The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below. Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis. Compute the sample mean and standard deviation for each variable. Compute the sample correlation coefficient. Is there a positive or negative correlation between these two variables? Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 28 25 25 23 30 32 21 35 26 25
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.
- The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below.
- Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis.
- Compute the sample mean and standard deviation for each variable.
- Compute the sample
correlation coefficient . Is there a positive ornegative correlation between these two variables?
|
Speed (Miles per Hour) |
30 |
50 |
40 |
55 |
30 |
25 |
60 |
25 |
50 |
55 |
|
Miles per Gallon |
28 |
25 |
25 |
23 |
30 |
32 |
21 |
35 |
26 |
25 |
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