The following table shows students' test scores on the first two tests in an introductory physics class. Physics Test Scores First 86 56 41 50 62 87 55 74 60 56 40 88 test, x Second 60 47 61 80 69 44 80 34 49 59 55 81 test, y Copy Data Step 2 of 2: If a student scored a 75 on his first test, make a prediction for his score on the second test. Assume the regression equation is appropriate for prediction. Round your answer to two decimal places, if necessary.
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.
 alt="The following table shows students' test scores on the first two tests in an introductory physics class.
Physics Test Scores
41 so 62 87 55
First
40
86
56
74
60
56
88
test, x
Second
80 60 34 47 61 so 49 69 59 55 81
44
test, y
Copy Data
Step 2 of 2: If a student scored a 75 on his first test, make a prediction for his score on the second test. Assume the regression equation is appropriate for prediction.
Round your answer to two decimal places, if necessary.
Answer
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