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

Shoe Sizes:
10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5,
7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7
Height in inches:
61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67,
63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6
Based on our sample data, is there any linear correlation
between our heights and...

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...

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...

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...

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...

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...

3. (a) Use the sample to make a point estimate of the mean
height of the entire female/male SCC student body.
(b) Construct a 93% confidence interval for the mean height of
the entire female/male SCC student body.
(c) What is the width of this interval?
(d) Write a sentence interpreting your confidence interval.
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...

Body frame size is determined by a person's wrist circumference
in relation to height. A researcher measures the wrist
circumference and height of a random sample of individuals. The
data is displayed below. 5 5.5 6 6.5 7 7.5 8 8.5 9 60 65 70 75 80
Wrist Circumference (in) Height (in) Coefficients: Estimate Std Err
t-value p-value (Intercept) 33.5375 4.4833 7.4806 4.78 E -8 wrist
5.1405 0.6361 8.0818 1.11 E -8 Residual standard error: 2.9252 on
27 degrees of...

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...

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