MATH302 Week 7 Knowledge Check Homework Practice Questions

1. Question: A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. What is the dependent variable? 2. Question: Which of the following equations are linear? 3. Question: You are thinking about opening up a Starbucks in your area but what to know if it is a good investment. How much money do Starbucks actually make in a year? 4. Question: You move out into the country and you notice every Spring there are more and more Deer Fawns that appear. You decide to try and predict how many Fawns there will be for the up coming Spring. 5. Question: You are thinking about opening up a Starbucks in your area but what to know if it is a good investment. How much money do Starbucks actually make in a year? 6. Question: You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages. You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages. You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision. 7. Question: Which residual plot has the best linear regression model? 8. Question: An object is thrown from the top of a building. The following data measure the height of the object from the ground for a five second period. The following four plots were part of the regression analysis. 9. Question: The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. 10. Question: The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. 11. Question: You determine there is a strong linear relationship between two variables using a test for linear regression. Can you immediately claim that one variable is causing the second variable to act in a certain way? 12. Question: If there are 15 data points in a set of data, what is the number of degree of freedom for the Residual? 13. Question: The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. 14. Question: To test the significance of the correlation coefficient, we use the t-distribution with how many degrees of freedom? 15. Question: What are the hypotheses for testing to see if a correlation is statistically significant? 16. Question: Choose the correlation coefficient that is represented in the scatterplot. 17. Question: The correlation coefficient, r, is a number between: 18. Question: An object is thrown from the top of a building. The following data measure the height of the object from the ground for a five second period. Calculate the correlation coefficient using technology (you can copy and paste the data into Excel). Round answer to 4 decimal places. 19. Question: A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. 20. Question: Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below.