ou will complete a question about Correlation Examples and complete a Simple Lin
ID: 3291492 • Letter: O
Question
ou will complete a question about Correlation Examples and complete a Simple Linear Regression. For the Simple Linear Regression, make sure to complete the following steps:
Number of Absences, x
0
1
1
2
3
3
5
6
6
8
8
10
Test Scores, y
100
100
90
95
90
92
88
86
82
84
82
80
Construct a scatter plot.
Find the equation of the regression line.
Predict the value of y for each of the x-values.
Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two variables that have no correlation.
Number of Absences and Test Scores: The number of absences and test scores of twelve students are shown in this table.
x = 4 absences
x = 7 absences
x = 9 absences
Number of Absences, x
0
1
1
2
3
3
5
6
6
8
8
10
Test Scores, y
100
100
90
95
90
92
88
86
82
84
82
80
Explanation / Answer
Scatter plot by Excel,
Regression equation is y = -1.909x + 97.51
type data into columns >> click on insert>> select scatter plot.
if x= 4 absences then y = -1.909 *4 + 97.51 = 89.87
if x= 7 absences then y = -1.909 *7 + 97.51 =84.15
if x= 9 absences then y = -1.909 *9 + 97.51 =80.33
example of two variables that have a positive linear correlation
i) temperature goes up, ice cream sales also go up.
example of two variables that have a negative linear correlation
As weather gets colder and colder , air conditioning costs decrease.
an example of two variables that have no correlation.
Personality fluctuation and the movement of distance stars.
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