Murders and poverty, Part I. The following regression output is for predicting annual murders per on from percentage living in poverty in a random sample of 20 metropolitan areas. 40

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IC Lab 4.
IC Sakai
IC lab2.p hw x IC Sakai
V Regre
(50)
A docs.google.com/document/d/110Qq_FLU¡MM88VE_U06G2K...
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CI D 2
Andres L
8.24 Body measurements, Part II. Exercise 8.13 introduces data on shoulder girth and height of a group
of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 em. The mean
height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth
is 0.67.
(a) Write the equation of the regression line for predicting height.
(b) Interpret the slope and the intercept in this context.
(c) Calculate R² of the regression line for predicting height from shoulder girth, and interpret it in the
context of the application.
(d) A randomly selected student from your class has a shoulder girth of 100 cm. Predict the height of this
student using the model.
(e) The student from part (d) is 160 cm tall. Calculate the residual, and explain what this residual means.
(E) A one year old has a shoulder girth of 56 cm. Would it be appropriate to use this linear model to predict
the height of this child?
8.24(a)y=107.20x+171.14
8.25 Murders and poverty, Part I. The following regression output is for predicting annual murders per
million from percentage living in poverty in a random sample of 20 metropolitan areas.
40
Estimate
-29.901
2.559
R-70.52%
Std. Error
7.789
t value Pr(>)
(Intercept)
poverty%
=5.512
-3.839
6.562
0.001
0.000
0.390
= 68.89%
(a) Write out the linear model.
(b) Interpret the intercept.
(c) Interpret the slope.
(d) Interpret R.
(e) Calculate the correlation coefficient.
20-
10
14%
18%
22%
Percent in Poverty
26%
Annual Murders per Million
Transcribed Image Text:File Edit View History Bookmarks People Tab Window Help Busine IC Lab 4. IC Sakai IC lab2.p hw x IC Sakai V Regre (50) A docs.google.com/document/d/110Qq_FLU¡MM88VE_U06G2K... BETA ats O O t View Insert Format Tools Add-ons Help Last edit was 4 minutes ago 100% Normal text Arial + BIUA 11 CI D 2 Andres L 8.24 Body measurements, Part II. Exercise 8.13 introduces data on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 em. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. (a) Write the equation of the regression line for predicting height. (b) Interpret the slope and the intercept in this context. (c) Calculate R² of the regression line for predicting height from shoulder girth, and interpret it in the context of the application. (d) A randomly selected student from your class has a shoulder girth of 100 cm. Predict the height of this student using the model. (e) The student from part (d) is 160 cm tall. Calculate the residual, and explain what this residual means. (E) A one year old has a shoulder girth of 56 cm. Would it be appropriate to use this linear model to predict the height of this child? 8.24(a)y=107.20x+171.14 8.25 Murders and poverty, Part I. The following regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas. 40 Estimate -29.901 2.559 R-70.52% Std. Error 7.789 t value Pr(>) (Intercept) poverty% =5.512 -3.839 6.562 0.001 0.000 0.390 = 68.89% (a) Write out the linear model. (b) Interpret the intercept. (c) Interpret the slope. (d) Interpret R. (e) Calculate the correlation coefficient. 20- 10 14% 18% 22% Percent in Poverty 26% Annual Murders per Million
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