Pass the ball: The following table lists the heights (inches) and weights (pounds) of 8 National Football League quarterbacks in the 2018 season. Name Carson Wentz Mitchell Trubisky Russell Wilson Aaron Rogers Russell Wilson Baker Mayfield Lamar Jackson Andrew Luck Send data to Excel Part: 0/4 Part 1 of 4 Weight (pounds) (a) Construct a scatterplot of the weight (v) versus the height (x). Part: 1/4 Part 2 of 4 250. 245. 240- 235- 230 225- 220- 215- 210. 205 50 y Height 77 74 77 77 71 73 75 76 COULEUSES 35 60 65 The correlation coefficient is r 0 Weight 237 222 244 230 206 215 200 234 70 . 0 ● ● ● 30 Height (inches) 85 90 95 100 X (b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at least three decimal places. do

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 14PPS
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Pass the ball: The following table lists the heights (inches) and weights (pounds) of 8 National Football League
quarterbacks in the 2018 season.
Name
Carson Wentz
Mitchell Trubisky
Russell Wilson
Aaron Rogers
Russell Wilson
Baker Mayfield
Lamar Jackson
Andrew Luck
Send data to Excel
Part: 0 / 4
Part 1 of 4
Weight (pounds)
Part: 1 / 4
Part 2 of 4
(a) Construct a scatterplot of the weight (y) versus the height (x).
Part: 2/4
Part 3 of 4
230-
245.
Part: 3 / 4
240.
Part 4 of 4
235.
230-
225-
220
y
215+
210
205
30
Height
77
74
77
55
7 71 73 75 76
6)
77
The correlation coefficient is r=
65
Weight
237
222
244
230
206
215
200
234
30
O
O
75
80
Height (inches)
(b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at
least three decimal places.
8.5
X
95
S
100
(c) If a quarterback is below average in height, would you expect him to be above average or below average in
weight? Explain.
I would expect the quarterback to be below
X
▼ average in weight since r is positive
X
(d) Which of the following is the best interpretation of the correlation coefficient?
O If a quarterback gains weight, he will grow taller.
O Given two quarterbacks, the taller one is likely to be heavier than the shorter one.
O Given two quarterbacks, the heavier one is likely to be shorter than the lighter one.
3
$
X
Ś
olo
Transcribed Image Text:Pass the ball: The following table lists the heights (inches) and weights (pounds) of 8 National Football League quarterbacks in the 2018 season. Name Carson Wentz Mitchell Trubisky Russell Wilson Aaron Rogers Russell Wilson Baker Mayfield Lamar Jackson Andrew Luck Send data to Excel Part: 0 / 4 Part 1 of 4 Weight (pounds) Part: 1 / 4 Part 2 of 4 (a) Construct a scatterplot of the weight (y) versus the height (x). Part: 2/4 Part 3 of 4 230- 245. Part: 3 / 4 240. Part 4 of 4 235. 230- 225- 220 y 215+ 210 205 30 Height 77 74 77 55 7 71 73 75 76 6) 77 The correlation coefficient is r= 65 Weight 237 222 244 230 206 215 200 234 30 O O 75 80 Height (inches) (b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at least three decimal places. 8.5 X 95 S 100 (c) If a quarterback is below average in height, would you expect him to be above average or below average in weight? Explain. I would expect the quarterback to be below X ▼ average in weight since r is positive X (d) Which of the following is the best interpretation of the correlation coefficient? O If a quarterback gains weight, he will grow taller. O Given two quarterbacks, the taller one is likely to be heavier than the shorter one. O Given two quarterbacks, the heavier one is likely to be shorter than the lighter one. 3 $ X Ś olo
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