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1. The following table gives the systolic blood pressure and ageof 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 asweak, moderate, or strong.

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

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

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

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

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

7. g) Conduct a hypothesis test at the 5% level of significance totest 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 theword predict is in the question, it specifically asks for theconfidence interval.)

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