Question

a researcher found a study relating the distance a driver can see, y, to the age of the driver, x. when researchers looked at the association of x and y, they found that the coefficient of determination was r squared equals 0.542. select two conclusions that the researcher can make from this data.

Answer 1

The two conclusions drawn can be

a)About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

b.) The correlation coefficient, r, is -0.736.

The coefficient of determination is denoted  as the percent of the variance in the dependent variable that is predictable from the independent variable.

Given, r² = 0.542

That means 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

Also, r = √0.542 = ±0.736 , where r determines the correlation coefficient.

As driver;s age increases the distance he can see decreases, so there is a negative correlation between them.

So r= -736.

Hence, The correlation coefficient, r, is -0.736.

The two conclusions drawn can be

a)About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

b.) The correlation coefficient, r, is -0.736.

To learn more about coefficient of determination refer here

brainly.com/question/17237825

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