Question

Applicants for a job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x) and their score on the test (y). Conduct a formal hypothesis test to test for a linear correlation between the number of years a person has studied Spanish and their score on the test. Use a 0.05 significance level.

x | 3 | 4 | 4 | 2 | 5 | 3 | 4 | 5 | 3 | 2 |

y | 57 | 78 | 72 | 58 | 89 | 63 | 73 | 84 | 75 | 48 |

Does there appear to be a linear correlation between the number of years a person has studied Spanish and their score on the test?

Answer #1

We use t test to test for the linear correlation between the variables x and y.

Applicants for a job, which involves extensive travel in Spanish
speaking countries, must take a proficiency test in Spanish. The
sample data below were obtained in a study of the relationship
between the numbers of years applicants have studied Spanish (x)
and their score on the test (y). Conduct a formal hypothesis test
to test for a linear correlation between the number of years a
person has studied Spanish and their score on the test. Use a 0.05
significance level....

Applicants for a job, which involves extensive travel in Spanish
speaking countries, must take a proficiency test in Spanish. The
sample data below were obtained in a study of the relationship
between the numbers of years applicants have studied Spanish (x)
and their score on the test (y).
x
3
4
4
2
5
3
4
5
3
2
y
57
78
72
58
89
63
73
84
75
48
Predict the test score of a person who has studied...

Applicants for a job, which involves extensive travel in Spanish
speaking countries, must take a proficiency test in Spanish. The
sample data below were obtained in a study of the relationship
between the numbers of years applicants have studied Spanish (x)
and their score on the test (y).
x
3
4
4
2
5
3
4
5
3
2
y
57
78
72
58
89
63
73
84
75
48
Give the equation of the regression line. Round coefficients to...

Applicants for a job, which involves extensive travel in Spanish
speaking countries, must take a proficiency test in Spanish. The
sample data below were obtained in a study of the relationship
between the numbers of years applicants have studied Spanish (x)
and their score on the test (y).
x
3
4
4
2
5
3
4
5
3
2
y
57
78
72
58
89
63
73
84
75
48
Would it make sense to use the regression line to...

Applicants for a particular job, which involves extensive travel
in Spanish speaking countries, must take a
proficiency test in Spanish. The sample data below were obtained in
a study of the relationship between the
numbers of years applicants have studied Spanish (x) and their
score on the test (y).
x 3 2 4 4 4 3 4 5 3 2
y 57 74 72 58 71 63 73 78 75 53
At the 5% significance level, predict the proficiency score...

Applicants for a particular job, which involves extensive
travel in Spanish-speaking countries, must take a proficiency test
in Spanish. The sample data were obtained in a study of the
relationship between the numbers of years (x) applicants have
studied Spanish and their score (y) on the test. Use the analysis
to find a 99% confidence interval for the true slope.
The regression equation is
ModifyingAbove y with caretyequals=31.53333plus+10.90476x,
with
R-sqequals=83.0%,
and
10minus−2equals=8
degrees of freedom.
Predictor
Coef
SE(Coef)
T
P...

In order for applicants to work for the foreign-service
department, they must take a test in the language of the country
where they plan to work. The data below show the relationship
between the number of years that applicants have studied a
particular language and the grades they received on the proficiency
exam.
Number of Years (X) 3 4 4 5 3 6 2 7 3
Grades on Test (Y) 61 68 75 82 73 90 58 93 72
What...

A collection of paired data consists of the number of
years that students have studied Spanish and their scores on a
Spanish language proficiency test. A computer program was used to
obtain the least squares linear regression line and the computer
output is shown below. Along with the paired sample data, the
program was also given an x value of 2 (years of study) to be used
for predicting test score.
Equation: y = mx +
b
Statistics:
r2 =...

The number of hours10 students spent studying for a test and
their scores on that test are shown below. Is there enough
evidenceto conclude that there is a significant linear correlation
between the data. Use alpha=0.05
hours, x: 0 1 2 3 4 5 6 7 8 Test score, Y: 35 42 51 57 63 70 76
78 82 93 Setup the hypothesis for the test? identify the critical
value(s) calculate the test statistic? what is your conclusion?

According to the U.S. Geological Survey (USGS), the
probability of a magnitude 6.7 or greater earthquake in the Greater
Bay Area is 63%, about 2 out of 3, in the next 30 years. In April
2008, scientists and engineers released a new earthquake forecast
for the State of California called the Uniform California
Earthquake Rupture Forecast (UCERF).
As a junior analyst at the USGS, you are tasked to determine
whether there is sufficient evidence to support the claim of a...

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