In the following data, a is the average number of hours the student spent working on math each week and y is the final grade in a math class. hours/week Grade y 8. 63.2 11 66.4 11 70.4 13 87.2 14 81.6 14 86.6 15 79 16 91.4 18 91.2 20 98 The line of best fit is y = 3.02 · x + 39.28. What is the predicted value for the final grade when a student spends an average of 10 hours each week on math? Grade Round to 1 decimal place.
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.
![In the following data, a is the average number of hours the student spent working on math each week and
y is the final grade in a math class.
hours/week
Grade
y
8.
63.2
11
66.4
11
70.4
13
87.2
14
81.6
14
86.6
15
79
16
91.4
18
91.2
20
98
The line of best fit is y = 3.02 · x + 39.28.
What is the predicted value for the final grade when a student spends an average of 10 hours each week on
math?
Grade
Round to 1 decimal place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbaf8f87-9a19-4b4f-ab9f-8e0e0ef63545%2F6512cee6-ecab-45f3-8a7b-9fa654b99bc6%2Fxfr8ov_processed.jpeg&w=3840&q=75)
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