A statistics professor wants to use the number of hours a student studies for a statistics final exam to predict the final exam score A regression model was fit based on data collected from a class during the previous semester, with the following results: Y = 35.0 + 3X (A) What is the interpretation of the Y intercept, bo and the slope, b,? Answer: The Y intercept bɔ = indicates that when the student does not study for the final exam, the predicted final exam score is The slope b, = indicates that for each increase of one hour in studying time, the predicted change in the final exam score is In other words, the final exam score is predicted to increase by a mean of 3 points for each onehour increase in studying time. (B) Use the prediction line to predict the final exam score of a student that use 15 hours to study for the final exam. Answer: The predicted score is points
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.
Answer for the following question
The Y intercept b0 =___________ indicates that when the student does not study for the final exam, the predicted final exam score is__________.
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