Question

In: Statistics and Probability

1) The World Health Organization (WHO) studied the woman’s life expectancy and associated risk factors. They...

1) The World Health Organization (WHO) studied the woman’s life expectancy and associated risk factors. They found a linear relationship as: Life expectancy (year) = 47.17 + 30.7 Literacy percentage among women. Based on this linear model, what is the woman’s life expectancy in Mexico when women’s literacy percentage is about 80%?   

  • 77.87 years old

  • 76.77 years old

  • Around 81 years old

  • 71.73 years old

2) Study investigators at the University of Florida wanted to evaluate the correlation of mean admission multiple mini-interview (MMI) scores with cumulative (continuous data) and overall GPA across didactic years 1-3 in the doctor of pharmacy program. Which of the following should be used to calculate the correlation coefficient?  

  • Pearson correlation

  • Spearman correlation

  • Kendall correlation  

  • Canonical correlation

3) The results of the study are shown in Table 2 below. Which of the following statements is CORRECT?

Table Information: Mean Cumulative GPA= 3.61

Mean MMI Score (Max 24)= 19

Correlation Coefficient (r)= -0.05

p value=0.29

R^2= 0.003

  • There was NOstatistically significant correlation between MMI score and GPA.

  • There was a statistically significant negative correlation between MMI score and GPA.

  • The mean MMI score in the regression model accounted for 0.003% of the total variation in a given student’s cumulative GPA.

  • There was moderate negative correlation between MMI score and GPA.

4) Look at Table 2 below. Which independent variable had the largest contribution to the total PCOA score? (clue: β is the standardized coefficient in the Table.)

PCAT Score (B)

PY3 Pre-APPE GPA (B)

NAPLEX Score (B)

R^2

Total PCOA score

0.38^b

0.26^b

0.34^b

0.60

Basic Biomedical Sciences

0.32^b

0.28^b

0.13

0.33

Pharmaceutical Sciences

0.30^b

0.18^b

0.36^b

0.46

Social/Behavioral/Administrative Sciences

0.33^b

0.12

0.12

0.22

Clinical Services

0.25^b

0.24^b

0.33^b

0.43

  • PCAT Score  

  • PY3 Pre-APPE GPA  

  • NAPLEX Score

  • R2

Solutions

Expert Solution

1) The World Health Organization (WHO) studied the woman’s life expectancy and associated risk factors. They found a linear relationship as: Life expectancy (year) = 47.17 + 30.7 Literacy percentage among women. Based on this linear model, what is the woman’s life expectancy in Mexico when women’s literacy percentage is about 80%?   

We are given the following regression equation,
Life expectancy (year) = 47.17 + 30.7 Literacy percentage

We substitute the value of literacy precentage to find the life expectancy.

Life expectancy (year) = 47.17 + 30.7*(0.8) = 71.73

Correct answer = 71.73 years old


2) Study investigators at the University of Florida wanted to evaluate the correlation of mean admission multiple mini-interview (MMI) scores with cumulative (continuous data) and overall GPA across didactic years 1-3 in the doctor of pharmacy program. Which of the following should be used to calculate the correlation coefficient?
Correct answer : Spearman correlation

Spearman correlation helps us to understand the relationship between ordinal variable and a continous variable.

Pearson correlation : is used for continuous values
Kendall correlation: is used for two ordinal variable
Canonical correlation : it is used where multiple regression can be use to understand the effect of latent variables.

The next two questions are based on table 2, which is not given problem. Please provide a proper formatted table.



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