Question
In: Statistics and Probability
Exercise 1 Is there a linear relationship between the age at which a child first begins...
|
Exercise 1 |
Is there a linear relationship between the age at which a child first begins to speak and the child’s later mental ability? A study was conducted in which the age (in months) at which a child spoke their first words and the score on an aptitude test as a teenager were recorded: PLEASE SHOW WORK
|
Age |
15 |
26 |
10 |
9 |
15 |
20 |
18 |
11 |
8 |
20 |
|
Score |
95 |
71 |
83 |
91 |
102 |
87 |
93 |
100 |
104 |
94 |
- State the null and alternative hypotheses and the level of significance you intend to use.
Ho: P=0
H1: P¹0
a=0.05
- Write the equation for the appropriate test statistic.
- What is your decision rule? Be sure to include the degrees of freedom, if appropriate.
DF=10-2=8
Reject the null hypothesis if r > 0.632 or r < -0.632
- Compute the test statistic by hand.
- What is your conclusion about the null hypothesis and the research question? Be sure to comment on the magnitude and direction of the association.
Solutions
orchestra answered 1 year agoRelated Solutions
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Age
32
24
52
21
34
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We are interested in studying the linear relationship between someone's age and how much they spend...
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850
39
997
43
993
50
649
59
1265
25
680
38
Find the correlation coefficient.
a.
0.6476
b.
0.4194
c.
-0.6476
d.
0.5806
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age...
We are interested in studying the linear relationship between someone's age and how much they spend...
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850
39
997
43
993
50
649
59
1265
25
680
38
Find beta1 (b1).
a.
-12.9056
b.
-0.0325
c.
12.9056
d.
3.5933
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850...
We are interested in studying the linear relationship between someone's age and how much they spend...
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850
39
997
43
993
50
649
59
1265
25
680
38
Find SST.
a.
667.33
b.
153,844.05
c.
264,991.33
d.
196.11
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850
39...
We are interested in studying the linear relationship between someone's age and how much they spend...
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someone's age and how much they spend on travel. The following data
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2.88 b. 5.67 c. 8.29 d. 7.59
We are interested in studying the linear relationship between someone's age and how much they spend...
We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data
is provided:
Amount Spent on Travel
Age
850
39
997
43
993
50
649
59
1265
25
680
38
Find the 99% confidence interval for b1.
a.
(-33.98, 8.17)
b.
(-47.86, 22.05)
c.
(-20.65, 2.58)
d.
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We are interested in studying the linear relationship between
someone's age and how much they spend on travel. The following data...
What is the difference between a linear relationship and a curvilinear relationship in linear regression?
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curvilinear relationship in linear regression?
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