Question

Use the following table to answer the following questions

X Y

5 34

6 37

8 41

9 46

10 50

13 53

15 47

17 55

i)Make a scatterplot

ii) Find r to the nearest hundredth

iii) Using scatterplot determine the relationship between X and
Y

iv) Find r 2 and interpret its meaning.

v) Determine the regression equation y’ =

Answer #1

7- The following sample of observations were randomly
selected.
X
6
3
5
8 12
Y
4
8
6
10 14
Determine the correlation coefficient and interpret the
relationship between X and Y.
Find the Linear Regression equation.
Find the value of Y when X 11.
Please show calculations. Thank you.

(a) Let the statement,
∀x∈R,∃y∈R G(x,y), be true for predicate G(x,y).
For each of the following statements, decide if the statement is
certainly true, certainly false,or possibly true, and justify your
solution.
1
(i)
G(3,4)
(ii)
∀x∈RG(x,3)
(iii)
∃y G(3,y)
(iv)
∀y¬G(3,y)(v)∃x G(x,4)

The following data represents the sap production for trees of
various ages. use the data to answer the questions that follow:
Tree Age (years) Sap Production (in mL) 7| 200 ,50| 350 10| 370 17|
380, 35| 480, 8 280 27 420 40 430 12 320 45 360 22 480 42 390 30
430 37 450 a. Create a scatterplot of the above data using age as
the explanatory variable. Describe the relationship you see based
on the scatterplot b....

Calories
Carbs
780
55
420
34
520
45
290
33
600
47
480
35
290
30
290
35
230
30
680
45
420
35
560
53
740
42
400
40
250
31
230
24
240
32
370
33
450
47
790
56
520
41
640
42
530
57
410
45
330
32
460
27
920
53
180
11
280
16
350
39
380
37
470
45
610
58
400
44
370
40
620
67
580
67
310
30
420
47...

Ten salespeople were surveyed and the average number of client
contacts per month, x, and the sales volume, y (in thousands), were
recorded for each: X 40 42
44 40 41 46
50 48 50 55 Y
50 55 42 45
30 80 90 95
110 130
a) Find the correlation coefficient r.
b) Find the regression equation
c) Construct the scatter plot and graph the
regression equation.

Use the following dataset for the next four questions:
X: 5
3 6
3 4
4 6 8
Y: 13 15
7 12 13
11 9 5
1. (3 points) What is the correlation value “r”?
a. -0.98
b. -0.89
c. 0.89
d. None of the above
2. (3 points) Is the “r” signifcant at alpha = 0.05? (circle
one) Yes No
3. (4 points) Identify the regression equation below (note: Y is
the dependent variable):
a. Y = 19.12...

Use the following dataset and answer the following
questions.
x
6
15
9
21
20
18
y
16
25
20
35
40
29
Please do problems (b), and (c) BY HAND. You may use your
calculator.
a) The following scatter diagram has been taken from Minitab for
the above data.
What does the above scatter diagram indicate about the
relationship between the two variables?
b) Find the intercept of the estimated regression equation
(b0).
c) Find the slope of the...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year is
29 years. Is the result within 5 years of the actual Best Actor
winner, whose age was 43 years?
Best Actress
29
29
28
62
33
33
47
29
61
22
45
51
Best Actor
43
36...

The following table show the data on three variables X, Y and
Z
X
6
5
3
5
7
Y
1
2
3
4
3
Z
2
3
2
3
2
Given that X is a function of Y and Z, find the multiple
regression equation, hence find the
value of X when Y and Z are 5 and 4, respectively.

Use the data in the table below to complete parts (a) through
(d). x 38 33 41 47 44 50 59 54 52 y 21 20 24 29 26 27 25 21 24
LOADING... Click the icon to view details on how to construct and
interpret residual plots. (a) Find the equation of the regression
line. ModifyingAbove y with caret equals nothing x plus left
parenthesis nothing right parenthesis (Round to three decimal
places as needed.)

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