The weights (kg) and blood glucose levels (mg/100 ml) of sixteen healthy adult m
ID: 3366062 • Letter: T
Question
The weights (kg) and blood glucose levels (mg/100 ml) of sixteen healthy adult males are listed below: weight glucose weight glucose 64 73 76.2 59.4 82.1 76.7 83.9 64.4 108 104 105 79 101 75.3 82.1 95 93.4 78.9 82.1 73 77.6 109 102 121 107 85 100 104 87 108 102 (a)Find the simple linear regression equation (b) Test Ho: = 0 using both the t test and analysis of variance (c) Test Ho: = 0 (d) Construct a 95% confidence interval for (e) What is the predicted glucose level for a man who weighs 95? Construct the 95% prediction interval for his weight. Let = 0.05 for all testsExplanation / Answer
By using minitab
a] Regression Equation
glucose = 61.9 + 0.510 weight
b] To test hypothesis,
H0: beta= 0 vs H1: beta is not equal to 0
Regression Analysis: glucose versus weight
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 368.80 368.798 4.29 0.057
weight 1 368.80 368.798 4.29 0.057
Error 14 1204.64 86.046
Total 15 1573.44
Coefficients
Term Coef SE Coef T-Value P-Value
Constant 61.9 19.2 3.22 0.006
weight 0.510 0.246 2.07 0.057
t stat = 2.07
pvalue = 0.057 > alpha = 0.05
Reject the null hypothesis
c] To test hypothesis
H0: rho = 0 vs H1: rho is not equal to 0
Correlation: weight, glucose
Pearson correlation of weight and glucose = 0.484
P-Value = 0.057 > alpha = 0.05
reject the null hypothesis.
e] weight =95
glucose = 61.9 + 0.510 weight
glucose = 61.9 + 0.510 *95
glucose = 110.35
Prediction for glucose
Regression Equation
glucose = 61.9 + 0.510 weight
Variable Setting
weight 95
Fit SE Fit 95% CI 95% PI
110.303 4.92314 (99.7441, 120.862) (87.7796, 132.827)
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