Here is data with y as the response variable. x y 43.7 85.5 32.3 95.9 61.5 68.4 37.5 85.7 39.2 80.9 50.8 82.5 47.7 81.4 -69.9 90.7 57.6 77.1 57.2 71.8 Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair. For example (a,b) - with parenthesis. Find the regression equation for the data set without the outlier. Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat. Find the regression equation for the data set with the outlier.
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.
Here is data with y as the response variable.
| x | y |
|---|---|
| 43.7 | 85.5 |
| 32.3 | 95.9 |
| 61.5 | 68.4 |
| 37.5 | 85.7 |
| 39.2 | 80.9 |
| 50.8 | 82.5 |
| 47.7 | 81.4 |
| -69.9 | 90.7 |
| 57.6 | 77.1 |
| 57.2 | 71.8 |
Make a
Enter as an ordered pair. For example (a,b) - with parenthesis.
Find the regression equation for the data set without the outlier.
Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.
Find the regression equation for the data set with the outlier.
Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.
Is this outlier an influential point?
- Yes, the outlier appears to be an influential point.
- No, the outlier does not appear to be an influential point.
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