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In a study of the legibility and visibility of highway signs, a Pennsylvania research the maximum distance at which each of thirty drivers could read a newly designed sign. The thirty participants in the study ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers, and wanted to determine if sign legibility distance changed with age. The correlation between age and distance is -0.8012.

In a study of the legibility and visibility of highway signs, a Pennsylvania research the maximum distance at which each of thirty drivers could read a newly designed sign. The thirty participants in the study ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers, and wanted to determine if sign legibility distance changed with age. The correlation between age and distance is -0.8012.

MATLAB: An Introduction with Applications
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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explained by the line. an is high, so we are comfortable for prediction Was this solution helpful? ים לו MacBook F3 F4 DI DO F6 F7 F8 F9 F10 11 F12 # $ & 3 4 7 8 9. %3D delete E T Y { } P [ enter K L return C V > 108 Additional summaries are given below. Obs 1 3. 30 Mean SD 20 22 82 51.000 21.776 Age Dist 510 18 590 560 360 423.33 81.720 (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the distance of sign legibility for a person who is 22. (f) Find the residual for the person aged 22. (g) Find and interpret the coefficient of determination. .. .. V * 00
Transcribed Image Text:explained by the line. an is high, so we are comfortable for prediction Was this solution helpful? ים לו MacBook F3 F4 DI DO F6 F7 F8 F9 F10 11 F12 # $ & 3 4 7 8 9. %3D delete E T Y { } P [ enter K L return C V > 108 Additional summaries are given below. Obs 1 3. 30 Mean SD 20 22 82 51.000 21.776 Age Dist 510 18 590 560 360 423.33 81.720 (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the distance of sign legibility for a person who is 22. (f) Find the residual for the person aged 22. (g) Find and interpret the coefficient of determination. .. .. V * 00
Diff 25 4 -4 12 -21 -10 -18 -21 54 46 31 38 -15 0-14 -31 In addition, a table of summary statistics is provided below. Mean SD Pts 56.6875 7.6657 0.9378 Diff 4.75 26.5393 (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. A calculator may be used to check the results if desired. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the standings points awarded for a differential of zero. (f) Find the residual for the team that had a differential of zero. (g) What proportion of variation in points awarded can be explained by the line? Based on this, are you comfortable using the line for prediction? Why or why not? 35. In a study of the legibility and visibility of highway signs, a Pennsylvania research firm determined the maximum distance at which each of thirty drivers could read a newly designed sign. The thirty participants in the study ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers, and wanted to determine if sign legibility distance changed with age. The correlation between age and distance is -0.8012.
Transcribed Image Text:Diff 25 4 -4 12 -21 -10 -18 -21 54 46 31 38 -15 0-14 -31 In addition, a table of summary statistics is provided below. Mean SD Pts 56.6875 7.6657 0.9378 Diff 4.75 26.5393 (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. A calculator may be used to check the results if desired. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the standings points awarded for a differential of zero. (f) Find the residual for the team that had a differential of zero. (g) What proportion of variation in points awarded can be explained by the line? Based on this, are you comfortable using the line for prediction? Why or why not? 35. In a study of the legibility and visibility of highway signs, a Pennsylvania research firm determined the maximum distance at which each of thirty drivers could read a newly designed sign. The thirty participants in the study ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers, and wanted to determine if sign legibility distance changed with age. The correlation between age and distance is -0.8012.
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