## DarkendSinz30 2 years ago For the table that follows, answer the following questions: x y 1 -1 2 -5 3 -9 4 - Would the correlation between x and y in the table above be positive or negative? - Find the missing value of y in the table. - How would the values of this table be interpreted in terms of linear regression? - If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

1. DarkendSinz30

Can u help me out?

2. srw1496

i can attempt to but idk if i'll be right lol

3. srw1496

the missing value is -13 i think

4. DarkendSinz30

thats all that matters at the moment been working on this test for the past 9 hours and have had trouble with 4 problems

5. srw1496

i think the correlation is negative but idk for sure

6. DarkendSinz30

|dw:1354422222993:dw| This is the table kinda looks like

7. srw1496

the slope of the line of best fit would be negative too i think

8. mahmit2012

|dw:1354422393361:dw|

9. mahmit2012

|dw:1354422478255:dw|

10. mahmit2012

|dw:1354422618536:dw|

11. DarkendSinz30

Sorry Mahmit can you type that it is hard to read the drawing of what your saying I can read some of it but not the words themselves

12. mahmit2012

|dw:1354423129456:dw|

13. mahmit2012

|dw:1354423246667:dw|

14. DarkendSinz30

right it is asking for the last number in the table

15. DarkendSinz30

which would be -13 correct?

16. DarkendSinz30

?

17. DarkendSinz30

Jim what is he saying?

18. jim_thompson5910

idk why you're going through all this trouble with regression when all points lie on the same line...namely y = -4x + 3 How did I get this? As you increase x, y is decreasing by 4 each time. So the slope is -4/1 = -4 So y = mx + b y = -4x + b -1 = -4(1) + b -1 = -4 + b -1 + 4 = b 3 = b b = 3 So the equation of the line is y = -4x + 3 You can check this by plugging in x = 1 to get y = -4x + 3 y = -4(1) + 3 y = -4 + 3 y = -1 So when x = 1, y is y = -1 Now plug in x = 2 to get y = -4x + 3 y = -4(2) + 3 y = -8 + 3 y = -5 So when x = 2, y is y = -5 Finally, plug in x = 3 to get y = -4x + 3 y = -4(3) + 3 y = -12 + 3 y = -9 So when x = 3, y is y = -9

19. jim_thompson5910

When x = 4, y is... y = -4x + 3 y = -4(4) + 3 y = -16 + 3 y = -13 So when x = 4, y is y = -13

20. DarkendSinz30

Thank you jim I have been on this stupid problem for over 4 hours trying to figure out the equation to use for it. Thank you so much

21. jim_thompson5910

yw