In: Physics

x y

11 7.74

9 6.61

12 12.98

10 7.14

12 7.88

13 8.68

5 6.06

4 5.24

13 8.3

7 6.61

6 5.93*...*

Find the equation of the regression line.

y = mx + b

As we know that , the formula for the regression line is

y=mx+b --------------(1)

where b is y intercept and m is the slope of the given equation.

Firstly, we need to find m and b.

So the formula for m = (n(Σxy)-(Σx)(Σy)) **/**
(nΣx^{2} -(Σx)^{2}) --------------(2)

where n is the number of samples =11

Σx= 11+9+12+10+12+13+5+4+13+7+6=102

Σy=7.74+6.61+12.98+7.14+7.88+8.68+6.06+5.24+8.3+6.61+5.93= 83.17

Σx^{2}= 121+81+144+100+144+169+25+16+169+49+36=1054

Σxy=11*7.74+9*6.61+12*12.98+10*7.14+12*7.88+13*8.68+5*6.06+4*5.24+13*8.3+7*6.61+6*5.93 =820.2

From eq 2,

m=11*820.2-(102)(83.17)**/**
11*1054-(1054)^{2}

=>m=538.86/1190

=>m=0.4528

Now we have to find y intercept b,

The formula for b= ------------------(3)

= Mean of y sample

= Mean of x sample

From equation (3)

b=7.5609- 0.4528*9.2727 (m=0.4528)

=>b=3.3623

Therefore y=mx+b

=>y=0.4528x + 3.3623

Promotional expenses(x)
Sales(y
7
12
10
14
9
13
4
5
11
15
5
7
3
4
a) draw the scatter plot and draw the line of best fit
b) Calculate and interpret the correlation between promotional
expenses and sales
C) Calculate the regression equation( calculate the slope and
intercept of the regression line
d)Interpret the slop coefficient of regression equation
e)Using the regression equation calculate the sales volume with
respect to promotional expense of 4.
f) Obtain the coefficient...

Shoe Size
12
6
11
13
8
9
8
8
9
9
11
5
10
8
7
7
11
9
9
9
12
8
8
8
12
9
11
8
11
8
13
5
9
8
11
We need to find the confidence interval for the SHOE SIZE
variable. To do this, we need to find the mean and standard
deviation with the Week 1 spreadsheet. Then we can the Week 5
spreadsheet to find the confidence interval. This does...

Given the following data:
x
2
8
5
12
9
y
6
11
7
14
10
a) draw/graph a scatter plot.
b) by hand, find the correlation coefficient r.
c) by hand, find b0 and b1.
d) write the regression equation.

Consider the following data:
X
Y
1
13
3
10
5
9
5
5
6
3
Draw a Scatter Plot of the data.
Do you believe the correlation coefficient r will be
positive, negative or close to zero? Why
What is your estimate to the value of Y associated with X=4?

Use the sample space (5, 6, 7, 8, 9, 10, 11, 12, 13, 14) to find
the probability for a random selected
a) P(integer)
b) P(less than 10 | less than 13)
c) P(greater than 8 | less than 11)
d) P(greater than 7 | greater 12)

x
y
14
50
10
55
12
54
11
56
10
58
9
59
6
61
4
62
1.What is the slope?
2. What is the intercept?
3. Using the prediction of x=11 what are the residuals?
4. The sum of squared residuals is 12.038 calculate the standar
deviation of the regression
5. What is the test statistic?

Match No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Player A
8
42
56
68
91
123
12
46
57
137
5
80
14
10
19
Player B
38
44
46
59
57
61
48
42
51
39
58
41
55
45
68
1. For the given data set representing the runs scored by two
players in last 15 matches, conduct the following analysis:
i. Which average you will use to summarize...

Sample data: 10 8 7 13 12 9 11 7 13
- calculate the Mean, Variance, Standard Deviation, 25th
percentile, Median, and the 75th percentile.

5.) For the data set
2
4
4
5
7
8
9
10
12
12
13
13
16
16
16
16
17
19
19
20
23
24
24
24
25
26
26
27
28
28
29
31
32
34
34
36
37
38
42
44
45
46
47
47
48
50
52
53
53
54
55
56
56
57
58
(a) Find the 80th percentile.
The 80t percentile is =
(a) Find the 42nd percentile.
The 42nd percentile is...

Day
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Number of Aides Absent
5
8
11
15
4
2
7
1
4
6
14
19
3
5
8
In which of the following ranges you can find the Upper Control
Limit of the control chart?
0.1427
0.1536
0.1677
Not computable with information available
In which of the following ranges you can find the Lower Control
Limit of the control chart?
Does not exit...

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