The slope b1 =___________ indicates that for each increase of one hour in studying time, the predicted change in the final exam score is__________. In other words, the final exam score is predicted to increase by a mean of 3 points for each onehour increase in studying time.
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.
Answer for the following question blank spaces.
The slope b1 =___________ indicates that for each increase of one hour in studying time, the predicted change in the final exam score is__________. In other words, the final exam score is predicted to increase by a mean of 3 points for each onehour increase in studying time.
![A statistics professor wants to use the number of hours a student studies for a statistics final exam to predict the final exam score A
regression model was fit based on data collected from a class during the previous semester, with the following results:
Y = 35.0 + 3X
(A) What is the interpretation of the Y intercept, bo and the slope, b,?
Answer:
The Y intercept bọ =
indicates that when the student does not study for the final exam, the predicted final exam score is
The slope b, =
indicates that for each increase of one hour in studying time, the predicted change in the final exam
score is
In other words, the final exam score is predicted to increase by a mean of 3 points for each onehour increase
in studying time.
(B) Use the prediction line to predict the final exam score of a student that use 15 hours to study for the final exam.
Answer: The predicted score is
points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe1a90ae-eeb0-4a35-9354-18933c467d3a%2F92811bcb-6961-41b8-8d2d-7905e7fbf888%2Fsm4bwv4_processed.png&w=3840&q=75)
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