2. The data file "Oil" contains a random sample of 105 observations from an oil price index and a stock index fund called Spider. A fund manager wishes to test whether there is a correlation between the oil index and the Spider index. (a) Construct a scatterplot of these two variables. Would you describe the relationship between these two variables as linear, nonlinear or neither? Would you describe the relationship as positive, negative or neither? (b) Calculate the correlation coefficient for this sample of data. Interpret the sign and the magnitude. (c) Construct and conduct an appropriate hypothesis test for determining whether these two variables are correlated in the population. Use a 5% level of significance. Interpret your conclusion within the context of this