This Question 15 pts 30 of 30 24 complete This Test 175 pts

This Question: 15 pts | 30 of 30 (24 complete) This Test: 175 pts possible The percents of girls age x or younger who have been sexually active are given in the table. a. Create a logarithmic functon that models the data, using arn Age Cumulative Percent Sexually Active Girs 5.8 input equal to the age of the girls. 15 b. Use the model to estimate the percent of girls age 18 or 16 12.7 younger who have been sexually active. 17 18 19 20 27.1 44.2 62.8 c. Find the quadratic function that is the best fit for the data. d. Graph each of these functions on the same axes with the data points to determine which function is the better model for the data a. Give the logarithmic function below Type integers or decimals rounded to the nearest thousandth as needed.) b. The logarthmic model predicts that% of girls age 18 or younger have been sexually active. Type an integer or decimal rounded to the nearest tenth as needed.) c. Give the quadratic function below (Use integers or decimals for any numbers in the expression. Type integers or decimals rounded to the nearest thousandth as needed) d. Which function is the better model for the data? O The quadratic model is better. O The logarithmic model is better. Click to select your answer(s).

Solution

I entered these onto
xuru.org website

----> Regression tools ------> logarithmic regression

Then i entered these values...
(15,5.8)
(16,12.7)
(17,27.1)
(18,44.2)
(19,62.8)
(20,73.7)

And got answer as :
y = -679.070 + 250.853ln(x) ----> ANS

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b)
y = -679.070 + 250.853ln(18)

45.9884265835266015

46.0% ----> ANS

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c)
For quadratic, we get

y = 0.657x^2 - 8.517x - 16.4 ---> ANS

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d)
Quadratic is better