Recent agricultural data showed the number of eggs produced and the price received per dozen for a given year. Based on the following data for a random selection of states, can it be concluded that a relationship exists between the number of eggs produced and the price per dozen?

Perform the following steps.
a. Draw the scatter plot for the variables.
b. Compute the value of the correlation coefficient.
c. State the hypotheses.
d. Test the significance of the correlation coefficient at α = 0.05, using Table I.
e. Give a brief explanation of the type of relationship.

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No. of eggs (millions) x 957 1332 1163 1865 119 273 Price per dozen (dollars)y 0.770 0.697 0.617 0.652 1.080 1.420