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kolbaska11 [484]
2 years ago
14

A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following d

ata. Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 29 26 26 22 29 31 21 35 25 26 Compute the sample correlation coefficient. (Round your answer to two decimal places.) Interpret the sample correlation coefficient. There is a strong negative relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with lower miles per gallon.
Mathematics
1 answer:
dezoksy [38]2 years ago
5 0

Answer:

R = -0.90 (2 decimal places)

Step-by-step explanation:

Given the data :

Speed (Miles per Hour) :

30

50

40

55

30

25

60

25

50

55

Miles per Gallon :

29

26

26

22

29

31

21

35

25

26

The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.

Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.

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Compare the quantities in Column A and Column B.
GaryK [48]

The y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

The equations are given as:

2y = 3x - 4

4x - 2y=4

Make y the subject in both equations

<u>First equation</u>

2y = 3x - 4

y = \frac 32x - 2

<u>Second equation</u>

4x - 2y=4

y = 2x - 2

A linear equation is represented as:

y = mx + b

Where b represents the y-intercept

So: By comparison,

b_1 = 2 --- the y-intercept of the first equation

b_2 = 2 --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

Read more about y-intercepts at:

brainly.com/question/4015585

6 0
2 years ago
a soccer team won 6 games out 10 total game if they played 25 total games how many games did they win
Lana71 [14]
Okay, so if with 10 games, they win 6, they would win 12 with 20. To find the 5, you would find half of 6 (since half of 10 is 5). Half of 6 is three. 3 plus 12 is 15. They would win 15 games. 
8 0
3 years ago
Read 2 more answers
The graph shows the amount Tina earns, w, before taxes after working h hours. How much does tina earn per hour?
liubo4ka [24]

Answer:

$8 per hour

Step-by-step explanation:

hope i was able to help , take care be safe and have a good day

7 0
2 years ago
A number cube is tossed and one card is randomly drawn. Find P(3, yellow) (BTW There are 5 cards 3 yellow 2 blue) The answer cho
adelina 88 [10]
I believe its 1/10 because there are 10 cards 
5 0
3 years ago
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The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter
Stels [109]

Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

5 / (5.6 /√20)  

= 3.99  

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.  

4 0
3 years ago
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