#### Description of this paper

##### 1) Five observations collected in a regression stu...

**Description**

Solution

**Question**

1) Five observations collected in a regression study are as follows: X 2 4 6 8 10 Y 1 3 4 15 20 a) Is there sufficient evidence using the observed data to conclude that a positive linear relationship exists between X and Y? Use a 5% significance level. b) Compute the 95% confidence interval for the slope of the population regression line. 2) The following data were collected on two variables X and Y. X 1 2 4 6 10 12 Y 20 15 12 10 5 1 a) Specify the null and alternate hypotheses for testing that the population correlation is negative. b) Calculate the estimate of the population correlation coefficient between X and Y. c) Calculate the coefficient of determination. d) Using a 5% significance level, test the hypothesis in part a). 3) Data for X and Y are given below. X 12 15 20 25 30 Y 2 6 10 20 50 a) Calculate the least squares line. b) Determine a 90% confidence interval for the mean value of Y using X = 10. c) Determine a 90% prediction interval for Y using X = 10.

Paper#11512 | Written in 18-Jul-2015

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