As part of a research program for a new cholesterol drug, a pharmaceutical compa

Question

As part of a research program for a new cholesterol drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL (low-density lipoprotein) cholesterol of men. The following data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a 95% confidence interval to estimate the average LDL cholesterol level of a 33-year-old man. E Click the icon to view the data table. Determine the upper and lower limits of the confidence interval. UCL LCL (Round to one decimal place as needed.) Data Table 23 37 2631 431 1 Age Choleste 143 180 158 198 159 141 207 Print Done

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Cholesterol
Independent Variable: Age
Cholesterol = 103.52707 + 2.005698 Age
Sample size: 7
R (correlation coefficient) = 0.54426663
R-sq = 0.29622617
Estimate of error standard deviation: 23.980904

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

Required confidence interval will be:

UCL = 235.6

LCL = 103.8

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 103.52707 46.322542 ? 0 5 2.2349176 0.0757 Slope 2.005698 1.3825645 ? 0 5 1.4507085 0.2066

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