Question

Use the classroom dataset. A researcher wants to be able to use shoe size to predict height.

Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5, 11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6

Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65, 72, 64, 65, 66, 61, 67, 64, 65, 60, 64

A) what variable is the response variable and which is the predictor variable?

B) Create a scatterplot of the data

C) calculate the correlation coefficient, r. Describe the relation that appear to exist between shoe size and height.

D) Perform a hypothesis test using the Table ll to make a conclusion about the correlation coefficient. Is there evidence to conclude that there is a significant linear correlation between shoe size and height?

1) Set up the null and alternative hypothesis

2) Determine the critical value.

3) What is your conclusion/interpretation

E) Find the least-squares regression equation for this data.

Answer #1

I used R software to solve this problem.

R code

Scatter plot

How strongly do physical characteristics of sisters and brothers
correlate? Here are data on the heights (in inches) of 12 adult
pairs:
Brother 71 68 66 67 70 71 70 73 72 65 66 70
Sister 69 64 65 63 65 62 65 64 66 59 62 64
a. Use your calculator or software to find the correlation and
the equation of the least-squares line for predicting sister’s
height from brother’s height. Make a scatterplot of the data, and
add...

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20 R
6 F 66 9 29 R
7 F 62 9.5 30 L
8 F 63 8.5 18 R
9 F 60 5 19 L
10 F 63 7.5 42 R
11 F 61 7 20 R
12 F 64 7.5 17 R
13...

Data Set
Height
Weight
Age
Shoe Size
Waist Size
Pocket Change
64
180
39
7
36
18
66
140
31
9
30
125
69
130
31
9
25
151
63
125
36
7
25
11
68
155
24
8
31
151
62
129
42
6
32
214
63
173
30
8
34
138
60
102
26
6
25
67
66
180
33
8
30
285
66
130
31
9
30
50
63
125
32
8
26
32
68
145
33...

Let's say that we are interested in the relationship between
shoe size and height. Let's say we have the following data. What is
the regression equation between these two variables? X (Shoe Size
in inches): 13 12.5 11 11.5 12 11 13 14 13 9 8 Y (Height in
inches): 68 69 70 67.4 69 73 74 71 70.5 64 67.
Answers:
y = -.89931x - 58.88982
y = .89931x + 58.88982
y = 58.88982x +.89931
y = .89931x -...

Using the class sample data, analyze the student heights by
completing the following. Please note the following directions.
The data below was collected from a group of 45 female students
last semester. You will use this data throughout the semester on
your lab assignments.
Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20...

Perform a Spearman Rank Correlation Coefficient Test at a
significance of 0.05. Use the following data points
Height (in.)
Foot Length (in.)
63
10
66
12
62.5
9.4
74
10.5
70
11.3
72
11.3
71
12.5
64
9.1
72
10.9
71
10
74
12.1
67
10
69
11.1
65
9.6
62.8
9
72
11.3
68.8
10.5
69
10
65.3
9
53
7
71
10.3
74
11.7
70
10
72
10.6
72.5
12.8
67
9.5
69
10.9
74
11.6
68
9...

In this assignment, you will learn to enter data in SPSS and to
conduct simple correlational statistical analyses. You may need to
use skills learned in previous assignments, lessons in the book,
and/or other resources. For example, a description of how to enter
data into SPSS is included in the exercises in Chapter 1.
A consumer psychologist wants to know if shoe size and weight
are correlated in female adults. She measures the shoe size and
asks the weight of...

Wal-Mart Stores, Inc., and Payless ShoeSource, Inc., have been
aggressive in stocking larger size women shoes and Nordstrom
reports that its larger sizes typically sell out first. The
following is a random sample of shoe sizes for twelve mothers and
their daughters who shop at Nordstrom. Does the data support the
Management assertion that the demand for larger show sizes has
increased. Use 0.025 significance level.
1
2
3
4
5
6
7
8
9
10
11
12
Daughter
8...

2. Wal-Mart Stores, Inc., and Payless ShoeSource, Inc., have
been aggressive in stocking larger size women shoes and Nordstrom
reports that its larger sizes typically sell out first. The
following is a random sample of shoe sizes for twelve mothers and
their daughters who shop at Nordstrom. Does the data support the
Management assertion that the demand for larger show sizes has
increased. Use 0.025 significance level.
1
2
3
4
5
6
7
8
9
10
11
12
Daughter...

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