In: Statistics and Probability
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 6 12 14 Round your answers to two decimal places. a. Using the following equation: Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Estimate the standard deviation of an individual value of y when x = 3. d. Using the following expression: Develop a 95% prediction interval for y when x = 3. to
a) standard deviation =0.76
b) 95% confidence interval =6.18 , 11.02
c) standard deviation =1.87
d) 95% prediction interval =2.66 , 14.54 ( please try 2.65 , 14.55 if this comes wrong)