Problem based on linear regression equation


Q1. The hours of study and the final exam grades have this type of relationship:

y = 7.35(hours) + 34.62.

Based on this linear regression equation, estimate the expected grade for a student spending 8 hours studying. Round your answer to two decimal places.

  • 58.80
  • 82.25
  • 91.97
  • 93.42

Q2. At a drive through window of a bank it's found that 10 customers get served every 15 minutes. The bank's manage is interested in finding a way to increase the number of customers that can be served. He thought that knowing the probability of serving 12 customers per 15 minutes could be helpful to him in the decision making process. Choose the best answer of the following:

  • This is an example of a Poisson probability experiment
  • This is an example of a Binomial probability experiment
  • This is neither a Poisson nor a Binomial probability experiment
  • Not enough information to determine the type of experiment

Q3. Microfracture knee surgery has a 75% chance of success on patients with degenerative knees. The surgery is performed on 5 patients. Find the probability of the surgery being successful on 3 or 4 patients?

  • 0.103516
  • 0.659180
  • 0.762695
  • 0.642875

Q4. It has been recorded that 10 people get killed by shark attack every year. What is the probability of having 7 or 8 people get killed by shark attack this year?

  • 0.130141
  • 0.202678
  • 0.220221
  • 0.797321

Q5. The median teaching hours for a full time faculty at a state university is eight hours per week. What does this tell you about the typical teaching hours for full time faculty at that university?

  • Half of the full time faculties teach less than eight hours per week while half teaches more than eight hours per week.
  • The average teaching hours for full time faculty is eight hours per week.
  • More full time faculty teaches eight hours per week than any other number of teaching hours.
  • The number of teaching hours for full time faculty in not very consistent because eight is such a low number.

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Basic Statistics: Problem based on linear regression equation
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