1. The following table shows data for the cost of natural gas in… 1. The following table

1. The following table shows data for the cost of natural gas in… 1. The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years since 1990, values in x column.a. Define the explanatory and response variables for this problem. (3pts)Explanatory Variable – is the year Response variable – is the price per million Btu b. Use the calculator to obtain the linear regression line of best fit for the original prices; round to three decimal places.   (3pts)Write the prediction equation in the for                  Year      xPrice in $ per Million Btu, y199006.28199116.01199226.26199336.89199446.75199556.45199667.39199778.09199888.00199998.142000109.4720011111.242002129.27  c. In a brief sentence, interpret the slope in the context of the problem. (3ptd.  Predict the price in dollars per million Btu for the year 2010. Then calculate the residual for the year 2010 if the actual price in 2010 was $11.31 per million Btu.  Use formula provided in formula box on page 1. Round to 3 decimals (5pts) e. What is the correlation coefficient, r,  rounded to two decimal places? Is the linear association between the variables “weak” or “strong”?  How do you know?   (3pts) f. Is the association positive or negative?  Circle one  (3pts)g. By calculator, find and label, the 5-number summary of the Natural Gas Price in $ per Million Btu.  (3pts)6.286.016.266.896.756.457.398.098.008.149.4711.249.27h. Create a BOXPLOT of the Natural Gas Price in $ per Million Btu.  (3pts)Show an appropriate scale along the number line.6.286.016.266.896.756.457.398.098.008.149.4711.249.27     i.  Conduct an outlier test as defined by the OUTLIER FORMULA for Natural Gas Price in $ per Million Btu and indicate any low or high outliers.     (Show all work)   (3pts)6.286.016.266.896.756.457.398.098.008.149.4711.249.27  Math MATH 117 Share QuestionEmailCopy link