A random sample of 90 weightlifters was collected from the A class of the 2019 European Championships held in Batumi, Georgia. We are interested in determining if the body weight of the athlete (in kilograms) is a reasonable linear predictor for the total amount the athlete can lift (also in kilograms). Consider the following summary statistics: ē = 90.44467, Szz = 48955.71, Szy = 80480.74. j = 335.2222, Syy = 186513.6, and s. = 24.82. a. Use the summary statistics to calculate the regression line for this data. Explain each coefficient. b. What is the total amount of weight would you expect a weightlifter with a body weight of 84kg to lift? c. At the 5% significance level, is there evidence that the body weight of the athlete is a useful predictor for the total amount an athlete can lift? Assume the assumptions can be verified.
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.
- Use the summary statistics to calculate the regression line for this data. Explain each coefficient.
- What is the total amount of weight would you expect a weightlifter with a body weight of 84kg to lift?
- At the 5% significance level, is there evidence that the body weight of the athlete is a useful predictor for the total amount an athlete can lift? Assume the assumptions can be verified.
 alt="A random sample of 90 weightlifters was collected from the A class of the 2019 European Championships held in Batumi, Georgia. We are
interested in determining if the body weight of the athlete (in kilograms) is a reasonable linear predictor for the total amount the athlete can lift
(also in kilograms). Consider the following summary statistics: = 90.44467, Sz = 48955.71, SEy = 80480.74, j = 335.2222,
Sn = 186513.6, and s, = 24.82.
а.
Use the summary statistics to calculate the regression line for this data. Explain each
coefficient.
b. What is the total amount of weight would you expect a weightlifter with a body weight of 84kg
to lift?
At the 5% significance level, is there evidence that the body weight of the athlete is a useful
predictor for the total amount an athlete can lift? Assume the assumptions can be verified.
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