In a simple linear regression, the following sample regression equation is obtained: yˆ=447−29x.y^=447−29x. a. Interpret the slope coefficient. As x increases by 1 unit, y is predicted to decrease by 29 units. As x increases by 1 unit, y is predicted to increase by 29 units. As x increases by 1 unit, y is predicted to decrease by 447 units. As x increases by 1 unit, y is predicted to increase by 447 units. b. Predict y if x equals −16.
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.
In a simple linear regression, the following sample regression equation is obtained:
yˆ=447−29x.y^=447−29x.
a. Interpret the slope coefficient.
-
As x increases by 1 unit, y is predicted to decrease by 29 units.
-
As x increases by 1 unit, y is predicted to increase by 29 units.
-
As x increases by 1 unit, y is predicted to decrease by 447 units.
-
As x increases by 1 unit, y is predicted to increase by 447 units.
b. Predict y if x equals −16.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
