In: Statistics and Probability
Can the consumption of water in a city be predicted by temperature? The following data represent a sample of a day’s water consumption and the high temperature for that day. Water Use (millions of gallons) Temperature (degrees Fahrenheit) 219 103ο 56 39 107 77 129 78 68 50 184 96 150 90 112 75
a. Develop a least squares regression line to predict the amount of water used in a day in a city by the high temperature for that day. .
b. What would be the predicted water usage for a temperature of 100ο?
c. Evaluate the regression model by calculating se, by calculating r2, and by testing the slope. Let alpha = .01. *(Round your answer to 2 decimal places.) **(Round the value of SSE to 4 decimal places. Round your answers to 3 decimal places.)
a. y Overscript ̂ EndScripts = plus x (Do not round the intermediate values. Round your answers to 4 decimal places.)
b. y Overscript ̂ EndScripts = (Do not round the intermediate values. Round your answers to 2 decimal places.)
c. se = **
r2 = *
Observed t = *