The height (in cm) and weight (in lbs) of 15 randomly selected baseball players are shown in the table below. height weight 76 212 76 224 72 180 74 210 75 215 71 200 77 235 78 235 77 194 76 185

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The height (in cm) and weight (in lbs) of 15 randomly
selected baseball players are shown in the table below.
height
weight
76
212
76
224
72
180
74
210
75
215
71
200
77
235
78
235
77
194
76
185
72
180
72
170
75
220
74
228
73
210
(This data set is also available on Desmos.com or as an
e Excel file. D [+]
Assume we want to do a regression analysis.
i. Find the correlation coefficient. Round your answer to
four decimal places.
r= 0.60:
ii. Does it actually make sense to use the line for
predictions? Do a hypothesis test with a=0.05 and explain
your answer. You may want to reference a e Critical
Values Table [+] (there is also one in your textbook).
iii. What percent of the variation in weight can be
explained by variation in height?
About
% of the variation in weight can be
explained by variation in height. Give your answer
as a whole number.
iv. Find the equation for the regression line. (Please do this
even if it does not make sense to use the line for
predictions.) Round your answers to one decimal place.
y =
Transcribed Image Text:The height (in cm) and weight (in lbs) of 15 randomly selected baseball players are shown in the table below. height weight 76 212 76 224 72 180 74 210 75 215 71 200 77 235 78 235 77 194 76 185 72 180 72 170 75 220 74 228 73 210 (This data set is also available on Desmos.com or as an e Excel file. D [+] Assume we want to do a regression analysis. i. Find the correlation coefficient. Round your answer to four decimal places. r= 0.60: ii. Does it actually make sense to use the line for predictions? Do a hypothesis test with a=0.05 and explain your answer. You may want to reference a e Critical Values Table [+] (there is also one in your textbook). iii. What percent of the variation in weight can be explained by variation in height? About % of the variation in weight can be explained by variation in height. Give your answer as a whole number. iv. Find the equation for the regression line. (Please do this even if it does not make sense to use the line for predictions.) Round your answers to one decimal place. y =
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