2.)A study was carried out to analyze the effect of ambient temperature x on the electrical energy consumed by a chemical plant y. Other factors were held constant and data was collected from an experimental pilot plant y (BTU) (F) M (BTU) 250 27 265 31 285 45 298 60 320 72 267 34 295 58 321 74 a) Plot the data. b) Estimate the slope and intercept in a simple linear regression model. c) Predict the energy consumption for an ambient temperature of 65 F. a) evaluate s b) Construct a 95% confidence interval for Bo c) Construct a 95% confidence interval for B1