Question

In: Statistics and Probability

Does a person’s cholesterol level increase with age? Data collected from 1406 adults aged 45 to...

  1. Does a person’s cholesterol level increase with age? Data collected from 1406 adults aged 45 to 62 (with a mean age of 54 years) produced the regression analysis shown. Assuming that the data satisfy the conditions for inference, examine the association between age and cholesterol level.

Dependent variable is Cholesterol

s=46.16

Variable

Coefficient

SE(Coeff)

t-Ratio

P-value

Intercept

194.232

13.55

14.3

≤0.0001

Age

0.771639

0.2574

3

0.0056
  1. State the appropriate hypothesis for the slope.
  2. Test your hypothesis and state your conclusion in the proper context using the t-statistic/p-value.
  3. What’s the value of the standard error for the slope of the regression line? Explain what that means in this context.
  4. Find a 90% confidence interval for the slope and interpret it in this context.
  5. Find a 90% prediction interval for the cholesterol level of Santa Claus if he is 60 years old.
  6. Find a 90% prediction interval for the mean cholesterol level of all adults aged 60.
  7. The intercept is positive. Discuss its value and meaning.

Solutions

Expert Solution

orchestra answered 2 years ago
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