4. Answer questions about the charts shown below Itens o Burger King Me 8300 a.

Question

4. Answer questions about the charts shown below Itens o Burger King Me 8300 a. b. c. d. e. Which chart has a best fit line with a pasitive slope? Which chart most likely has a higher value of the correlation coefficient r (closest to -1 or +1)? Which chart has variables x and y that could more reasonably be used on either axis? Which chart has a positive correlation coefficient? On chart (b), the y-intercept is 850,056. Explain what it means in this example f, The equation for the best fit line on chart(a) is Y content in a Burger King menu item when protein content is 45g? 0.90X + 8.67 . What is the predicted value of fat 5. Review the chart shown: The chart shows a linear association between the number of hanging suicides in a year and the amount of money in billions of dollars the US spends on science. Explain the danger5 in assuming a meaningful relationship between two variables based on the value of R a. 530 kimber of- ngrg 5.iclde b. What is a spurious correlation? Explain how some spurious correlations can be misleading even though the variables are related. (see slides 21-25 in the Correlation powerpoint)

Explanation / Answer

(4-A)

           Chart A has a best fit line with a positive slope.

(4-B)

Chart B most likely has a higher value of the correlation coefficient r (closest to -1 or +1).

(4-C)

Chart B has variables x and y that could more reasonably be used on either axis.

(4-D)

Chart A has a positive correlation coefficient.

(4-E)

The y-intercept is 850,056 on chart B means, if x is 0 then y is 850,056, i.e., y always maintain that values.

(4-F)

   If X= 45, then

                      Y=0.90X +8.67

                     Y= 0.90*45 +8.67

                    Y = 49.17

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