Question
D: A me 39. The systolic blood pressure of individuals is thought to be related to both age and weight. Let the , *2, and x3 respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression systolic blood pressure, age, and weight be represented by the variables x analysis for a random sample of 15 individuals Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean 15 154.58 155.18 154.58 3.115 0.804290 51.92 1.817 0.469147 15 51.92 52.925 15 185.62 185.52 185.62 4.076 1.052419 Variable Minimum Maximum 126 40 130 170 89 246 137.066 166.833 47.157 78.495 140.752 224.205 Correlations (Pearson) 0.858 0.814 0.603 Regression Analysis The regression equation is x, = 0.578 + 1.366 x2 + 0.889 x3 Predictor Constant Coef 0.578 1.366 0.889 R-sq-90.9 % StDev 0.611 0.567 0.464 R-sq(adj) = 95.8 % 0.95 0.181 2.41 0.016 1.92 0.040 S = 0.426 | Find a 90% confidence interval for the coefficient of x3 in the regression equation. A) (0.076,1.702) B) (0.839,0.939) C) (0.260,1.518) D) (0.062,1.716) E) (0.267,1.511)
Explanation / Answer
39)
we know that CI is given as
Point Estimate +- z*SD/sqrt(n) , where Z is the CI for 90% , which is 1.64
for x3 , the coefficient is
0.889 and 0.464 and N = 15
putting the values in the above equation
0.889 +- 1.64*0.464/sqrt(15)
= 0.692 , 1.085
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