Every morning, Tania leaves for work a few minutes after 7:00 A.M.. For eight days, she keeps track of the time she leaves (the number of minutes after 7:00) and the number of minutes it takes her to get to work. Following are the results: Time Leaving: 13 14 16 30 20 12 9 17 16 10 16 Lenght of Commute: 27 20 23 45 20 45 20 28 27 23 30 a. Construct a scatterplot of the lenght of commute (y) versus the time leaving(x). b. Compute the least-squares regression line for predicting the length of commute from the time leaving. c. Compute the coefficient of determintion.
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.
Every morning, Tania leaves for work a few minutes after 7:00 A.M.. For eight days, she keeps track of the time she leaves (the number of minutes after 7:00) and the number of minutes it takes her to get to work. Following are the results:
Time Leaving: 13 14 16 30 20 12 9 17 16 10 16
Lenght of Commute: 27 20 23 45 20 45 20 28 27 23 30
a. Construct a scatterplot of the lenght of commute (y) versus the time leaving(x).
b. Compute the least-squares regression line for predicting the length of commute from the time leaving.
c. Compute the coefficient of determintion.
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