A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data: County Median Income Median Age Coastal A $ 48,157 57.7 1 B 48,568 60.7 1 C 46,816 47.9 1 D 34,876 38.4 0 E 35,478 42.8 0 F 34,465 35.4 0 G 35,026 39.5 0 H 38,599 65.6 0 I 33,315 27.0 0 Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.) --------------(Yes/No).The correlation of income and median age is---------- 2. Use regression analysis to determine the relationship between median income and median age. (Round your answers to 2 decimal places.) Income=------------ + -----------------(median Age) 3.Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) Income= _____________+____________(Median Age)+______________(Coastal)
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.
A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data:
| County | Median Age | Coastal | |||
| A | $ | 48,157 | 57.7 | 1 | |
| B | 48,568 | 60.7 | 1 | ||
| C | 46,816 | 47.9 | 1 | ||
| D | 34,876 | 38.4 | 0 | ||
| E | 35,478 | 42.8 | 0 | ||
| F | 34,465 | 35.4 | 0 | ||
| G | 35,026 | 39.5 | 0 | ||
| H | 38,599 | 65.6 | 0 | ||
| I | 33,315 | 27.0 | 0 | ||
- Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.)
--------------(Yes/No).The
2. Use
Income=------------ + -----------------(median Age)
3.Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
Income= _____________+____________(Median Age)+______________(Coastal)
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