Marked out of 1.00 Flag question Above is a graph representing the data gathered

Question

Marked out of 1.00 Flag question Above is a graph representing the data gathered in a study examining the relationship between water fluoridation and the prevalence of Attention Deficient Creating a best fit line reveals an r value of 0.04. From this information which of the following can be determined? Hyperactivity Disorder (ADHA) Select one or more: .04% of ADHD is due to the influence of water fluoridation I. Water fluoridation causes ADHD I. This is an example of a negative correlation, meaning as water fluoridation increases the rate of ADHD cases decreases 4% of ADHD is due to the influence of water fluoridation I. This is an example positive correlation between the variables, meaning as water fluoridation increases so does the rate of ADHD cases

Explanation / Answer

We have R squared value =0.04

The R squared is defined as the percentage of variation in the response variable that is explained by the linear model.

R squared = Variation Explained by the model/ Total Variation.

R Squared is between 1 and 100%

0% tells us that model explains none of the variation in the response data around its mean.

100% tells us that model explains all of the variation in the response data around its mean.

The higher the R- Squared, the better will be the model fitting of the data.

So we can say that 4% of the ADHD is due to influence of the water fluoridation.

Since R is not given in the Question, only a hint can be provided here.

If R is positive then this is an example of positive correlation between the variables, i.e if water fluoridation will increase so will ADHD cases.

If R is negative then this is an example of negative correlation between the variables, i.e if water fluoridation will increase, ADHD cases will decrease.

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