Activity 2: Determining the Least Squares Regression Line Using the TI-84 Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats who were sent to space on Spacelab Life Sciences 2. The data below were collected. Right Humerus (mm), .r Right Tibia (mm), y 36.05 35.57 35.57 34.58 34.20 34.73 Right Humerus (mm), .x 24.80 24.59 24.59 24.29 23.81 24.87 Source: NASA Life Sciences Data Archive i=nterpreting the Slope CONSO b) Interpret the slope. 25.90 26.11 26.63 26.31 26.84 Right Tibia (mm), y 37.38 37.96 37.46 37.75 38.50 Determining the least squares regression line a. Using your TI-84 calculator, find the least-squares regression line treating the length of the right humerus, x, as the explanatory variable and the length of the right tibia, y, as the response variable Interpreting the y-Intercept c) Is it appropriate to interpret the y-intercept. If so, please provide the interpretation. If not, please explain why it is not appropriate.

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Using a TI 84 calculator find the least square regression line, treating the length of the right humerus x as the explanatory, variable, and the length of the right tibia as the response variable
Activity 2: Determining the Least Squares Regression Line Using the TI-84

Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats who were sent to space on Spacelab Life Sciences 2. The data below were collected.

| Right Humerus (mm), x | Right Tibia (mm), y |
|------------------------|----------------------|
| 24.80                  | 36.05                |
| 24.59                  | 35.57                |
| 24.94                  | 36.15                |
| 24.39                  | 35.61                |
| 23.51                  | 34.20                |
| 25.90                  | 37.38                |
| 26.11                  | 37.96                |
| 26.31                  | 37.46                |
| 25.03                  | 37.65                |
| 25.85                  | 38.75                |
| 26.84                  | 38.50                |
| 24.87                  | 34.73                |

Source: NASA Life Sciences Data Archive

**Determining the least squares regression line**

a. Using your TI-84 calculator, find the least-squares regression line treating the length of the right humerus, x, as the explanatory variable and the length of the right tibia, y, as the response variable.

\[ y = \]

**Interpreting the Slope**

b) Interpret the slope.

**Interpreting the y-Intercept**

c) Is it appropriate to interpret the y-intercept? If so, please provide the interpretation. If not, please explain why it is not appropriate.

\[ \]

**Using the Least Squares Regression Line to Estimate**
Transcribed Image Text:Activity 2: Determining the Least Squares Regression Line Using the TI-84 Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats who were sent to space on Spacelab Life Sciences 2. The data below were collected. | Right Humerus (mm), x | Right Tibia (mm), y | |------------------------|----------------------| | 24.80 | 36.05 | | 24.59 | 35.57 | | 24.94 | 36.15 | | 24.39 | 35.61 | | 23.51 | 34.20 | | 25.90 | 37.38 | | 26.11 | 37.96 | | 26.31 | 37.46 | | 25.03 | 37.65 | | 25.85 | 38.75 | | 26.84 | 38.50 | | 24.87 | 34.73 | Source: NASA Life Sciences Data Archive **Determining the least squares regression line** a. Using your TI-84 calculator, find the least-squares regression line treating the length of the right humerus, x, as the explanatory variable and the length of the right tibia, y, as the response variable. \[ y = \] **Interpreting the Slope** b) Interpret the slope. **Interpreting the y-Intercept** c) Is it appropriate to interpret the y-intercept? If so, please provide the interpretation. If not, please explain why it is not appropriate. \[ \] **Using the Least Squares Regression Line to Estimate**
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