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QUESTION

Tornadoes and Deaths by Year and Month (1950-1994) Year Total Torn Tornadoes by

Use Tornados data and find two months (month X and month Y) for which we have the SECOND strongest NEGATIVE correlation. Create the chart where x-axis and y-axis represent the tornadoes for month X and month Y. (Choose the months in chronological order X comes before Y) Properly label the chart and be sure that you have the fitted line as well as R2 and answer questions 1 to 4.

1. Which of the following statement is true? (4 points)

  •  a. The observed positive trend means that if we observe more tornadoes for month X we will also see more tornadoes for month Y.
  •  b. The observed positive trend means that as years go by we see more and more tornadoes.
  •  c. The observed negative trend means that if we observe less numbers of tornadoes for month X we will see less tornadoes for month Y.
  •  d. The observed negative trend means that as years go by we see less and less tornadoes.
  •  e. None of the choices.

2. If month X has 50 tornadoes what is the prediction for month Y? (give the exact number using the line equation) (4 points)

  •  a. 22.213 tornadoes observed in month Y if month X has 50 tornadoes
  •  b. 80.05 tornadoes observed in month Y if month X has 50 tornadoes
  •  c. 17.7 tornadoes observed in month Y if month X has 50 tornadoes.
  •  d. 117.15 tornadoes observed in month Y if month X has 50 tornadoes
  •  e. None of the choices.

3. Based on this analysis, would you say that this prediction is very reliable, somewhat reliable or not reliable and why? (4 points)

  •  a. not very reliable prediction because R-square is small and data on the chart looks very random. Correlation = -0.13 is rather weak so the number of tornadoes in month X is not a good predictor of the number of tornadoes in month Y.
  •  b. not reliable prediction because R-square=0.0498 is small and data on the chart looks very random. Correlation=-0.223 is weak so the number of tornadoes in month X is not a good predictor of the number of tornadoes in month Y.
  •  c. somewhat reliable prediction because R-square=0.0498 is decent and data on the chart looks very random. Correlation=-0.223 is moderate so the number of tornadoes in month X is a good predictor of the number of tornadoes in month Y.
  •  d. somewhat reliable prediction because R-square =0.0159 is decent and data on the chart looks very random. Correlation=-0.13 is moderate so the number of tornadoes in month X is a good predictor of the number of tornadoes in month Y.
  •  e. None of the choices.

4. What are the months X and Y? (4 points)

  •  a. February and April
  •  b. August and December
  •  c. July and August
  •  d. None of these
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