IMI - 2 Variable Data Practice (Part 3) Name Ethan ve loz INTERPOLATE and EXTRAPOLATE using a linear regression equation . ** THE EQUATION IS USED TO MAKE PREDICTIONS, THE TABLE CONTAINS ACTUAL VALUES ** The amount of electricity a household uses is related to the temperature outside. This can be modeled by the regression equation ly = 0.47x + 5.2, where x is the temperature in degrees Fahrenheit, and y is the amount of electricity consumed in kilowatt hours. Temperature ('F) | 56 65 72 75 80 82 Electricity (kWh) 31.5 35.3 38.9 40.2 42.1 43.9 a. Interpret the meaning of the slope for the line of regression (the equation). electricity.. nereuses by 3: 8 b. Interpret the meaning of the y-intercept for the line of regression (the equation). c. Interpolate a prediction for how much electricity would be consumed on a 70F day. d. Interpolate a prediction for how much electricity would be consumed on a 65OF day. e. Compare your value in the previous question to the ACTUAL data point for 650F. Is the regression equation producing accurate predictions? f. Extrapolate a prediction for how much electricity would be consumed on a 95OF day. Extrapolate a prediction for what the temperature would be when 26 KWh of electricity is consumed. Round to the nearest degree