Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the findings. Estimate Std. Error t value P(>|t|) (Intercept) -0.0127 0.0126 -1.00 0.3320 beers 0.0180 0.0024 7.48 0.0000 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). weak,negative moderate/strong, negative moderate/strong, positive weak, positive Correct (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ˆy=y^= Incorrect ++ Incorrect xx The interpretation of the slope is: For each additional can of beer, BAC is expected to increase by about .018 For each additional can of beer, BAC is expected to increase by about .0127 For each additional can of beer, BAC is expected to decrease by about .0127 For each additional can of beer, BAC is expected to decrease by about .018 Correct (c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase in blood alcohol? State the null and alternative hypotheses, report the p-value, and state your conclusion. The hypotheses are: H0: Number of cans of beer drank is not a significant predictor of BAC Ha: Number of cans of beer drank is a significant predictor of BAC H0: The more beer drank, the higher someone's BAC Ha: The more cans of beer drank, the lower the BAC H0: Number of cans of beer drank is a significant predictor of BAC Ha: Number of cans of beer drank is not a significant predictor of BAC Correct The p-value for the test is: p≈p≈ Incorrect The result of this hypothesis test is: number of cans of beer drank is a significant predictor of BAC number of cans of beer drank is not a significant predictor of BAC the more cans of beer you drink, the higher your BAC Correct (d) The correlation coefficient for number of cans of beer and BAC is 0.89. Calculate R2R2 and interpret it in context. The value of R2R2 is Incorrect (please leave your answer as a decimal, and round to three places) The interpretation of the value above is: the proportion of variation in BAC that is explained by number of cans of beer consumed the percent of time that our model is accurate the proportion of alcohol in beer that contributes to BAC

Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the findings. Estimate Std. Error t value P(>|t|) (Intercept) -0.0127 0.0126 -1.00 0.3320 beers 0.0180 0.0024 7.48 0.0000 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). weak,negative moderate/strong, negative moderate/strong, positive weak, positive Correct (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ˆy=y^= Incorrect ++ Incorrect xx The interpretation of the slope is: For each additional can of beer, BAC is expected to increase by about .018 For each additional can of beer, BAC is expected to increase by about .0127 For each additional can of beer, BAC is expected to decrease by about .0127 For each additional can of beer, BAC is expected to decrease by about .018 Correct (c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase in blood alcohol? State the null and alternative hypotheses, report the p-value, and state your conclusion. The hypotheses are: H0: Number of cans of beer drank is not a significant predictor of BAC Ha: Number of cans of beer drank is a significant predictor of BAC H0: The more beer drank, the higher someone's BAC Ha: The more cans of beer drank, the lower the BAC H0: Number of cans of beer drank is a significant predictor of BAC Ha: Number of cans of beer drank is not a significant predictor of BAC Correct The p-value for the test is: p≈p≈ Incorrect The result of this hypothesis test is: number of cans of beer drank is a significant predictor of BAC number of cans of beer drank is not a significant predictor of BAC the more cans of beer you drink, the higher your BAC Correct (d) The correlation coefficient for number of cans of beer and BAC is 0.89. Calculate R2R2 and interpret it in context. The value of R2R2 is Incorrect (please leave your answer as a decimal, and round to three places) The interpretation of the value above is: the proportion of variation in BAC that is explained by number of cans of beer consumed the percent of time that our model is accurate the proportion of alcohol in beer that contributes to BAC

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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7.36 Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the findings.

	Estimate	Std. Error	t value	P(>\|t\|)
(Intercept)	-0.0127	0.0126	-1.00	0.3320
beers	0.0180	0.0024	7.48	0.0000

(a) Describe the relationship between the number of cans of beer (x) and BAC (y).

weak,negative
moderate/strong, negative
moderate/strong, positive
weak, positive

Correct

(b) Write the equation of the regression line. Interpret the slope and intercept in context.
The equation of the regression line is (please do not round):
ˆy=y^= Incorrect ++ Incorrect xx The interpretation of the slope is:

For each additional can of beer, BAC is expected to increase by about .018
For each additional can of beer, BAC is expected to increase by about .0127
For each additional can of beer, BAC is expected to decrease by about .0127
For each additional can of beer, BAC is expected to decrease by about .018

Correct

(c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase in blood alcohol? State the null and alternative hypotheses, report the p-value, and state your conclusion.
The hypotheses are:

H₀: Number of cans of beer drank is not a significant predictor of BAC
H_a: Number of cans of beer drank is a significant predictor of BAC
H₀: The more beer drank, the higher someone's BAC
H_a: The more cans of beer drank, the lower the BAC
H₀: Number of cans of beer drank is a significant predictor of BAC
H_a: Number of cans of beer drank is not a significant predictor of BAC

Correct

The p-value for the test is: p≈p≈ Incorrect
The result of this hypothesis test is:

number of cans of beer drank is a significant predictor of BAC
number of cans of beer drank is not a significant predictor of BAC
the more cans of beer you drink, the higher your BAC

Correct

(d) The correlation coefficient for number of cans of beer and BAC is 0.89. Calculate R2R2 and interpret it in context.
The value of R2R2 is Incorrect (please leave your answer as a decimal, and round to three places) The interpretation of the value above is:

the proportion of variation in BAC that is explained by number of cans of beer consumed
the percent of time that our model is accurate
the proportion of alcohol in beer that contributes to BAC

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