(1) Give the regression equation (using the variables y and t, reporting slope and intercept accurate to at least three decimal places). (2) Find the 95% confidence interval for the true slope: B1 € (report accurate to at least three decimal places using interval notation) (3) Find the correlation coefficient for this data: r = Find the P-value testing the null hypothesis that the correlation is zero: p = (report each value accurate to at least three decimal places) (4) Using this information, predict the wavelength for green in year 1876:
(1) Give the regression equation (using the variables y and t, reporting slope and intercept accurate to at least three decimal places). (2) Find the 95% confidence interval for the true slope: B1 € (report accurate to at least three decimal places using interval notation) (3) Find the correlation coefficient for this data: r = Find the P-value testing the null hypothesis that the correlation is zero: p = (report each value accurate to at least three decimal places) (4) Using this information, predict the wavelength for green in year 1876:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
Related questions
Question
![This data is modeled on Stevens (1966), citing Dimmick and Hubbard (1939), which reported data from 20
studies of the color perception of unitary hues. The wavelength (in millimeters) of light called "green" by
subjects in each experiment is given in the following table, along with the year the study was conducted.
Wavelength
Study
Date
1
508
1913
509
1910
3
507
1896
4
533
1874
504
1897
6.
507
1932
7
503
1909
8
531
1937
9
513
1927
10
513
1916
11
527
1932
12
527
1893
13
505
1922
14
498
1927
15
534
1883
16
514
1939
17
518
1913
18
500
1925
19
512
1935
20
496
1888
These data suggest the question ¿is there any linear trend over time in the wavelength of light called
"green"? Evaluate this question by finding the least-squares estimated of the straight-line regression function
for predicting wavelength from year. For this analysis, y is the wavelength less 500, and t is the years after
1900. [Hint: This will require some minor data transformation.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f98e9ba-57ad-4e54-87fe-55e132738bc3%2F7f6ecc2d-df0e-474f-b77e-3484b7c4209a%2Fx200hfo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This data is modeled on Stevens (1966), citing Dimmick and Hubbard (1939), which reported data from 20
studies of the color perception of unitary hues. The wavelength (in millimeters) of light called "green" by
subjects in each experiment is given in the following table, along with the year the study was conducted.
Wavelength
Study
Date
1
508
1913
509
1910
3
507
1896
4
533
1874
504
1897
6.
507
1932
7
503
1909
8
531
1937
9
513
1927
10
513
1916
11
527
1932
12
527
1893
13
505
1922
14
498
1927
15
534
1883
16
514
1939
17
518
1913
18
500
1925
19
512
1935
20
496
1888
These data suggest the question ¿is there any linear trend over time in the wavelength of light called
"green"? Evaluate this question by finding the least-squares estimated of the straight-line regression function
for predicting wavelength from year. For this analysis, y is the wavelength less 500, and t is the years after
1900. [Hint: This will require some minor data transformation.]
Transcribed Image Text:(1) Give the regression equation (using the variables y and t, reporting slope and intercept accurate to at
least three decimal places).
(2) Find the 95% confidence interval for the true slope:
B1 E
(report accurate to at least three decimal places using interval notation)
(3) Find the correlation coefficient for this data: r =
Find the P-value testing the null hypothesis that the correlation is zero: p =
(report each value accurate to at least three decimal places)
(4) Using this information, predict the wavelength for green in year 1876:
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