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adell [148]
3 years ago
14

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Find the linear approximation of the data that passes through the points (5, 3) and (20, 6).
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

Linear approximation is given by: y = \frac{x}{5}+2

Step-by-step explanation:

We are given the following information in the question:

Number of citations:      5      7.5      10      15       20

 Outputs Residuals:       3       6       10       5          6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2

The above equation is the required linear approximation.

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2 years ago
Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma
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Answer:

Pedro spent 9 weeks with his uncle and his friend.

Step-by-step explanation:

First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

       3\frac{1}{2}                   2

___________________

1       2       3       4       5       6       7       8       9       10        

3\frac{1}{2}+2=5\frac{1}{2}

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

       3\frac{1}{2}                                   5\frac{1}{2}

__________________________________

1       2       3       4       5       6       7       8       9       10  

3\frac{1}{2} + 5\frac{1}{2}=9

According to this, the answer is that Pedro spent 9 weeks with his uncle and his friend.

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3 years ago
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