In: Statistics and Probability
Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 3 35.01 4 35.38 5 37.75 6 36.12 7 36.49 8 40.16 9 38.93 10 39.7 11 42.77 12 43.24 13 42.11 14 44.08 The equation is ˆ y = x + Interpret the y-intercept of the equation: In 2003, the temperature was about 0.84. It does not make sense to interpret the intercept in this scenario. In 2014, the temperature was about 44.08. In 2003, the temperature was about 32.17. In 2000, the temperature was about 32.17