Regression Exercise #1Dr. LambertRsch 6110UNC Charlotte1.Design a study to determine whether the temperature, as recorded by the thermometer in yourbackyard, agrees with the temperature reported by the local cable station.Assume the cable station isreporting the current temperature as recorded at the local airport 10 miles from your house.2.Now suppose that you implement the study you designed and collect the airport temperature and yourbackyard temperature for 30 days.You record the airport temperature in degrees Celsius andFahrenheit.You record the backyard temperature only in degrees Fahrenheit.3.Without looking at any data, what would you expect the regression equation to be if you used theairport degrees Celsius values to predict the airport degrees Fahrenheit?4.What you expect the r2to be?5.Suppose the temperature in your backyard is typically 5 degrees hotter than at the airport.What wouldyou expect the regression equation to be if you used airport degrees Fahrenheit to predict backyarddegrees Fahrenheit?6.Suppose the temperature in your backyard is typically 3 degrees colder than at the airport.What wouldyou expect the regression equation to be if you used airport degrees Fahrenheit to predict backyarddegrees Fahrenheit?7.What would you expect r2to be for the situations described in questions 5 & 6?8.Now open the file called Regression Exercise #1 Data on the website.Use the data contained on theTemperature Problem tab to find the regression equations and r2values for the following problems:Airport Celsius predicting Airport FahrenheitAirport Celsius predicting Backyard FahrenheitAirport Fahrenheit predicting Backyard Fahrenheit