Description
- Write TRUE or FALSE with reasons for the following:
- Number on the jerseys of Basketball players is a numerical variable.
- If y follows normal with mean 4 and variance 1, y^2 follows a chi-square distribution with 1 df.
- If y1 is a normal with mean 0 and variance 1, and y2 follows chi-square with n-1 degrees of freedom then y1/sqrt(y2/n-1) follows a F distribution with (n-1) degrees of freedom
- If y3 follows a F distribution then square root of y3 follows t.
- Consider the data set on lead concentration and mortality of midge flies given in our class website names Hw1-2020.xls. or Hw1-2020.csv (same data set in two formats). Answer the questions based on this data set:
- Why is mortality considered the response variable? Why is lead concentration the explanatory variable?
- Plot the relationship. What do you see from the plot?
- Determine least squares’ equation that can be used for predicting mortality.
- Is the slope significantly greater than 0. Use alpha = .05.
- Why is the regression estimates called the LEAST SQUARE estimates.
- Give an example from your discipline where you think linear regression would be appropriate.
