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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.

##### Solution Preview

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 ...

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.