Chapter 15, Problem 15.37CYU

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

Why the regression line is a straight line rather than a curved line?

Show the difference between the "complete model" and "reduced model of regression analysis?

Shelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 136 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 11 mg/dl. a)What are the mean and standard deviation of the distribution of sample proportion if measurements are made instead on 40 separate days? b)If measurements are made on 40 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? c)Let’s consider what could happen if we took 40 separate measurements from Shelia. What is the blood glucose level L such that the probability…

Why is regression analysis the 'magic elixir'?

Explain the assumptions are needed to calculate the various inferential statistics of linear regression?

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. In a test to screen for gestational diabetes, a patient is classified as needing further testing for gestational diabetes if the glucose level is above 120 milligrams per deciliter (mg/dL) one hour after a sugary drink. Shelia's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 105 mg/dL and σ = 15 mg/dL. (Round your answers to four decimal places.) (a) If a single glucose measurement is made, what is the probability that Shelia is diagnosed as having gestational diabetes?(b) If measurements are made on three separate days and the mean result is compared with the criterion 120 mg/dL, what is the probability that Shelia is diagnosed as needing further testing for gestational diabetes?

What are the different ways to reduce the error in least square regression?

Explain the first step in the written development of a regression model?