Scores on an accounting exam ranged from 44 to 91, with quartiles Q1= 54.25, Q2=61.5, and Q3=79.25. (a) Select the correct box plot for the given data. BoxPlot A BoxPlot B BoxPlot BoxPlot 40 50 60 70 80 90 100 40 50 60 70 80 O:BoxPlot A O BoxPlot B O BoxPlot C (b) Describe its shape (skewed left, symmetric, skewed right). O The distribution is symmetric. O The distribution is skewed left. The distrihution is skewed right
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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**Scores on an accounting exam ranged from 44 to 91, with quartiles \(Q_1 = 54.25\), \(Q_2 = 61.5\), and \(Q_3 = 79.25\).**
**(a) Select the correct box plot for the given data.**
- **Box Plot A**
Description: Box Plot A shows a distribution with a median around 76. The interquartile range spans from approximately 58 to 85. The whiskers suggest a minimum close to 44 and an upper whisker reaching around 91.
- **Box Plot B**
Description: Box Plot B exhibits a median around 61. The interquartile range extends from roughly 54 to 79. Whiskers indicate a lower value near 44 and an upper value near 91.
**(b) Describe its shape (skewed left, symmetric, skewed right).**
- ○ The distribution is symmetric.
- ○ The distribution is skewed left.
- ● The distribution is skewed right.
**Explanation:**
The box plot selected here (Box Plot B) indicates that the distribution of scores may be skewed right. This is inferred from the longer whisker on the left side and the concentration of the central box closer to the lower quartiles, suggesting that there are higher outliers influencing the distribution's shape.
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