Acrylamide is a chemical that is sometimes found in cooked starchy foods and which is thought to increase the risk of certain kinds of cancer. The paper "A Statistical Regression Model for the Estimation of Acrylamide Concentrations in French Fries for Excess Lifetime Cancer Risk Assessment: describes a study to investigate the effect of frying time (in seconds) and acrylamide concentration (in micrograms per kilogram) in french fries. The data in the accompanying table are approximate values read from a graph that appeared in the paper. Frying lamide Time Acry Concentration 150 150 240 240 270 300 300 125 195 185 135 275 LAUSE SALT (a) Find the equation of the least-squares line for predicting acrylamide concentration using frying time. (Round your answers to four decimal places.) 9- |+(\ (b) Does the equation of the least-squares line support the conclusion that longer frying times tend to be paired with higher acrylamide concentrations? Explain. No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide concentrations. Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide concentrations. Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide concentrations. No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide concentrations. (c) What is the predicted acrylamide concentration (in micrograms per kilogram) for a frying time of 225 seconds? (Round your answer to three decimal places.) micrograms per kilogram equation to predict acrylamide concent 500 seconds? If n

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Acrylamide is a chemical that is sometimes found in cooked starchy foods and which is thought to increase the risk of certain kinds of cancer. The paper "A Statistical Regression Model for the Estimation of Acrylamide Concentrations in French Fries for Excess Lifetime Cancer Risk Assessment"+ describes a study to investigate the effect of frying time (in seconds) and acrylamide
concentration (in micrograms per kilogram) in french fries. The data in the accompanying table are approximate values read from a graph that appeared in the paper.
Frying Acrylamide
Time Concentration
150
240
240
270
300
300
150
125
+
195
185
135
275
USE SALT
(a) Find the equation of the least-squares line for predicting acrylamide concentration using frying time. (Round your answers to four decimal places.)
ŷ =
(b) Does the equation of the least-squares line support the conclusion that longer frying times tend to be paired with higher acrylamide concentrations? Explain.
O No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide
concentrations.
O Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide
concentrations.
Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide concentrations.
O No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide
concentrations.
(c) What is the predicted acrylamide concentration (in micrograms per kilogram) for a frying time of 225 seconds? (Round your answer to three decimal places.)
micrograms per kilogram
(d) Would you use the least squares regression equation to predict acrylamide concentration for a frying time of 500 seconds? If so, what is the concentration?
O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 177.50 micrograms per kilogram.
O It is not advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The regression line is undefined at this value.
It is not advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The data set that was used to create the least squares regression line was based on frying times that vary between 150 and 300 seconds; the value 500 seconds is far outside that range of values. There is no guarantee that the observed
trend will continue as far as 500 seconds.
O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 235.19 micrograms per kilogram.
O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 273.65 micrograms per kilogram.
Transcribed Image Text:Acrylamide is a chemical that is sometimes found in cooked starchy foods and which is thought to increase the risk of certain kinds of cancer. The paper "A Statistical Regression Model for the Estimation of Acrylamide Concentrations in French Fries for Excess Lifetime Cancer Risk Assessment"+ describes a study to investigate the effect of frying time (in seconds) and acrylamide concentration (in micrograms per kilogram) in french fries. The data in the accompanying table are approximate values read from a graph that appeared in the paper. Frying Acrylamide Time Concentration 150 240 240 270 300 300 150 125 + 195 185 135 275 USE SALT (a) Find the equation of the least-squares line for predicting acrylamide concentration using frying time. (Round your answers to four decimal places.) ŷ = (b) Does the equation of the least-squares line support the conclusion that longer frying times tend to be paired with higher acrylamide concentrations? Explain. O No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide concentrations. O Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide concentrations. Yes, the least squares regression line equation does support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is positive, which indicates that longer frying times tend to result in higher acrylamide concentrations. O No, the least squares regression line equation does not support the researcher's conclusion that higher frying times tend to be paired with higher acrylamide concentrations. The association between acrylamide concentration and frying time is negative, which indicates that longer frying times tend to result in higher acrylamide concentrations. (c) What is the predicted acrylamide concentration (in micrograms per kilogram) for a frying time of 225 seconds? (Round your answer to three decimal places.) micrograms per kilogram (d) Would you use the least squares regression equation to predict acrylamide concentration for a frying time of 500 seconds? If so, what is the concentration? O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 177.50 micrograms per kilogram. O It is not advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The regression line is undefined at this value. It is not advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The data set that was used to create the least squares regression line was based on frying times that vary between 150 and 300 seconds; the value 500 seconds is far outside that range of values. There is no guarantee that the observed trend will continue as far as 500 seconds. O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 235.19 micrograms per kilogram. O It is advisable to use the least squares regression equation to predict the acrylamide concentration for a frying time of 500 seconds. The predicted acrylamide concentration is 273.65 micrograms per kilogram.
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