Question

In: Statistics and Probability

A study is conducted concerning automobile speeds and fuel consumption rates. The following data is collected:                        &

  1. A study is conducted concerning automobile speeds and fuel consumption rates. The following data is collected:                                               

   X Speed   45        52        49         60         67         61       

  Y MPG    22         26        21        28        33         32       

                                                                                                                                 

  1.    Draw Scatter plot
  2. Compute the coefficient of correlation and make a comment about that.
  3. Compute the coefficient of determination and make a comment about that.
  4. Compute the coefficient of Non- determination and make a comment about that.
  5. Find Regression Line and make a comment about that. Also, at what location the line crosses               the y-axis.
  6. What is the “Residual’ at speed of 60?
  7.    What is the predicted fuel consumption at speed of 75 mph.

  1. Determine at the 0.05 significance level whether the correlation in the population is greater than zero.

Solutions

Expert Solution

a) scatter plot

scatter plot with regression line


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