Question

Kiran was looking to purchase a new dishwasher for her kitchen, and wondered if there was...

Kiran was looking to purchase a new dishwasher for her kitchen, and wondered if there was any relationship between the cost of the dishwasher and the amount of energy required to operate the dishwasher. While researching dishwashers she compiled the following data about the annual energy requirement in kilowatt-hours (kWh) for various models of dishwashers.

Energy Required (kWh) 290 320 430 499 515 549 575 595 595 660 710 799
Cost ($) 1120 1045 960 890 910 950 890 900 850 800 685 700
  1. Use Desmos.com to graph the data. Please include a screen shot of your graph and your data in your assignment.
  2. Using Desmos.com perform linear regression to determine the equation of the line of best fit and the correlation coefficient. Add the line of best fit to the graph.
  3. Describe the relationship in the data. Hint: refer to the correlation coefficient.
  4. Using your line of best fit; predict how much Kiran can expect to pay for a dishwasher that has an annual energy requirement of 380kWh.

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