ŷ = Hematologic data for patients with aplastic anemia Patient number % Reticulocytes Lymphocytes (per mm²) 2 1 3 H₁: 4 5 6 8 9 3.6 2.0 0.3 0.3 0.2 3.0 0.0 1.0 2.2 1,720 3,068 1,840 2,716 2,066 2,289 656 2,108 (a) Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y). (Round your numerical values to four decimal places.) 2,033 (b) What is R2 for the regression line in (a)? (Round your answer to four decimal places.) (c) What does R2 mean in (b)? OR2 indicates the proportion of variation of the percentage of reticulocytes that is explained by lymphocyte OR2 indicates the proportion of variation in lymphocyte count that is explained by the percentage of reticulocytes. (d) Test for the statistical significance of the regression line using the t test. (Use a = 0.05.) State the null and alternative hypotheses. (Enter != for # as needed.) Ho: Calculate the test statistic. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = What can you conclude?
ŷ = Hematologic data for patients with aplastic anemia Patient number % Reticulocytes Lymphocytes (per mm²) 2 1 3 H₁: 4 5 6 8 9 3.6 2.0 0.3 0.3 0.2 3.0 0.0 1.0 2.2 1,720 3,068 1,840 2,716 2,066 2,289 656 2,108 (a) Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y). (Round your numerical values to four decimal places.) 2,033 (b) What is R2 for the regression line in (a)? (Round your answer to four decimal places.) (c) What does R2 mean in (b)? OR2 indicates the proportion of variation of the percentage of reticulocytes that is explained by lymphocyte OR2 indicates the proportion of variation in lymphocyte count that is explained by the percentage of reticulocytes. (d) Test for the statistical significance of the regression line using the t test. (Use a = 0.05.) State the null and alternative hypotheses. (Enter != for # as needed.) Ho: Calculate the test statistic. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = What can you conclude?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![ŷ =
Hematologic data for patients with aplastic anemia
Patient number % Reticulocytes Lymphocytes (per mm²)
1
2
3
H₁:
4
5
6
7
8
9
3.6
2.0
0.3
0.3
0.2
3.0
0.0
1.0
enia.
2.2
1,720
3,068
1,840
2,716
2,066
2,289
656
2,108
(a) Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y). (Round your
numerical values to four decimal places.)
2,033
(b) What is R2 for the regression line in (a)? (Round your answer to four decimal places.)
(c) What does R2 mean in (b)?
OR2 indicates the proportion of variation of the percentage of reticulocytes that is explained by lymphocyte
OR2 indicates the proportion of variation in lymphocyte count that is explained by the percentage of
reticulocytes.
(d) Test for the statistical significance of the regression line using the t test. (Use a = 0.05.)
State the null and alternative hypotheses. (Enter != for as needed.)
Ho
Calculate the test statistic. (Round your answer to two decimal places.)
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
What can you conclude?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e02f2d-b0b4-40f2-b59c-ee2919cc5490%2F5e725c3b-ff9e-43aa-8d60-77fe23fd93c1%2Fuii6ytq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ŷ =
Hematologic data for patients with aplastic anemia
Patient number % Reticulocytes Lymphocytes (per mm²)
1
2
3
H₁:
4
5
6
7
8
9
3.6
2.0
0.3
0.3
0.2
3.0
0.0
1.0
enia.
2.2
1,720
3,068
1,840
2,716
2,066
2,289
656
2,108
(a) Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y). (Round your
numerical values to four decimal places.)
2,033
(b) What is R2 for the regression line in (a)? (Round your answer to four decimal places.)
(c) What does R2 mean in (b)?
OR2 indicates the proportion of variation of the percentage of reticulocytes that is explained by lymphocyte
OR2 indicates the proportion of variation in lymphocyte count that is explained by the percentage of
reticulocytes.
(d) Test for the statistical significance of the regression line using the t test. (Use a = 0.05.)
State the null and alternative hypotheses. (Enter != for as needed.)
Ho
Calculate the test statistic. (Round your answer to two decimal places.)
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
What can you conclude?
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