# Question: Suppose that a single y observation is made at each

Suppose that a single y observation is made at each of the x values 5, 10, 15, 20, and 25.

a. If s = 4, what is the standard deviation of the statistic b?

b. Now suppose that a second observation is made at every x value listed in Part (a) (for a total of 10 observations). Is the resulting value of σb half of what it was in Part (a)?

c. How many observations at each x value in Part (a) are required to yield a σb value that is half the value calculated in Part (a)? Verify your conjecture.

a. If s = 4, what is the standard deviation of the statistic b?

b. Now suppose that a second observation is made at every x value listed in Part (a) (for a total of 10 observations). Is the resulting value of σb half of what it was in Part (a)?

c. How many observations at each x value in Part (a) are required to yield a σb value that is half the value calculated in Part (a)? Verify your conjecture.

**View Solution:**## Answer to relevant Questions

Refer back to Example 13. 3 in which the simple linear regression model was fit to data on x = proportion who judged candidate A as more competent and y 5 vote difference proportion. For the purpose of estimating b as ...The authors of the paper “Decreased Brain Volume in Adults with Childhood Lead Exposure” (Public Library of Science Medicine [May 27, 2008]: e112) studied the relationship between childhood environmental lead exposure ...The article “Effect of Temperature on the pH of Skim Milk” (Journal of Dairy Research [1988]: 277– 280) reported on a study involving x = temperature (8C) under specified experimental conditions and y = milk pH. The ...An investigation of the relationship between x = traffic flow (thousands of cars per 24 hours) and y 5 lead content of bark on trees near the highway (mg/g dry weight) yielded the accompanying data. A simple linear ...An experiment was carried out by geologists to see how the time necessary to drill a distance of 5 feet in rock ( y, in minutes) depended on the depth at which the drilling began (x, in feet, between 0 and 400). We show part ...Post your question