a) Identify a lurking variable for this situation. b) Find the equation of the least-squares line. Identify and interpret the slope and the y - intercept. c) Find the correlation coefficient and interpret and Determine if there is a significant correlation between the gold medal time and the year of the Summer Olympics. Explain your reasoning.
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 statistician is curious if the gold medal time for the women's 100 - meter freestyle depends upon the year that the Summer Olympics took place. A sample of every other Summer Olympics for the women's 100-meter freestyle produced the following data:
Year
1912
1924
1932
1952
1960
1968
1976
1984
1992
2000
2008
Time (in seconds)
82.2
72.4
66.8
66.8
61.2
60.0
55.65
55.92
54.64
53.8
53.1
a) Identify a lurking variable for this situation.
b) Find the equation of the least-squares line. Identify and interpret the slope and the y - intercept.
c) Find the
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
