A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters. Mean width: 7.618 Stdev width: 0.885 Mean height: Stdev height: Correlation coefficient: 0.8459 15.315 1.998 a) The students are interested in using the width of the beans to predict the height. Calculate the slope of the regression equation. 1.9 b) Write the equation of the best-fit line that can be used to predict bean heights. Use x to represent width and y to represent height. y = .7669+1.9097x c) What fraction of the variability in bean heights can be explained by the linear model of bean height vs width? Express your answer as a decimal. d) If, instead, the students are interested in using the height of the beans to predict the width, calculate the slope of this new regression equation. e) Write the equation of the best-fit line that can be used to predict bean widths. Use x to represent height and y to represent width.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A group of students measure the length and width of a random sample of beans. They are interested in
investigating the relationship between the length and width. Their summary statistics are displayed in the
table below. All units, if applicable, are millimeters.
Mean width:
7.618
Stdev width:
0.885
Mean height:
Stdev height:
15.315
1.998
Correlation coefficient: 0.8459
a) The students are interested in using the width of the beans to predict the height. Calculate the slope of
the regression equation. 1.9
b) Write the equation of the best-fit line that can be used to predict bean heights. Use x to represent
width and y to represent height. y=.7669 +1.9097
c) What fraction of the variability in bean heights can be explained by the linear model of bean height vs
width? Express your answer as a decimal.
d) If, instead, the students are interested in using the height of the beans to predict the width, calculate
the slope of this new regression equation.
e) Write the equation of the best-fit line that can be used to predict bean widths. Use x to represent
height and y to represent width.
Quection Holo
Transcribed Image Text:A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters. Mean width: 7.618 Stdev width: 0.885 Mean height: Stdev height: 15.315 1.998 Correlation coefficient: 0.8459 a) The students are interested in using the width of the beans to predict the height. Calculate the slope of the regression equation. 1.9 b) Write the equation of the best-fit line that can be used to predict bean heights. Use x to represent width and y to represent height. y=.7669 +1.9097 c) What fraction of the variability in bean heights can be explained by the linear model of bean height vs width? Express your answer as a decimal. d) If, instead, the students are interested in using the height of the beans to predict the width, calculate the slope of this new regression equation. e) Write the equation of the best-fit line that can be used to predict bean widths. Use x to represent height and y to represent width. Quection Holo
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