he table below lists the maximum weights for which one repetition of a half-squat can be performed and times to run a 10-meter sprint for 12 international soccer players. Use technology (StatCrunch or a calculator) to help you answer the following, and round to the nearest hundredth where rounding is necessary. a. Are the variables negatively or positively correlated? b. Find and interpret the correlation coefficient r for the data. c. Find the linear regression line that best fits this data. Write it in y = a + bx form. d. Make predictions about 10-meter sprint times for soccer players who can squat 165 lbs and 250 lbs respectively. Which of these predictions is more reliable and why?
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.
The table below lists the maximum weights for which one repetition of a half-squat can be performed and times to run a 10-meter sprint for 12 international soccer players.
Use technology (StatCrunch or a calculator) to help you answer the following, and round to the nearest hundredth where rounding is necessary.
a. Are the variables negatively or
b. Find and interpret the
c. Find the linear regression line that best fits this data. Write it in y = a + bx form.
d. Make predictions about 10-meter sprint times for soccer players who can squat 165 lbs and 250 lbs respectively. Which of these predictions is more reliable and why?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
