**URGENT** due in a few hours. Please do all of the parts. Directions are in the picture
Since 2014, the United Nations has conducted annual studies that measure the level of happiness among its member countries. Experts in social science and psychology are commissioned to collect relevant data and define measurements related to happiness. Happiness measurements are based on survey questions such as how people feel about their life (i.e. life ladders) levels of positive and negative emotion, freedom to make choices (life choices) and aggregated indicators such as social support, life expectancy, and relative household income. These data are converted into numerical scores for each member country. The accompanying table shows a portion of the United Nation's happiness data.
Country
Life Ladder
Social Support
Household Income
Albania
4.4623
0.5582
0.3317
Argentina
6.5133
0.8922
0.2726
Zimbabwe
3.7570
0.8534
0.5242
a. Conduct principal component analysis on all the variables except the Country variable. Should you standardize the data?
◯ Yes
◯ No
b. What percent of the total variability is accounted for by the first principal component? How many principal components must be retained in order to account for at least 80% of the total variance in the data? (Show your final answer as a percentage point with 2 decimal places)
Percent of the total variability
Number of principal components
c-1. Display the weights used to compute the first principal component scores. (Round your final answers to 4 decimal places.)
Weight
Life ladder
Social support
Positive emotion
Negative emotion
Life choices
Life expectancy
Household income index
c-2. Which original variable is given the highest weight to compute the second principal component?
was given the most weight to compute the second principal component
d. What is the principal component 1 score for the first record (Albania)? (Round your final answer to 4 decimal places.)
The first record (Albania) had a score of
for the first principal component
**URGENT** due in a few hours. Please do all of the parts. Directions are in the picture
Since 2014, the United Nations has conducted annual studies that measure the level of happiness among its member countries. Experts in social science and psychology are commissioned to collect relevant data and define measurements related to happiness. Happiness measurements are based on survey questions such as how people feel about their life (i.e. life ladders) levels of positive and negative emotion, freedom to make choices (life choices) and aggregated indicators such as social support, life expectancy, and relative household income. These data are converted into numerical scores for each member country. The accompanying table shows a portion of the United Nation's happiness data.
| Country | Life Ladder | Social Support | |
Household Income |
| Albania | 4.4623 | 0.5582 | |
0.3317 |
| Argentina | 6.5133 | 0.8922 | |
0.2726 |
|
||||
| Zimbabwe | 3.7570 | 0.8534 | |
0.5242 |
| Percent of the total variability | |
| Number of principal components |
c-1. Display the weights used to compute the first principal component scores. (Round your final answers to 4 decimal places.)
| Weight | |
| Life ladder | |
| Social support | |
| Positive emotion | |
| Negative emotion | |
| Life choices | |
| Life expectancy | |
| Household income index |
c-2. Which original variable is given the highest weight to compute the second principal component?
| was given the most weight to compute the second principal component |
d. What is the principal component 1 score for the first record (Albania)? (Round your final answer to 4 decimal places.)
| The first record (Albania) had a score of | for the first principal component |
