True or False: If the correlation coefficient from two variables X and Y , the number of shark attacks and number of iced lemonade sales, respectively, is r= 0.98, we can conclude that an increase in iced lemonade sales causes an increase in shark attacks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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True or False: If the correlation coefficient from two variables X and Y , the number of shark attacks and number of iced lemonade sales, respectively, is r= 0.98, we can conclude that an increase in iced lemonade sales causes an increase in shark attacks.

Expert Solution
Step 1

From the known information, a change in one variable affects the change in another variable. Which is called as correlation.

From the given information, let X be the number of shark attacks.

Let Y be the number of iced lemonade sales.

The correlation coefficient between and Y is,

r = 0.98.

Step 2

From the known information, if X is increases then Y is also increases or if X is decreases then Y is also decreases. Then such X and Y can be called as positively correlated. Here, the correlation coefficient r will be lies between 0 and 1.

If X is increases then Y is decreases or  X is decreases then Y is increases. Then such X and Y can be called as negatively correlated. Here, the correlation coefficient r will be lies between -1 and 0.

 

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