15.5 AZ 85.4 24.1 50.5 11.0 CA 80.3 27.7 51.3 8.1 CO 88.0 24.7 57.0 12.0 CT 89.7 28.3 53.9 10.7 DC 89.1 31.4 54.4 9.0 DE 87.1 25.0 50.9 13.2 FL 84.2 24.5 47.8 13.9 GA 84.5 24.5 45.7 12.6 HI 86.2 23.5 53.2 10.3 IA 88.6 18.4 49.6 13.4 ID 84.8 24.6 57.5 12.2 IL 84.7 22.4 51.8 12.0 IN 83.6 20.6 48.0 17.1 KS 87.7 18.6 48.4 13.2 KY 77.2 21.0 45.6 20.5 LA 79.1 16.9 43.5 16.4 MA 88.0 26.2 52.9 10.9 MD 87.1 27.6 48.6 10.3 ME 86.5 27.9 56.2 12.5 MI 85.2 22.5 51.9 13.6 MN 89.8 21.8 52.7 11.2 MO 83.8 19.8 49.9 18.2 MS 78.5 16.8 37.4 17.0 MT 85.5 25.7 58.6 12.2 NC 81.9 20.6 46.4 14.4 ND 88.4 22.5 52.2 13.3 NE 86.8 20.9 51.0 12.9 NH 87.9 27.9 53.3 11.3 NJ 85.4 26.3 47.5 10.0 NM 82.9 23.1 53.2 11.2 NV 84.0 23.7 51.4 15.7 NY 85.1 26.7 50.7 12.0 OH 84.0 21.0 48.5 15.6 OK 80.4 14.5 47.1 18.8 OR 86.8 26.3 56.5 13.1 PA 85.1 24.1 50.4 15.1 RI 87.2 26.1 48.3 10.2 SC 83.7 17.4 45.4 14.6 SD 87.8 15.7 45.0 12.4 TN 78.7 23.3 35.9 17.6 TX 84.0 23.8 48.1 11.7 UT 89.2 23.3 57.6 6.9 VA 85.7 27.3 51.3 13.8 VT 89.0 29.3 58.0 12.5 WA 86.4 25.0 53.6 10.7 WI 88.1 22.7 52.8 12.6 WV 76.2 16.1 35.1 20.6 WY 87.5 23.3 57.2 15.2 1. Estimate the model Healthy = β0 + β1FV + β2Exercise + β3Smoke + ε. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 2. Calculate the correlation between the explanatory variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 3. Is multicollinearity present in the data? A.Yes, since the absolute values of the correlation coefficients are all below 0.80. B. Yes, since the absolute values of the correlation coefficients are not all below 0.80. C.No, since the absolute values of the correlation coefficients are all below 0.80. D. No, since the absolute values of the correlation coefficients are not all below 0.80.
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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Healthy living has always been an important goal for any society. Consider a regression model that conjectures that fruits and vegetables and regular exercising have a positive effect on health and smoking has a negative effect on health. The accompanying data file shows the percentage of these variables observed in various states in the United States.
| State | Healthy | FV | Exercise | Smoke |
| AK | 88.7 | 23.3 | 60.6 | 14.6 |
| AL | 78.3 | 20.3 | 41.0 | 16.4 |
| AR | 80.2 | 20.4 | 47.3 | 15.5 |
| AZ | 85.4 | 24.1 | 50.5 | 11.0 |
| CA | 80.3 | 27.7 | 51.3 | 8.1 |
| CO | 88.0 | 24.7 | 57.0 | 12.0 |
| CT | 89.7 | 28.3 | 53.9 | 10.7 |
| DC | 89.1 | 31.4 | 54.4 | 9.0 |
| DE | 87.1 | 25.0 | 50.9 | 13.2 |
| FL | 84.2 | 24.5 | 47.8 | 13.9 |
| GA | 84.5 | 24.5 | 45.7 | 12.6 |
| HI | 86.2 | 23.5 | 53.2 | 10.3 |
| IA | 88.6 | 18.4 | 49.6 | 13.4 |
| ID | 84.8 | 24.6 | 57.5 | 12.2 |
| IL | 84.7 | 22.4 | 51.8 | 12.0 |
| IN | 83.6 | 20.6 | 48.0 | 17.1 |
| KS | 87.7 | 18.6 | 48.4 | 13.2 |
| KY | 77.2 | 21.0 | 45.6 | 20.5 |
| LA | 79.1 | 16.9 | 43.5 | 16.4 |
| MA | 88.0 | 26.2 | 52.9 | 10.9 |
| MD | 87.1 | 27.6 | 48.6 | 10.3 |
| ME | 86.5 | 27.9 | 56.2 | 12.5 |
| MI | 85.2 | 22.5 | 51.9 | 13.6 |
| MN | 89.8 | 21.8 | 52.7 | 11.2 |
| MO | 83.8 | 19.8 | 49.9 | 18.2 |
| MS | 78.5 | 16.8 | 37.4 | 17.0 |
| MT | 85.5 | 25.7 | 58.6 | 12.2 |
| NC | 81.9 | 20.6 | 46.4 | 14.4 |
| ND | 88.4 | 22.5 | 52.2 | 13.3 |
| NE | 86.8 | 20.9 | 51.0 | 12.9 |
| NH | 87.9 | 27.9 | 53.3 | 11.3 |
| NJ | 85.4 | 26.3 | 47.5 | 10.0 |
| NM | 82.9 | 23.1 | 53.2 | 11.2 |
| NV | 84.0 | 23.7 | 51.4 | 15.7 |
| NY | 85.1 | 26.7 | 50.7 | 12.0 |
| OH | 84.0 | 21.0 | 48.5 | 15.6 |
| OK | 80.4 | 14.5 | 47.1 | 18.8 |
| OR | 86.8 | 26.3 | 56.5 | 13.1 |
| PA | 85.1 | 24.1 | 50.4 | 15.1 |
| RI | 87.2 | 26.1 | 48.3 | 10.2 |
| SC | 83.7 | 17.4 | 45.4 | 14.6 |
| SD | 87.8 | 15.7 | 45.0 | 12.4 |
| TN | 78.7 | 23.3 | 35.9 | 17.6 |
| TX | 84.0 | 23.8 | 48.1 | 11.7 |
| UT | 89.2 | 23.3 | 57.6 | 6.9 |
| VA | 85.7 | 27.3 | 51.3 | 13.8 |
| VT | 89.0 | 29.3 | 58.0 | 12.5 |
| WA | 86.4 | 25.0 | 53.6 | 10.7 |
| WI | 88.1 | 22.7 | 52.8 | 12.6 |
| WV | 76.2 | 16.1 | 35.1 | 20.6 |
| WY | 87.5 | 23.3 | 57.2 | 15.2 |
1. Estimate the model Healthy = β0 + β1FV + β2Exercise + β3Smoke + ε.
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
2. Calculate the
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
3. Is multicollinearity present in the data?
A.Yes, since the absolute values of the
B. Yes, since the absolute values of the correlation coefficients are not all below 0.80.
C.No, since the absolute values of the correlation coefficients are all below 0.80.
D. No, since the absolute values of the correlation coefficients are not all below 0.80.
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