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# 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.

##### 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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