In: Statistics and Probability
Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury, for a sample of adults. The following table presents the results.
Systolic '
134
113
119
130
133
107
108
157
Diastolic
87
77
69
76
91
71
69
103
Use the TI-84 calculator. Construct a 99% confidence interval for the slope. Round the answers to at least four decimal places.
SSE =Syy-(Sxy)2/Sxx= | 172.073 |
s2 =SSE/(n-2)= | 28.6788 | |
std error σ = | =se =√s2= | 5.3553 |
std error of slope =se(β1) =s/√Sxx= | 0.1201 |
for 99 % CI value of t= | 3.707 | (from excel:tinv(0.01,6) | |
margin of error E=t*std error = | 0.4454 | ||
lower bound=b1+E= | 0.2177 | ||
Upper bound=b1+E= | 1.1086 |
99% confidence interval =( 0.2177 <ß1< 1.1086)