Determine a population regression equation
What assumptions do you make when using the technique of least squares to determine a population regression equation containing two or more explanatory variables?
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Use the information given below to determine the P value. Also use a 0.05 significance level and state the conclusion about the null hypothesis(reject the null hypothesis or fail to reject the null hypothesis).
A government sample survey plans to determine the blood cholesterol level of an SRS of men aged 20-34. Assume that in fact the blood cholesterol level of all men aged 20-34 follows normal distrubution with mean 188 and standard deviation of 41.
Determine the null hypothesis? Determine the alternative hypothesis? Determine the rejections region? Determine the value of the test statistic?
An automatic machine in manufacturing procedure is operating properly if the lengths of significant sub component are normally distributed with mean =117 cm and standard deviation =5.2 cm.
Explain how the coefficient of determination and the adjusted R (squared) can be used to help evaluate the fit of a multiple regression model to the observed data.
If you're performing an analysis with a single response and several potential explanatory variables, how would you decide which variable to include in a multiple regression model and which to leave out?
A sample of TBU scores of 50 revealed a mean score of 330 with a standard deviation of 45. What is the 95% confidence interval of the mean, m, of these people? TBU scores distribute normally.
When the response variable of interest is dichotomous rather than continuous, why is it not advisable to fit a standard linear regression model using the probability of success as the outcome?
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