Statistics Homework Solutions
Problem
#3497

Least square regression

1.The following data represent the number of calories per serving and
the number of grams of sugar per serving for a random sample of high -fiber
cerals.  Here are the data to test this claim.

Calories, x          200    210   170   190  200  180  210  210  210  
190
190  200

Sugar, y               18        23     17      20     18    19    23    
16
17     12   11   11

a. Determine the least-squares regression equation from the sample
data.
b. Compute the standard error of y'
c. Compute the standard error of the slope "b" (note y' = a+bx)
d. Construct a 95% confidence interval about the slope.

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