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The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x. 40 130 155 160 260 |275 | 325 370 | 420 | 480 2.5 3.0 3.1 3.3 3.7 4.1 4.3 4.8 5.0 5.4 1. Construct a scatter plot of the data. Does it support the use of the simple linear regression model? Explain. 2. Calculate B, and ß, (the point estimates of the slope and intercept of the regression line), and write down the estimated regression line equation of Y on X. ( 3. Calculate a point estimate of the standard deviation o of Y, then calculate and interpret the coefficient of determination r2.

The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x. 40 130 155 160 260 |275 | 325 370 | 420 | 480 2.5 3.0 3.1 3.3 3.7 4.1 4.3 4.8 5.0 5.4 1. Construct a scatter plot of the data. Does it support the use of the simple linear regression model? Explain. 2. Calculate B, and ß, (the point estimates of the slope and intercept of the regression line), and write down the estimated regression line equation of Y on X. ( 3. Calculate a point estimate of the standard deviation o of Y, then calculate and interpret the coefficient of determination r2.

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
Section10.1: Measures Of Center
Problem 9PPS
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The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x. 155 160 260 275 325 370 420 3.1 3.3 3.7 40 130 480 2.5 3.0 4.1 4.3 4.8 5.0 5.4 1. Construct a scatter plot of the data. Does it support the use of the simple linear regression model? Explain. 2. Calculate B, and Bo (the point estimates of the slope and intercept of the regression line), and write down the estimated regression line equation of Y on X. ( 3. Calculate a point estimate of the standard deviation o of Y, then calculate and interpret the coefficient of determination r2.
Transcribed Image Text:The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x. 155 160 260 275 325 370 420 3.1 3.3 3.7 40 130 480 2.5 3.0 4.1 4.3 4.8 5.0 5.4 1. Construct a scatter plot of the data. Does it support the use of the simple linear regression model? Explain. 2. Calculate B, and Bo (the point estimates of the slope and intercept of the regression line), and write down the estimated regression line equation of Y on X. ( 3. Calculate a point estimate of the standard deviation o of Y, then calculate and interpret the coefficient of determination r2.
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