You are a robotics engineer working for a large tech company. For one of your artificially intelligent robots, you are looking to see if the size of the data file used to train the robot is predictive of the time the robot takes to complete a maze. You are going to collect a random sample of 9 attempts at completing the maze. You will note for each attempt the size of the data file (denoted by x, in MB) and the time (denoted by y, in seconds) to complete the maze. You will also note the product xy of the size of the data file and the completion time for each attempt. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Data file size, x 181.7 39.1 75.6 138.9 93.4 52.8 138.9 124.3 203.2 (in MB) Take Sample Completion time, y (in seconds) 143 371 320 201 343 435 252 264 88 ху 25,983.1 14,506.1 24,192 27,918.9 32,036.2 22,968 35,002.8 32,815.2 17,881.6 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. A/hon unu

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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You are a robotics engineer working for a large tech company. For one of your artificially intelligent robots, you are looking to see if the size of the data
file used to train the robot is predictive of the time the robot takes to complete a maze. You are going to collect a random sample of 9 attempts at
completing the maze. You will note for each attempt the size of the data file (denoted by x, in MB) and the time (denoted by y, in seconds) to complete
the maze. You will also note the product x'y of the size of the data file and the completion time for each attempt. (These products are written in the row
画
labeled "xy").
(a) Click on "Take Sample" to see the results for your random sample.
Data file size, x
181.7
39.1
75.6
138.9
93.4
52.8
138.9
124.3
203.2
(in MB)
Completion time, y
(in seconds)
Take Sample
143
371
320
201
343
435
252
264
88
ху
25,983.1 14,506.1 24,192 27,918.9 | 32,036.2 22,968 | 35,002.8 32,815.2 17,881.6
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places.
When you are done, select "Compute". (In the table below, n is the sample size and the symbol E xy means the sum of the values xy.)
8 回回D
Transcribed Image Text:You are a robotics engineer working for a large tech company. For one of your artificially intelligent robots, you are looking to see if the size of the data file used to train the robot is predictive of the time the robot takes to complete a maze. You are going to collect a random sample of 9 attempts at completing the maze. You will note for each attempt the size of the data file (denoted by x, in MB) and the time (denoted by y, in seconds) to complete the maze. You will also note the product x'y of the size of the data file and the completion time for each attempt. (These products are written in the row 画 labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Data file size, x 181.7 39.1 75.6 138.9 93.4 52.8 138.9 124.3 203.2 (in MB) Completion time, y (in seconds) Take Sample 143 371 320 201 343 435 252 264 88 ху 25,983.1 14,506.1 24,192 27,918.9 | 32,036.2 22,968 | 35,002.8 32,815.2 17,881.6 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, n is the sample size and the symbol E xy means the sum of the values xy.) 8 回回D
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places.
When you are done, select "Compute". (In the table below, n is the sample size and the symbol Exy means the sum of the values xy.)
n: |
Sample correlation coefficient (r):
x:
y:
Slope (b,):
y-intercept (b,):
E xy: ]
Compute
Transcribed Image Text:Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, n is the sample size and the symbol Exy means the sum of the values xy.) n: | Sample correlation coefficient (r): x: y: Slope (b,): y-intercept (b,): E xy: ] Compute
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