(1) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.)
y =
(2) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.)
(3) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 183. (Round your answers to two decimal places.)
(183, 0.80)
(183, 1.85)
(183, 1.96)
(183, 2.70)
Why do they not all have the same sign?
a. These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were larger than the predicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were smaller than the predicted value.
b. These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were smaller than the predicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were larger than the predicted value.
(4) What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round your answer to three decimal places.)
See the attached for the given
