Question

In: Statistics and Probability

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the...

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.

Solutions

Expert Solution

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)


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