Determine slope and y-intercept of the least squares regression line for using X to predict Y.
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.
An investigation of the relationship between traffic flow (measured in cars per day) and lead content (measured in micrograms per gram of dry weight) in the bark of trees near the highway yielded the following summary statistics:
| Sample Mean | Sample Standard Deviation | |
| Lead Content (micrograms per gram dry weight) | y¯=y¯= 680 | sysy = 240 |
| Traffic Flow (cars / day) | x¯=x¯= 1750 | sxsx = 800 |
The
Since Traffic flow is the X-variable, its mean and standard deviation have been labelled x¯ and sxx¯ and sx.
Since Lead content is the Y-variable, its mean and standard deviation have been labelled y¯ and syy¯ and sy .
Determine slope and y-intercept of the least squares regression line for using X to predict Y.
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