The accompanying data are x-cost (cents per serving) and y fiber content (grams

Question

The accompanying data are x-cost (cents per serving) and y fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Serving Serving Serving Serving (a) Compute the value of the correlation coefficient for this data set. (Round your answer to three decimal places.) Interpret the value of the correlation coefficient. There is a weak negative linear relationship between cost per serving and fiber per serving O There is a weak positive linear relationship between cost per serving and fiber per serving There is a strong positive linear relationship between cost per serving and fiber per serving There is a strong negative linear relationship between cost per serving and fiber per serving. There is no correlation between cost per serving and fiber per serving. (b) The serving size differed for the different cereals, with serving sizes varying from 1 cup to cups. Converting price and fiber content to "per cup" rather than "per serving" results in the accompanying data. Compute the value of the correlation coefficient for this new data set. (Round your answer to three decimal places.) Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data? The correlation coefficients are the same. The correlation coefficient for the per cup data is less than the correlation coefficient for the per serving data. O The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data.

Explanation / Answer

a)

x=cost per serving , y=fiber per serving

First enter Data into EXCEL

We have to find the correlation coefficient

Excel command is =CORREL(array1,array2)

correlation coefficient = r = 0.217

Interpretation : There is a weak positive linear relationship between cost per serving and fiber per serving

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