Correlation and Regression Final Exam
Correlation and Regression Assignment
Problem 1. a. Explain which variable you chose as the explanatory variable and discuss why. * The explanatory variable is the height. This is because I am assuming that as height increases, the weight will increase as well. So the weight is the dependent variable
b. Produce a scatter plot and insert the result here. * Scatter plot
c. Find the equation of the regression line, Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. * Y=-84.2941 + 0.79941x
d. Add the regression line to the graph and insert the result here * Regression line
e. Calculate the correlation coefficient * R= 0.9551913
Problem 2. a. Explain which variable you chose as the explanatory variable and discuss why. - The explanatory variable is games won, because that was stated in the problem. I guess this is because if more games are won, then more balls are hit.
b. Produce an scatter plot and insert the result here.
-scatter plot
c. Find the equation of the regression line. Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. - y = 0.2485320 + 0.0003213x
d. Add the regression line to the graph and insert the result here. - regression line
e. Calculate the correlation coefficient * r= 0.5587557
Problem 5
a. Explain which variable you chose as the explanatory variable and discuss why. - The first grade is the explanatory variable because the expectation is that that score will predict what the final score.
b. Produce a scatter plot and insert the result here - scatter plot
c. Find the equation of the regression line. Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. * y = 94.287 – 0.314x
d. Add the regression line to the graph and insert the result here
- Regression line
e. Calculate the correlation coefficient. - r= -0.7074696
Problem 1. a. Explain which variable you chose as the explanatory variable and discuss why. * The explanatory variable is the height. This is because I am assuming that as height increases, the weight will increase as well. So the weight is the dependent variable
b. Produce a scatter plot and insert the result here. * Scatter plot
c. Find the equation of the regression line, Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. * Y=-84.2941 + 0.79941x
d. Add the regression line to the graph and insert the result here * Regression line
e. Calculate the correlation coefficient * R= 0.9551913
Problem 2. a. Explain which variable you chose as the explanatory variable and discuss why. - The explanatory variable is games won, because that was stated in the problem. I guess this is because if more games are won, then more balls are hit.
b. Produce an scatter plot and insert the result here.
-scatter plot
c. Find the equation of the regression line. Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. - y = 0.2485320 + 0.0003213x
d. Add the regression line to the graph and insert the result here. - regression line
e. Calculate the correlation coefficient * r= 0.5587557
Problem 5
a. Explain which variable you chose as the explanatory variable and discuss why. - The first grade is the explanatory variable because the expectation is that that score will predict what the final score.
b. Produce a scatter plot and insert the result here - scatter plot
c. Find the equation of the regression line. Write it in the form of y=a+bx, where a is the y-intercept and b is the slope. * y = 94.287 – 0.314x
d. Add the regression line to the graph and insert the result here
- Regression line
e. Calculate the correlation coefficient. - r= -0.7074696