Teachers y 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R2) Principals x 77.8 43.7 78.4 43.8 80.8 45.0 80.5 45.6 R=0.997497 81.5 45.9 2. Does the R value represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 84.8 48.2 87.7 49.3 91.6 51.3 93.6 52.9 3. Write the equation of the regression line for the data below. The equation is y= 95.7 54,4 95.7 54.2 4. Use the regression equation that you found in exercise #3 to predict the average annual salary of public school classroom teachers when the average annual salary of public school principals is $139,723. Show your work in the cells to the right. (Be careful when entering the x-value in the equation. The table shows numbers that have been adjusted in terms of the thousands. Example: if the salary is $82,500, then use x = 82.5 ) The predicted salary for teachers is $ when the principal makes $139,723.
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.
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