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(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
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
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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: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.]
(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:
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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