Use the following for questions 3-5. A statistically-minded English teacher wonders if she can predict the random sample of 13 student papers (all produced by the same word-process students submit on the basis of how large the computer files for the essays ar and compares file size (in kilobytes or KB) to the word count for each. A co regression analysis of her data is given below. Assume all conditions for inf have been met. Predictor Constant File Size Coef -1450.3 76.50 SE Coef T 773.4 -1.88 28.60 2.67 P 0.088 0.0227

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Use the following for questions 3-5.
A statistically-minded English teacher wonders if she can predict the lengths of essays that her
random sample of 13 student papers (all produced by the same word-processing software)
students submit on the basis of how large the computer files for the essays are. She selects a
regression analysis of her data is given below. Assume all conditions for inference for slope
and compares file size (in kilobytes or KB) to the word count for each. A computer
have been met.
Predictor
Constant
File Size
Terence for Qua
S
Coef
SE Coef
-1450.3
76.50
773.4
28.60
145.851 R-Sq= 39.4%
T
P
0.088
-1.88
2.67 0.0227
R-Sq (adj)
33.9%
linear regres
+- test
Transcribed Image Text:Use the following for questions 3-5. A statistically-minded English teacher wonders if she can predict the lengths of essays that her random sample of 13 student papers (all produced by the same word-processing software) students submit on the basis of how large the computer files for the essays are. She selects a regression analysis of her data is given below. Assume all conditions for inference for slope and compares file size (in kilobytes or KB) to the word count for each. A computer have been met. Predictor Constant File Size Terence for Qua S Coef SE Coef -1450.3 76.50 773.4 28.60 145.851 R-Sq= 39.4% T P 0.088 -1.88 2.67 0.0227 R-Sq (adj) 33.9% linear regres +- test
5. If the teacher uses these data to test the hypotheses Ho: ß = 0 versus Ha: ß = 0 at the a =
0.05 level, which of the following is an appropriate conclusion?
we want to reject the Ho, thuctore not b
ze
(a) Since the P-value of 0.022 is less than a, reject H. We have convincing evidence that
there is a linear relationship between file size and word count.
(b) Since the P-value of 0.022 is less than a fail to reject H. We do not have convincing
evidence that there is a linear relationship between file size and word count.
file) Since the P-value of 0.088 is greater than a, fail to reject H. We do not have convincing
evidence that there is a linear relationship between file size and word count.
Since the P-value of 0.088 is greater than a, accept H. We have convincing evidence
that the regression line relating word count to file size has a slope of 0.
Since the value of 0.088 is greater than a, reject H. We have convincing evidence that
there is a linear relationship between file size and word count.
دکھا
Transcribed Image Text:5. If the teacher uses these data to test the hypotheses Ho: ß = 0 versus Ha: ß = 0 at the a = 0.05 level, which of the following is an appropriate conclusion? we want to reject the Ho, thuctore not b ze (a) Since the P-value of 0.022 is less than a, reject H. We have convincing evidence that there is a linear relationship between file size and word count. (b) Since the P-value of 0.022 is less than a fail to reject H. We do not have convincing evidence that there is a linear relationship between file size and word count. file) Since the P-value of 0.088 is greater than a, fail to reject H. We do not have convincing evidence that there is a linear relationship between file size and word count. Since the P-value of 0.088 is greater than a, accept H. We have convincing evidence that the regression line relating word count to file size has a slope of 0. Since the value of 0.088 is greater than a, reject H. We have convincing evidence that there is a linear relationship between file size and word count. دکھا
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