1. Consider the normal linear regression model Y N(a + x, 2). Data pairs (xi, Yi)...

Transcribed Image Text:

1. Consider the normal linear regression model Y N(a + x, 2). Data pairs (xi, Yi) of sample size n = 43 have been collected and summarised below: ~ n xi = i=1 n n n n 11.3, ? = 154.8, = 19.2, y = 13.5, & xiyi = 24.9. i=1 i=1 i=1 i=1 From this data, compute the least-squares estimates for a and B. Given that the residual variance estimate is s = 0.0544, evaluate the expected value and 95% prediction interval a future response Yo at x0 = = 10. Clearly state the definitions/formulas you are using in this question and report the pre- dicted value and interval correct to 2 decimal places. From the given information, provide a brief comment about this prediction. 1. Consider the normal linear regression model Y N(a + x, 2). Data pairs (xi, Yi) of sample size n = 43 have been collected and summarised below: ~ n xi = i=1 n n n n 11.3, ? = 154.8, = 19.2, y = 13.5, & xiyi = 24.9. i=1 i=1 i=1 i=1 From this data, compute the least-squares estimates for a and B. Given that the residual variance estimate is s = 0.0544, evaluate the expected value and 95% prediction interval a future response Yo at x0 = = 10. Clearly state the definitions/formulas you are using in this question and report the pre- dicted value and interval correct to 2 decimal places. From the given information, provide a brief comment about this prediction.