Question

1. The following table gives the systolic blood pressure and age of patients.

Systolic Blood Pressure	Age
131	34
132	36
122	30
119	32
123	26
115	23
137	37

1. a) Determine an r value for this data and classify the value as weak, moderate, or strong.

2. b) Based on your calculated r value, what can you say about the slope of the regression line?

3. c) Determine the model equation. This is also called the regression line or the least squares line.

4. d) Refer to your notes around the assumptions of SLR. What is the value of∑ ? ? What is the mean of the error terms? How are the error terms distributed?

5. e) Calculate the values of the residuals and sum them.

6. f) Calculate the standard error, ?!, and ?", and describe the meaning of ?".

7. g) Conduct a hypothesis test at the 5% level of significance to test if the slope is significantly different from 0. What is the p – value? Determine a 95% confidence for ?#.

8. h) Suppose we want to predict the sbp for an average Age = 31. What would a 95% confidence interval be? (Notice that although the word predict is in the question, it specifically asks for the confidence interval.)

9. i) To predict the sbp, Y, for a person drawn at random who is aged 31, X, we would have 95% confidence in what interval? (Notice here the word confidence is used but it never specifically asks for a “confidence interval”. It just says 95% confidence in what interval. Here we are asking for a prediction interval)

Answer 1