1. A study was performed to evaluate a potential relationship between heart rate and exercise minutes per week in a random sample of 11 subjects aged 20 to 29 years.

The results were as follows:

Exercise (min/week) HR (beats/min)

10 88

20 83

30 78

40 75

50 78

60 75

70 70

80 66

90 63

100 65

110 60

Using the attached file, perform a simple linear regression analysis with the dependent variable, HR, and independent predictor variable, Exmin/week.

Assume normality and equal variance. Use ? = 0.05 (two-tailed) and assume 80% power.

a) State the null and alternative hypotheses for testing the slope.

b) List the critical value for testing the slope.

c) List the R2.

d) Report your decision based on the critical value (reject Ho and accept Ha OR fail to reject Ho), P-value, and 95% confidence interval.

e) If the decision was to fail to reject Ho, can Ho be accepted?

The REG Procedure Model: MODEL1 Dependent Variable: hr Number of Observations Read 11 Number of Observations Used 11 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 10421 10421 161.94 <.0001 error corrected total root mse r-square dependent mean adj r-5q cooff var parameter estimates standard variable df estimate t value pr> |t] 95% Confidence Limits Intercept 327.46747 21.15674 15.48 <.0001 exmin>