Individual Assignment 1 (To be submitted through the Dropbox)

Value: 25 Points

Question 1 (5 Points)

1. You are provided with data for several nations from the Human Development Report, 2003.

1. Many researchers believe there is a relationship between a country's level of production and its fertility rate. Using the dataset provided, compute summary statistics (mean, median, mode, standard deviation) for the variables of GDP (GDP per capita in thousands of dollars) fertility (number of children per woman.

Provide descriptions of the distributions based on the summary statistics. Address skewness in your description.

1. Generate a scatterplot with clearly labeled axes for fertility and GDP. You can put fertility rate on the Y axis.

1. Compute the correlation between fertility and GDPand interpret it. Refer to both the strength and direction of the correlation in your interpretation.

1. Interpret the correlation as a coefficient of determination.

Question 2 (5 points)

You are given data about the per capita personal income and infant mortality rate for a number of Tennessee Counties during 2010.

1. Generate a scatterplot of the two variables. Describe the relationship depicted on the scatterplot.

1. Compute the Pearson's correlation coefficient between the two variables.

1. Provide an interpretation of the correlation obtained. Refer to both the strength and direction of the correlation in your interpretation.
2. Also interpret the correlation in terms of r-squared (coefficient of determination).

Question 3 (5 Points)

Using the data provided from the US Statewide Crime Rate, conduct a regression to predict murder rate using a metropolitan index.*Metropolitan is an index that measures the degree of urbanization for that state. A higher value indicates a greater degree of urbanization, or greater degree of city life.

Show the results of the regression.

1. What is the value of the intercept a?

1. What is the value of the slope b?

1. What is the predicted murder rate for a state with a metropolitan index of 60.5?

1. Interpret the value of the R-squared for the regression model.

e. Which other 2 variable(s) in the data set, or just in general, do you think would also be a good predictor for the state-level murder rate? Explain in a sentence or two.

Question 4 (10 Points)

Using data provided from the US Statewide Crime data set:

1. Construct a scatterplot using Excel or any software (SPSS or R) between the variables "murder rate" and "Literacy rate." Provide an appropriate title for the chart as well as labels for both axes.

Describe the pattern that emerges. What might this relationship imply?

1. Compute the correlation coefficient between the two variables and interpret this correlation (when the outlier is removed).Refer to both the strength and direction of the correlation in your interpretation. Also interpret the correlation in terms of r-squared (coefficient of determination).

1. Conduct a regression to predict murder rate from literacy rate (when the observation for DC is removed from the data set) and interpret the results.

1. What is the predicted murder rate for a state with a literacy rate of 32.

1. Interpret the value of the R-squared for the regression model.