3 The heights in metres (x) and weights in kilograms (y) of ten male gorillas are shown in the table. 1.9 1.83 1.81 1.79 1.74 1.91 1.93 1.86 1.81 1.95 y 275 267 260 257 258 272 273 268 261 273 a Calculate the value of r. Comment on the correlation. b Write down the equation of the least squares regression line for this data. CFind the mean height for this group of male gorillas. d Find the mean weight for this group of male gorillas. e Plot the data points on a scatter diagram together with the regression line of y on x, clearly marking and labelling the mean point.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 1CYU
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MODELLING RELATIONSHIPS: LINEAR
3 The heights in metres (x) and weights in
kilograms (y) of ten male gorillas are shown
in the table.
1.9
1.83 1.81
1.79 1.74 1.91 1.93 1.86 1.81 1.95
275 267
260
258 272 273 268 261 273
a Calculate the value of r. Comment on
the correlation.
b Write down the equation of the least
squares regression line for this data.
CF ind the mean height for this group of
male gorillas.
d Find the mean weight for this group of
male gorillas.
e Plot the data points on a scatter
diagram together with the regression
line of y on x, clearly marking and
labelling the mean point.
Investigation 7
Transcribed Image Text:MODELLING RELATIONSHIPS: LINEAR 3 The heights in metres (x) and weights in kilograms (y) of ten male gorillas are shown in the table. 1.9 1.83 1.81 1.79 1.74 1.91 1.93 1.86 1.81 1.95 275 267 260 258 272 273 268 261 273 a Calculate the value of r. Comment on the correlation. b Write down the equation of the least squares regression line for this data. CF ind the mean height for this group of male gorillas. d Find the mean weight for this group of male gorillas. e Plot the data points on a scatter diagram together with the regression line of y on x, clearly marking and labelling the mean point. Investigation 7
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