Can someone help me with this 1. A recent TV commercial for Cheerios includes th

Question

Can someone help me with this 1. A recent TV commercial for Cheerios includes the following statement "Studies show that people who eat more whole grain tend to weigh less than those who don't. Below is the SPSS output showing the correlation between weight (in pounds) and whole grain consumption (in grams per day). Use this information to answer the questions that follow. Whole Grain Consumption in gramsiday) Weight (in Ibs.) 279 047 51 Whole Grain Consumption in grams/day) Pearson C Sig. (2-tailed) on Pearson Correlation51 Sig. (2-tailed 047 51 51 Correlation is significant at the 0.05 level (2-tailed a) What does the sign of our r value tell us about this relationship? 1 point We can conclude that when the amount of whole grain consumption increases, the weight in pounds decreases b) What does the magnitude of our r value tell us about this relationship? 3 points The magnitude tells us that the relationship strength of the correlation is moderate. So the correlation of the weight and the whole grain consumption is in between a weak and a strong relationship. What would be our degrees of freedom value for this correlation? 1 point c) Our df value for this would be 49, or if no 49 then 40. Do these resuls suggest that eating whole grain causes people to lose weight? Why not? Give an example of a "third variable" (another variable) that might explain this correlation. 5 points d)

Explanation / Answer

a) r = -0.279

since r is negative . there is negative relatiion between two variable ,

that is when whole grain consumption increases the weight decreases

b)

A perfect downhill (negative) linear relationship

–0.70. A strong downhill (negative) linear relationship

–0.50. A moderate downhill (negative) relationship

–0.30. A weak downhill (negative) linear relationship

magnitude of r =0.279 , this is weak linear relation

c)

df =n-2

= 51-2 = 49

d)

since r is very less , the result does not suggest that eating whole grain causes people to lose weight

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