In a simple linear regression problem including n = 10 observations, which of the following table values would be appropriate for a 95 confidence interval estimation for the average value of y?
a. 2.228
b. 2.262
c. 2.306
d. 1.860
e. 18.60
Q. 2Which of the following statements is false regarding the residuals in simple linear regression model?
a. They sum to 0.
b. They have a mean of 0.
c. They have a standard deviation of 1.
d. None of these.
e. All of these.
Q. 3In simple linear regression, the plot of residuals versus fitted values y should:
a. be free of any patterns
b. appear as a random scatter of points about 0 on the vertical axis
c. approximately have the same vertical spread for all values y
d. all of these
e. none of these
Q. 4In simple linear regression, the plot of residuals versus fitted values 3 can be used to check for:
a. normality
b. a constant variance independent of x
c. independence
d. all of these
e. none of these
Q. 5In developing a 90 confidence interval for the expected value of y from a simple linear regression problem involving a sample of size 15, the appropriate table value would be 1.761.
Indicate whether the statement is true or false
Q. 6The confidence interval estimate of the expected value of y will be wider than the prediction interval for the same given value of x and confidence level. This is because there is more error in estimating a mean value as opposed to predicting an individual value.
Indicate whether the statement is true or false
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