Find the linear equation of best fit for this data. Compare the model to the data. Does the model seem to fit the data? Explain. What is the significance of the y-intercept? What is the slope and what does it mean? What is the x-intercept and what does it mean? What is the correlation coefficient and what does it mean? Speed (mph) Calories/lap 1 42 2 31 3 27 4 41 5 40 6 40 7 39 8 38
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Below is the actual data on the speed a person walks or runs in miles/hour and the calories the person burns per lap.
- Find the linear equation of best fit for this data. Compare the model to the data. Does the model seem to fit the data? Explain.
- What is the significance of the y-intercept?
- What is the slope and what does it mean?
- What is the x-intercept and what does it mean?
- What is the
correlation coefficient and what does it mean?
| Speed (mph) | Calories/lap |
| 1 | 42 |
| 2 | 31 |
| 3 | 27 |
| 4 | 41 |
| 5 | 40 |
| 6 | 40 |
| 7 | 39 |
| 8 | 38 |
r answers to the nearest hundredth. The y-intercept means that if a person runs at ----------mph they will burn__________ per lap. The slope means that for each mph you increase your speed, you will burn an additional------------calories pay lap
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