23.01.2023

# A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes, and their age of death. The data is summarized below: ∑x=1257 ∑y^2=836 ∑x^2=98823 ∑y=116∑(xy)=8249Find the correlation coefficient (r):

1

09.07.2023, solved by verified expert

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

How to calculate the correlation coefficient

The correlation coefficient (r) is calculated as:

Using the given parameters, we have:

Evaluate the exponents

Evaluate the products

Evaluate the differences

Evaluate the product

Evaluate the root

Evaluate the quotient

Hence, the correlation coefficient is 0.53

### Faq

Mathematics

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

How to calculate the correlation coefficient

The correlation coefficient (r) is calculated as:

Using the given parameters, we have:

Evaluate the exponents

Evaluate the products

Evaluate the differences

Evaluate the product

Evaluate the root

Evaluate the quotient

Hence, the correlation coefficient is 0.53

Mathematics

The answer is in the image

Mathematics

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Mathematics

The solution is in the following image

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics