weight is the explanatory variable and has a mean of 149.4 and a standard deviation of 29.51. calories burned per minute is the response variable and has a mean of 95.5 and a standard deviation of 1.64. the correlation was found to be 0.944. select the correct slope and y-intercept for the least-squares line. Answer choices are rounded to the hundredths place. a) slope = 0.05 y-intercept =2.18 b) slope = 16.99 y-intercept = 8.23 c) slope = -0.05 y-intercept= 17.12 d) slope = 16.99 y-intercept = 14.55

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weight is the explanatory variable and has a mean of 149.4 and a standard deviation of 29.51. calories burned per minute is the response variable and has a mean of 95.5 and a standard deviation of 1.64. the correlation was found to be 0.944. select the correct slope and y-intercept for the least-squares line. Answer choices are rounded to the hundredths place. a) slope = 0.05 y-intercept =2.18 b) slope = 16.99 y-intercept = 8.23 c) slope = -0.05 y-intercept= 17.12 d) slope = 16.99 y-intercept = 14.55
**Unit 4 – Challenge 4.3 Educational Overview**

The following data presents the relationship between an individual's weight in pounds and the calories they burn per minute during physical activity. This analysis can be utilized in fitness education to understand how weight impacts caloric expenditure.

| Weight (in pounds) | Calories burned per minute |
|--------------------|----------------------------|
| 112                | 7.25                       |
| 129                | 9.15                       |
| 150                | 9.85                       |
| 174                | 10.25                      |
| 182                | 11.75                      |

**Statistical Analysis:**

- **Mean**:
  - Weight: 149.4 pounds
  - Calories burned per minute: 9.65 calories
  
- **Standard Deviation**:
  - Weight: 29.51 pounds
  - Calories burned per minute: 1.64 calories

**Graphical Representation:**

The data may be represented graphically with a scatter plot or line graph to display how the calories burned per minute increase relative to weight. The x-axis (horizontal) would represent the 'Weight (in pounds)' and the y-axis (vertical) would represent 'Calories burned per minute'. Each data point corresponds to a pair of values from the table, suggesting a positive correlation between weight and calories burned per minute.

Understanding the means and standard deviations allows for comprehension of the average values and the variability or dispersion around these averages. This statistical insight aids in recognizing the general trend and spread within the dataset.

Educational use of this data fosters a deeper understanding among students about metabolic rates and the effect of weight on exercise outcomes, reinforcing concepts in both biology and physical education.
Transcribed Image Text:**Unit 4 – Challenge 4.3 Educational Overview** The following data presents the relationship between an individual's weight in pounds and the calories they burn per minute during physical activity. This analysis can be utilized in fitness education to understand how weight impacts caloric expenditure. | Weight (in pounds) | Calories burned per minute | |--------------------|----------------------------| | 112 | 7.25 | | 129 | 9.15 | | 150 | 9.85 | | 174 | 10.25 | | 182 | 11.75 | **Statistical Analysis:** - **Mean**: - Weight: 149.4 pounds - Calories burned per minute: 9.65 calories - **Standard Deviation**: - Weight: 29.51 pounds - Calories burned per minute: 1.64 calories **Graphical Representation:** The data may be represented graphically with a scatter plot or line graph to display how the calories burned per minute increase relative to weight. The x-axis (horizontal) would represent the 'Weight (in pounds)' and the y-axis (vertical) would represent 'Calories burned per minute'. Each data point corresponds to a pair of values from the table, suggesting a positive correlation between weight and calories burned per minute. Understanding the means and standard deviations allows for comprehension of the average values and the variability or dispersion around these averages. This statistical insight aids in recognizing the general trend and spread within the dataset. Educational use of this data fosters a deeper understanding among students about metabolic rates and the effect of weight on exercise outcomes, reinforcing concepts in both biology and physical education.
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