Data Representation
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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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Solution Summary
The solution addresses 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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Answers:
a.) We can compute the estimator of parameter a and b in regression model y=a+bx by least-squares method. And the equation is b= ; a= -b* . denote the ...
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