Continuing with the data from problem 9, are study time and exam score negatively linearly correlated at the 1% significance level? Find the linear correlation coefficient, and perform the hypothesis test for a negative population linear correlation coefficient p. The hypotheses are: H0. ρ-0 H. ρ0 Your answer must include: a) The linear correlation coefficient r. b) The critical value of the test. c) The value of the test statistic, and d) a statement of conclusion.
Continuing with the data from problem 9, are study time and exam score negatively linearly correlated at the 1% significance level? Find the linear correlation coefficient, and perform the hypothesis test for a negative population linear correlation coefficient p. The hypotheses are: H0. ρ-0 H. ρ0 Your answer must include: a) The linear correlation coefficient r. b) The critical value of the test. c) The value of the test statistic, and d) a statement of conclusion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The first image is used for context. The second image needs to be solved. Thanks
Transcribed Image Text:9. 4)Mean X =? = -14.625
Mean ý = EY = 660= 82.5
A math professor selects 8 students at random from her calculus class and asks them to record
their study times. After two weeks, she gives an exam. the number of hours, x, of study time and
the test score, y, yield the following sample data summary:
> x = 117
E y = 660
n = 8
néメワー(をx)(いッ)
néxー(をx)
Nowi
E x2 = 1869
E y? = 54638
E xy = 9519
: byx =
The professor is a bit surprised.
byx =(8.90
a) Find the equation of the regression line.
9519-117.660)
b) Use the regression line to predict the score of a student who studies for 20 hours over the two
weeks.
8.1869-172
ニ-l068
1263
= -0.8456.
Now,
ソーラ= by× (x-ヌ)
ソ-82.5 = -0.8456 (x- l4.62s)
ソ-82.5 - -0.3uS6xt1z.367
y - -0.8us6Gx +12.367782.5
=-0.8456X tay.867
b) Given
メ=20
Now,
Y--0.3456×てo tqy.86>
--16.912) tqu.867
- 77. 95u9
Transcribed Image Text:Continuing with the data from problem 9, are study time and exam score negatively linearly
correlated at the 1% significance level?
Find the linear correlation coefficient, and perform the hypothesis test for a negative population
linear correlation coefficient p. The hypotheses are:
Ho.
p = 0
Ha.
p < 0
Your answer must include:
a) The linear correlation coefficient r.
b) The critical value of the test.
c) The value of the test statistic, and
d) a statement of conclusion.
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