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lys-0071 [83]
1 year ago
11

a researcher found a study relating the distance a driver can see, y, to the age of the driver, x. when researchers looked at th

e 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.
Mathematics
1 answer:
amm18121 year ago
6 0

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

#SPJ4

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<h3>Original Equation:</h3>

-\frac{1}{3}+2z=-\frac{5}{6}

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}

Now that we have common denominators, add both sides by 2/6:

2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}

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<h3>Final Answer:</h3>

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