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Len [333]
3 years ago
9

Rohit wants to find the best model for a bivariate data set. He used a calculator to create a linear model, a quadratic model, a

nd an exponential model. The coefficient of determination for the linear model was 0.85. The coefficient of determination for the quadratic model was 0.90. The coefficient of determination for the exponential model was 0.81. Which model should he use to represent the data set?

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0

The answer is quadratic, I took the test.

sasho [114]3 years ago
5 0

Answer: quadratic

Step-by-step explanation:

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4-13 Students in a management science class have just re- ceived their grades on the first test. The instructor has provided inf
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a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.

Step-by-step explanation:

For part a,

We first plot the data using a graphing calculator.  We then run a linear regression on the data.

In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99.  This gives us the equation

y = 0.74x + 18.99.

For part b,

To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:

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The value of r is 0.92.  This tells us that the line is a 92% fit for the data.

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