**Question 1**

- Write down the value of the crime rate per thousand population in Yorkshire and the Humber. Briefly describe and explain the data type in Table 1.
- Calculate the sample mean and sample standard deviation for both the “Unemployment Rate” and “Crime Rate per Thousand Population” variables.
- Assume that the crime rate per thousand population acts like a draw from a normal distribution with a mean and standard deviation given in part.
- What is the probability that the crime rate per thousand population is greater than 100?

**Question 2**

Use the information in Table 1 to estimate and interpret the intercept and slope coefficients of a bivariate linear regression model of crime rate per thousand population on unemployment rates

**Question 3**

- Calculate the residual sum of squares (RSS) and total sum of squares (TSS) from the estimated model in Question 2.
- Use the RSS and TSS to calculate and interpret the R2 .
- Perform a hypothesis test where the null hypothesis is that the coefficient associated with the "Unemployment Rate” variable is zero, based on the results you obtained in Question 2.
- Write the equation of Question 2 in matrix form.