A mathematics placement test is given to all incoming freshmen at the College of Accountancy. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the final grades for 20 students who took the regular course were: Test Score Course Grade Test Score Course Grade 50 53 35 41 35 61 40 56 55 68 65 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 71 40 47 55 53 50 68 65 57 50 79 60 71 a. Plot a scatter diagram. b. Find the equation of the regression line to predict course grades from placement test scores. c. Graph the line on the scatterd. d. If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course?
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 predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A mathematics placement test is given to all incoming freshmen at the College of Accountancy. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the final grades for 20 students who took the regular course were:
|
Test Score |
Course Grade |
Test Score |
Course Grade |
|
50 |
53 |
35 |
41 |
|
35 |
61 |
40 |
56 |
|
55 |
68 |
65 |
36 |
|
35 |
11 |
60 |
70 |
|
90 |
79 |
35 |
59 |
|
90 |
54 |
80 |
91 |
|
60 |
48 |
60 |
71 |
|
40 |
47 |
55 |
53 |
|
50 |
68 |
65 |
57 |
|
50 |
79 |
60 |
71 |
a. Plot a
b. Find the equation of the regression line to predict course grades from placement test scores.
c. Graph the line on the scatterd.
d. If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course?
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