Question
In: Statistics and Probability
Use the following convention table for R-square. From 0.0 to 0.2 Poor From 0.2 to 0.4...
Use the following convention table for R-square.
| From 0.0 to 0.2 | Poor |
| From 0.2 to 0.4 | Decent |
| From 0.4 to 0.6 | Good |
| From 0.6 to 0.85 | Very Good |
| From 0.85 to 1.0 | Excellent |
Upload the ManBody data. Create a scattered plot chart with X representing the Knee size and Y representing the Ankle size (both in centimeters); plot the line and compute the R-square. Answer the questions:
I) If a person has knee size equal to 40 cm, according to the chart and the analysis, what is his predicted ankle size? (Round to two decimal places) (11.11 points)
- a. About 0.42 centimeters
- b. About 6.51 centimeters
- c. About 0.37 centimeters
- d. About 23.70 centimeters
- e. None of the above
II) If a person A has knee size equal to 30 cm and a person B has knee size equal to 32 cm, according to the chart and the analysis, which of the following can be concluded? (Round to two decimal place) (11.11 points)
- a. Person B will have on average 0.42 centimeters larger Ankle
- b. Person A will have on average 0.42 centimeters larger Ankle
- c. Person B will have on average 4.21 centimeters larger Ankle
- d. Person B will have on average 6.5 centimeters larger Ankle
- e. None of these
III) How strong is the relationship between the Knee size and Ankle size? (11.11 points)
- a. Poor
- b. Decent
- c. Good
- d. Very Good
- e. Excellent
link to data set: https://www.limes.one/Content/DataFiles/Man_body.txt
Solutions
Expert Solution
With X representing the Knee size and Y representing the Ankle size (both in centimeters) we obtain the following scatter plot and regression summary.
| SUMMARY OUTPUT | |
| Regression Statistics | |
| Multiple R | 0.6116 |
| R Square | 0.3741 |
| Adjusted R Square | 0.3716 |
| Standard Error | 1.3436 |
| Observations | 252 |
| Coefficients | Standard Error | t Stat | P-value | |
| Intercept | 6.515920818 | 1.35962243 | 4.792448753 | 0.000002828618108 |
| KNEE | 0.4298070864 | 0.03516373729 | 12.22302063 | 0 |
So we obtain the regression equation as;
Y = 6.5159 + 0.4298 (KNEE)
I) Substituting the knee values in regression equation, we get. d. About 23.70 centimeters
II) Substituting the knee values in regression equation, A and B will have the respective values as;
| 19.41013341 | A |
| 20.26974758 | B |
| 0.8596141728 | Difference |
Hence, e. None of these
III) b. Decent
orchestra answered 2 years agoRelated Solutions
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