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3 years ago

A quadratic and an exponential function were fitted to a data set. Their residual plots

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

The Exponential function provides a better fit of the data.

Step-by-step explanation:

The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. In comparing the scatterplots of Quadratic and Exponential functions, it is obvious that the points are clustered closer together in the Exponential function, while the data points on the Quadratic Function are more spread out.

Therefore, the Exponential function provides a better fit of the data set.

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Jocelyn bought 2 sweaters for the same price. She paid $23.56, including sales taxes of $1.36 and a $5.00 discount coupon. What

yKpoI14uk [10]

13.60 because you add the coupon discount back on and subtract tax cost and divide by 2

7 0

3 years ago

Read 2 more answers

A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.

Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}$

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}$

6 0

3 years ago

Uhhh just look at the screenshot then answer

klasskru [66]

Answer:

The Independent is the Number of Hours while the Dependent is the Number of Miles

Equation: y= 50x

Step-by-step explanation:

I Hope this helped

6 0

2 years ago

I'm stuck on this question:<br><br> What's 100 divided by 2?

koban [17]

Answer:

Step-by-step explanation:

100 into 2 parts is 50

5 0

3 years ago

A bag contains 5 red marbles , 2 blue marbles, 4 white marbles, and 1 yellow marble. if 2 marbles are chosen in a row , without

slega [8]

P of 1st white marble = 4/ 12

and P of 2nd white in a row = 3 /11

total = ( 4/12) * ( 3/11)
= 1/11

hope it helped

8 0

3 years ago