You are given the following sample data for variables y and x :

a. Develop a scatter plot for these data and describe what, if any, relationship exists.
b. (1) Compute the correlation coefficient. (2) Test to determine whether the correlation is significant at the significance level of 0.05. Conduct this hypothesis test using the p -value approach. (3) Compute the regression equation based on these sample data and interpret the regression coefficients.
c. Test the significance of the overall regression model using a significance level equal to 0.05.