Height and Weight Using the data in the StudentSurvey dataset containing the students' weight and height, we use technology to find that a regression line to predict weight (in pounds) from height (in inches) is Weight^=-170+4.82(Height). (a) What weight does the line predict for a person who is 5 feet tall (60 inches)? Round your answer to one decimal place. Weight^= pounds What weight is predicted for someone 6 feet tall (72 inches)? Round your answer to two decimal places. Weight^= pounds (b) What is the slope of the line? Round your answer to two decimal places. Slope= Interpret it in context. The slope gives the expected height of a person whose weight is 1 poundthe expected change in height of a person who is one pound heavierthe expected weight of a person whose height is 1 inchthe expected change in weight of a person who is one inch taller . the absolute tolerance is +/-0.01
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.
Height and Weight
Using the data in the StudentSurvey dataset containing the students' weight and height, we use technology to find that a regression line to predict weight (in pounds) from height (in inches) is
Round your answer to one decimal place.
Weight^= pounds
What weight is predicted for someone 6 feet tall (72 inches)?
Round your answer to two decimal places.
Weight^= pounds
(b) What is the slope of the line?
Round your answer to two decimal places.
Slope=
Interpret it in context.
The slope gives
the absolute tolerance is +/-0.01
(c) Does the intercept make sense in this context?
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Yes |
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No |
(d) What weight does the regression line predict for a baby who is 20 inches long?
Round your answer to one decimal place.
Weight^= pounds
Why is it not appropriate to use the regression line in this case?
It is because
the absolute tolerance is +/-0.1
The term regression means a return to origin. A line describing the tendency to regresses is the regression line. Regression is the property of the tendency of actual value to lie close to the estimated value.
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