MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
Question

What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below.

 

Time 6 0 14 0 3 2 14 5
Score 64 66 91 65 59 60 86 71
  1. Use the model to predict the final exam score for a student who spends 9 hours per week studying.
    Final exam score =  (Please round your answer to the nearest whole number.)  









  2. Interpret the slope of the regression line in the context of the question:  
    • As x goes up, y goes up.
    • The slope has no practical meaning since you cannot predict what any individual student will score on the final.
    • For every additional hour per week students spend studying, they tend to score on averge 1.89 higher on the final exam.










  3. Interpret the y-intercept in the context of the question:
    • If a student does not study at all, then that student will score 60 on the final exam.
    • The y-intercept has no practical meaning for this study.
    • The average final exam score is predicted to be 60.
    • The best prediction for a student who doesn't study at all is that the student will score 60 on the final exam.
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