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
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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.1: Properties And Operations
Problem 57E
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![**Pass the Ball: Analysis of Heights and Weights of NFL Quarterbacks in 2018**
The table lists the height (in inches) and weight (in pounds) of 8 National Football League quarterbacks from the 2018 season:
| Name | Height (inches) | Weight (pounds) |
|--------------------|-----------------|-----------------|
| Carson Wentz | 77 | 237 |
| Mitchell Trubisky | 74 | 222 |
| Russell Wilson | 71 | 244 |
| Aaron Rodgers | 77 | 230 |
| Russell Wilson | 71 | 206 |
| Baker Mayfield | 73 | 215 |
| Lamar Jackson | 75 | 200 |
| Andrew Luck | 76 | 234 |
**Part 1 of 4: Scatterplot Construction**
(a) Construct a scatterplot of the weight (y-axis) versus the height (x-axis).
The scatterplot displays several points representing each quarterback’s height and weight. The x-axis is labeled "Height (inches)" and ranges from approximately 70 to 78 inches, while the y-axis is labeled "Weight (pounds)" and ranges from approximately 200 to 250 pounds. Each point corresponds to the height and weight of a quarterback.
**Part 2 of 4: Correlation Coefficient Calculation**
(b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at least three decimal places.
The correlation coefficient is \( r = \) [Enter value].
**Part 3 of 4: Weight Expectation Analysis**
(c) If a quarterback is below average in height, would you expect him to be above average or below average in weight?
I would expect the quarterback to be [select: below/above] average in weight since \( r \) is [select: positive/negative].
**Part 4 of 4: Interpretation of Correlation Coefficient**
(d) Which of the following is the best interpretation of the correlation coefficient?
- If a quarterback gains weight, he will grow taller.
- Given two quarterbacks, the taller one is likely to be heavier than the shorter one.
- Given two quarterbacks, the heavier one is likely to be shorter than the lighter one.
[Select the most appropriate interpretation.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd49ae7-8b45-446c-8381-0655d7ffd02d%2Fe0f12495-4c43-4c4a-8532-07be586b4c25%2Fy4ytbv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Pass the Ball: Analysis of Heights and Weights of NFL Quarterbacks in 2018**
The table lists the height (in inches) and weight (in pounds) of 8 National Football League quarterbacks from the 2018 season:
| Name | Height (inches) | Weight (pounds) |
|--------------------|-----------------|-----------------|
| Carson Wentz | 77 | 237 |
| Mitchell Trubisky | 74 | 222 |
| Russell Wilson | 71 | 244 |
| Aaron Rodgers | 77 | 230 |
| Russell Wilson | 71 | 206 |
| Baker Mayfield | 73 | 215 |
| Lamar Jackson | 75 | 200 |
| Andrew Luck | 76 | 234 |
**Part 1 of 4: Scatterplot Construction**
(a) Construct a scatterplot of the weight (y-axis) versus the height (x-axis).
The scatterplot displays several points representing each quarterback’s height and weight. The x-axis is labeled "Height (inches)" and ranges from approximately 70 to 78 inches, while the y-axis is labeled "Weight (pounds)" and ranges from approximately 200 to 250 pounds. Each point corresponds to the height and weight of a quarterback.
**Part 2 of 4: Correlation Coefficient Calculation**
(b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at least three decimal places.
The correlation coefficient is \( r = \) [Enter value].
**Part 3 of 4: Weight Expectation Analysis**
(c) If a quarterback is below average in height, would you expect him to be above average or below average in weight?
I would expect the quarterback to be [select: below/above] average in weight since \( r \) is [select: positive/negative].
**Part 4 of 4: Interpretation of Correlation Coefficient**
(d) Which of the following is the best interpretation of the correlation coefficient?
- If a quarterback gains weight, he will grow taller.
- Given two quarterbacks, the taller one is likely to be heavier than the shorter one.
- Given two quarterbacks, the heavier one is likely to be shorter than the lighter one.
[Select the most appropriate interpretation.]
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