Consider the following data set that contains information about the average price of a dozen eggs in ten randomly chosen cities:

City	Gas price per gallon ($)	Price of a dozen eggs ($)
Cleveland	2.21	0.98
New Orleans	2.77	0.99
Seattle	2.95	1.06
San Antonio	3	1.16
Denver	3.17	1.44
Milwaukee	3.23	1.48
Baltimore	3.38	1.54
Tampa	3.72	1.54
Los Angeles	3.81	1.62
Phoenix	4.03	1.65

The scatter plot that summarizes the data with regard to price of gas as the input variable and price of a dozen eggs as the output variable is provided below.2.22.32.42.52.62.72.82.933.13.23.33.43.53.63.73.83.940.911.11.21.31.41.51.61.71.81.9Gas Price, [$]Product Price, [$]

a. Is there an association between the two variables? If yes, is it positive or negative?

There appears to be a Select an answer negative no positive Correct association between the two variables.

b. Use technology to find the equation of the line of best fit, y=mx+by=mx+b, and the coefficient of determination and interpret the slope, the vertical intercept, and the correlation. (Round the answers to 3 decimal places.)

i. m=m= Select an answer gallons $ $/$ miles Correct is the Select an answer price of gas when a dozen eggs is free the rate of change of the price of gas the rate of change of the price of a dozen eggs price of a dozen eggs when the price of gas is zero Correct ;

ii. b=b= Select an answer miles gallons $ $/$ Correct is the Select an answer the rate of change of the price of gas price of gas when a dozen eggs is free the rate of change of the price of a dozen eggs price of a dozen eggs when the price of gas is zero Correct ;

iii.r=r= hence there is a Select an answer strong weak no Correct linear relation.

c. Use the line of best fit to:

i. estimate the price of a dozen eggs when the price of gas is 3.15 dollars per gallon.

Answer: dollars. (Round the answer to 2 decimal places)

ii. estimate the price of gas when the price of dozen eggs is 1.03 dollars.

Answer: dollars per gallon. (Round the answer to 2 decimal places)