ers correlate? Here are data on the heights (1H IIICIC3) UI Brother 71 68 66 67 70 71 70 73 72 65 66 Sister 69 64 65 63 65 62 65 64 66 59 62 (a) Use your calculator or software to find the correlation and the equation of the least-squares line for predicting sister's height from brother's height. Make a scatterplot of the data and add the regression line to your plot. (b) Damien is 70 inches tall. Predict the height of his sister Tonya. Based on the scatterplot and the correlation r, do you expect your prediction to be very ac- curate? Why?

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5.34 Please complete both parts. Do Part (a) "by hand": the mean height of the brothers is 69 inches and the standard deviation is 2.72 inches, the mean height of the sisters is 64 inches and the standard deviation is 2.57 inches, and the correlation is 0.558. Draw the scatterplot by hand. The regression line can be approximate

in grade index among the students. What is the numer
between percent of classes attended and grade index?
their classes earne
ation
5.34 Sisters and brothers. How strongly do physical characteristics of sisters and brosh
ers correlate? Here are data on the heights (in inches) of 11 adult pairs:12
70
73 72
65
66
Brother 71
68 66 67 70 71
65
62
65
64
66
59
62
Sister
69 64 65 63
(a) Use your calculator or software to find the correlation and the equation of the
least-squares line for predicting sister's height from brother's height. Make a
scatterplot of the data and add the regression line to your plot.
(b) Damien is 70 inches tall. Predict the height of his sister Tonya. Based on the
scatterplot and the correlation r, do you expect your prediction to be very ac-
curate? Why?
5.35 Keeping water clean. Keeping water supplies clean requires regular measurement
of levels of pollutants. The measurements are indirect-a typical analysis involves
forming a dye by a chemical reaction with the dissolved pollutant, then passing
light through the solution and measuring its "absorbence." To calibrate such mea-
Transcribed Image Text:in grade index among the students. What is the numer between percent of classes attended and grade index? their classes earne ation 5.34 Sisters and brothers. How strongly do physical characteristics of sisters and brosh ers correlate? Here are data on the heights (in inches) of 11 adult pairs:12 70 73 72 65 66 Brother 71 68 66 67 70 71 65 62 65 64 66 59 62 Sister 69 64 65 63 (a) Use your calculator or software to find the correlation and the equation of the least-squares line for predicting sister's height from brother's height. Make a scatterplot of the data and add the regression line to your plot. (b) Damien is 70 inches tall. Predict the height of his sister Tonya. Based on the scatterplot and the correlation r, do you expect your prediction to be very ac- curate? Why? 5.35 Keeping water clean. Keeping water supplies clean requires regular measurement of levels of pollutants. The measurements are indirect-a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its "absorbence." To calibrate such mea-
Expert Solution
Step 1

Let

Y denote height of brother

X denote height of sister.

We have to calculate line of regression and correlation coefficient. 

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