Question

A linear model shows that a relationship between the number of grocery items purchased and the total cost of the grocery bill has a correlation coefficient of 0.97.
Which statement about the variables is true?
Question 3 options:


Purchasing more items causes a higher cost of the grocery bill.


If a grocery bill has a higher cost, then more items must have been purchased.


There is no relationship between the number of items purchased and the total cost of the grocery bill.


There is a strong relationship between the number of items purchased and the total cost of the grocery bill.

Answer 1

The true statement about the variables is : There is a strong relationship between the number of items purchased and the total cost of the grocery bill.

Step-by-step explanation:

Correlation coefficient is a statistical measure which shows the strength of relationship in two variables.

When the correlation coefficient is -1.0, it means there is a perfect negative correlation.Here variables behave in an opposite manner when compared, to mean a positive increase in one variable causes a decrease in the other variable.

When the correlation coefficient is 1.0, it means there is a perfect positive correlation.Here a positive increase in one variable will result to an increase in the other variable.

When the correlation coefficient is 0.0, there is no relationship between the two variables.

The strength of relationship varies according to the value of correlation coefficient. For example, a correlation coefficient of 0.2 will mean a weak positive correlation between the two variables which is insignificant. However, a correlation coefficient of 0.9 and more will mean a very strong relationship between the variables.

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Correlation coefficient : brainly.com/question/10285237

Keywords : linear model, relationship, correlation coefficient

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