40 statistics questions

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Exercise 14: Understanding Simple Linear Regression

Questions to Be Graded

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Date: 08-08-2020

1: According to the study narrative and Figure 1 in the Flannigan et al. (2014) study, does the APLS UK formula under- or overestimate the weight of children younger than 1 year of age? Provide a rationale for your answer.

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2: Using the values a = 3.161 and b = 0.502 with the novel formula in Figure 1, what is the predicted weight in kilograms (kg) for a child at 7 months of age? Show your calculations.

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3: Using the values a = 3.161 and b = 0.502 with the novel formula in Figure 1, what is the predicted weight in kilograms for a child at 10 months of age? Show your calculations.

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4: In Figure 2, the formula for calculating y (weight in kg) is Weight in kg = (0.176 × Age in months) + 7.241. Identify the y intercept and the slope in this formula.

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5: Using the values a = 7.241 and b = 0.176 with the novel formula in Figure 2, what is the predicted weight in kilograms for a child 3 years of age? Show your calculations.

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6: Using the values a = 7.241 and b = 0.176 with the novel formula in Figure 2, what is the predicted weight in kilograms for a child 5 years of age? Show your calculations.

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7: In Figure 3, some of the actual mean weights represented by the colored line with squares are above the dotted straight line for the novel formula, but others are below the straight line. Is this an expected finding? Provide a rationale for your answer.

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8: In Figure 3, the novel formula is (“Weight in kilograms = (0.331 × Age in months) - 6.868”). What is the predicted weight in kilograms for a child 11 years old? Show your calculations.

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9: Was the sample size of this study adequate for conducting simple linear regression? Provide a rationale for your answer.

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10: Describe one potential clinical advantage and one potential clinical problem with using the three novel formulas presented in Figures 1, 2, and 3 in a PICU setting.

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  1. s_name: Amanda
  2. sclass: Stats