The plot shown below describes the relationship between the age of drivers and the number of car accidents per
100 drivers in the year 2009.
Which of the following is the best estimate of the average change in the number of accidents associated with a
1 year increase in age?

Answer:

1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)

Step-by-step explanation:

Answer:

(a) There is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot created with Microsoft Excel

(c) There is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) The correlation will remain positive, and will increase

(ii) The correlation will remain constant

(f) The correlation and r will increase marginally

Step-by-step explanation:

(a) The given parameters are;

Total      [tex]{}[/tex]             Tip

$4.50     [tex]{}[/tex]             $0.75

$5.79     [tex]{}[/tex]             $1.00

$6.25     [tex]{}[/tex]             $0.75

$4.62     [tex]{}[/tex]             $0.58

$6.35     [tex]{}[/tex]             $1.00

From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip

Therefore, there is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot

(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase

(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant

(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally

Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :

A.)

The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.

B.)

The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.

C.)

The scatter plot shows a positive association or relationship between total and tips.

D.)

The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.

E.)

A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.

If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.

F.)

The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.

Learn more :https://brainly.com/question/18405415

Answer:

The slope is -5/2 as a fraction

or -2.5 as a decimal.

Step-by-step explanation:

First we have to get it into this format y = mx + b

5x + 2y = 6 (subtract 5x on both sides)

2y = -5x + 6 (divide by 2 on both sides)

y = -5/2x + 3

The slope is -5/2 or -2.5

Hope this helps ya!!

9514 1404 393

Answer:

  time

Step-by-step explanation:

When you see wording ...

  A is a function of B

it means that B is the independent variable.

Here, you have ...

  gallons ... is a function of time ...

so the independent variable is time.

Answer:

(0,5)

(5/6,35/9)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: [tex]y=-\frac{5}{4} x+5[/tex]

Step-by-step explanation:

Please mark brainliest if this helped :)

Answer

the answer is y=2x-x

Answer:

i dot kniw

Step-by-step explanation:

Answer:

C and B

Step-by-step explanation:

in x=5.9x-19.5 the y int is -19.5 (y=mx+b m = slope b =y int)

According to the information they earn 5.9 of something "every payday" and the y int is them starting out. The only logical answer is C for the first question because every other answer involves slope and not starting value.

For the second one it is B i think since causation means cause to effect or ratio. They are the only values that make since because they are related to eachother.

Sorry for the bad spelling if you need any more information please ask in comments :)

The answers of question 1 and question 2 are option C and B respectively.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

Given equation,

y = 5.9x - 19.5

And we have the slope intercept form

y = mx + b,

where m is the slope and b is the y-intercept.

Comparing above of both the equation,

Here, the y intercept is -19.5 and the slope is 5.9

According to the information they earn 5.9 of something "every payday" and the y intercept is them starting out.

The answer is C for the first question because every other answer involves years that means slope and not starting value.

For the second one,

answer is B i think since causation means cause to effect or ratio.

The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.

Relation is directly related to each other.

Therefore, the answers of question 1 and question 2 are option C and B respectively.

To learn more about the slope;

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#SPJ2

Answer:

27

Step-by-step explanation:

Answer:

He will read 72 chapters in 1 day

Step-by-step explanation:

Let us use the ratio method to solve this question

∵ Sam read 6 chapters in 2 hours

∵ He continues to read at this same rate for 1 day

→ We must change the day to hours

∵ 1 day = 24 hours

∴ We need to find how many chapters he will read in 24 hours

→ Chapter  :  Hour

→   6            :   2

→   x            :   24

→ By using cross multiplication

∵ x × 2 = 6 × 24

∴ 2x = 144

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{144}{2}[/tex]

∴ x = 72

∴ He will read 72 chapters in 1 day

16x + 21y = 555

Step-by-step explanation:

Let x be the no. of 18-hole course

And y be the no. of golf balls

16x + 21y = 555

Answer:

15

Step-by-step explanation:

With the two twins sister in mind we be dividing the difference of James's age with the combined ages

42-12/2

= 30/2

= 15

The age of his two sisters are 15

Answer:

b

Step-by-step explanation:

Answer:

a. very likely

b. 0 to 1

c. less than 0

Step-by-step explanation:

please mark as brainliest

Answer:

7.70%

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

Answer:

7.7 or 7.70

Step-by-step explanation:

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

the awnser would be 24cm^2

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line a passes through (2, 10) and (4, 13).  So, slope of this line is

[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]

Line b passes through (4, 9) and (6, 12).  So, slope of this line is

[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]

Line c passes through (2, 10) and (4,9).  So, slope of this line is

[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]

Product of slopes of to perpendicular lines is -1.

[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]

[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]

[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]

Therefore, any of these lines are not perpendicular to each other.

Answer:

2

Step-by-step explanation:

1x = [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]

[tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]+ [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]= [tex]\frac{d}{dx} }x^2[/tex]

[tex]\frac{d}{dx} }x^2[/tex] = 2x

2x/x = 2

Answer:

-4 and 9

Step-by-step explanation:

-4 + 9 = 5

-4 x 9 = -36

9514 1404 393

Answer:

  Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.

Step-by-step explanation:

In each case we have ...

  laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)

Yes, the rates are both 6 laps/min, so are equivalent.

Answer:

79/120

Step-by-step explanation:

Answer:

79/120

Step-by-step explanation:

You make all the answers to have the same denomination and then add them.

Answer:

8/3 = 2 x 4/3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because it makes sense and is proportional

Answer:

1399205

Step-by-step explanation:

Answer:

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

Answer:

b.) on edg.

Step-by-step explanation:

just did it

good luck!

Answer:

0.6 = [tex]\frac{6}{10}[/tex]

Answer:

(0,1.5) (0,-3)

Step-by-step explanation:

Hope it helps :)

Answer:

3

Step-by-step explanation:

92x0.2=18.4

18.4 is between 15 and 20

a) 2y = -3x -8

dividing through by 2

y = -3x/2 -4

b) 2y + 3x = 6

2y = -3x +6

dividing through by 2

y = -3x/2 + 3

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