Use technology for Exercises 75–78. Open the Crash data set, which contains information about the severity of injuries sustained by crash dummies when the National Transportation Safety Board crashed automobiles into a wall at 35 miles per hour.

Question 13.76

crash

76. Perform a regression of the head injury severity on the chest injury severity .

  1. What is the regression equation? Write it out in words and numbers, so that a nonstatistician would understand it.
  2. Perform the appropriate hypothesis test, using level of significance .
  3. Clearly interpret the meaning of the slope estimate .
  4. Construct and interpret a 99% confidence interval for the true slope of the relationship between severity of head injury and severity of chest injury. How does your confidence interval support your conclusion in (b)?