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EXAMPLE 3. Sam is interested in predicting the amount of time it takes him to write a report (minutes) based on its word count. He randomly selects 7 reports and records the amount of time it took him to write each report and the corresponding word count. Given the following table of additional information: 1,606 909 |1,222,691 130,988 E (; – 2)(y; – ) 298,909 Identify, in words, the dependent variable. a. X = a report's word count O b. Y = a report's word count c. Y = amount of time it takes Sam to write a report (minutes) d. X = amount of time it takes Sam to write a report (minutes) Calculate the standard deviation of X. a. 494.5080 b. 417.9356 c. 390.9429 d. None of the other choices

EXAMPLE 3. Sam is interested in predicting the amount of time it takes him to write a report (minutes) based on its word count. He randomly selects 7 reports and records the amount of time it took him to write each report and the corresponding word count. Given the following table of additional information: 1,606 909 |1,222,691 130,988 E (; – 2)(y; – ) 298,909 Identify, in words, the dependent variable. a. X = a report's word count O b. Y = a report's word count c. Y = amount of time it takes Sam to write a report (minutes) d. X = amount of time it takes Sam to write a report (minutes) Calculate the standard deviation of X. a. 494.5080 b. 417.9356 c. 390.9429 d. None of the other choices

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hi, I would appreciate if you could help me with the following questions please.

### Correlation and Determination Quiz #### Question 1: Find the correlation coefficient between X and Y. Choose one of the following options: - a. None of the other choices - b. 0.8410 - c. 0.6402 - d. 0.7469 #### Question 2: What is the direction of the linear association? Choose one of the following options: - a. None of the other choices - b. Weak - c. Strong - d. Moderate #### Question 3: Calculate the coefficient of determination. Choose one of the following options: - a. 0.5579 - b. None of the other choices - c. 0.4099 - d. 0.7073 #### Question 4: Determine the least squares regression equation. Choose one of the following options: - a. \(\hat{y} = 516.3330 + 0.2445x\) - b. \(\hat{y} = -2755.8231 + 2.282x\) - c. \(\hat{y} = 1383.7785 + 0.2445x\) - d. \(\hat{y} = -468.299 + 2.282x\)
Transcribed Image Text:### Correlation and Determination Quiz #### Question 1: Find the correlation coefficient between X and Y. Choose one of the following options: - a. None of the other choices - b. 0.8410 - c. 0.6402 - d. 0.7469 #### Question 2: What is the direction of the linear association? Choose one of the following options: - a. None of the other choices - b. Weak - c. Strong - d. Moderate #### Question 3: Calculate the coefficient of determination. Choose one of the following options: - a. 0.5579 - b. None of the other choices - c. 0.4099 - d. 0.7073 #### Question 4: Determine the least squares regression equation. Choose one of the following options: - a. \(\hat{y} = 516.3330 + 0.2445x\) - b. \(\hat{y} = -2755.8231 + 2.282x\) - c. \(\hat{y} = 1383.7785 + 0.2445x\) - d. \(\hat{y} = -468.299 + 2.282x\)
**EXAMPLE 3** Sam is interested in predicting the amount of time it takes him to write a report (minutes) based on its word count. He randomly selects 7 reports and records the amount of time it took him to write each report and the corresponding word count. Given the following table of additional information: | Statistic | Value | |-------------------------------------------------------------|---------| | \(\bar{x}\) (Mean of X) | 1,606 | | \(\bar{y}\) (Mean of Y) | 909 | | \(\sum_{i=1}^{n} (x_i - \bar{x})^2\) (Sum of squared deviations of X) | 1,222,691 | | \(\sum_{i=1}^{n} (y_i - \bar{y})^2\) (Sum of squared deviations of Y) | 130,988 | | \(\sum_{i=1}^{n} (x_i - \bar{x})(y_i - \bar{y})\) (Sum of products of deviations) | 298,909 | **Identify, in words, the dependent variable.** - ○ a. X = a report's word count - ○ b. Y = a report's word count - ○ c. Y = amount of time it takes Sam to write a report (minutes) - ○ d. X = amount of time it takes Sam to write a report (minutes) **Calculate the standard deviation of X.** - ○ a. 494.5080 - ○ b. 417.9356 - ○ c. 390.9429 - ○ d. None of the other choices
Transcribed Image Text:**EXAMPLE 3** Sam is interested in predicting the amount of time it takes him to write a report (minutes) based on its word count. He randomly selects 7 reports and records the amount of time it took him to write each report and the corresponding word count. Given the following table of additional information: | Statistic | Value | |-------------------------------------------------------------|---------| | \(\bar{x}\) (Mean of X) | 1,606 | | \(\bar{y}\) (Mean of Y) | 909 | | \(\sum_{i=1}^{n} (x_i - \bar{x})^2\) (Sum of squared deviations of X) | 1,222,691 | | \(\sum_{i=1}^{n} (y_i - \bar{y})^2\) (Sum of squared deviations of Y) | 130,988 | | \(\sum_{i=1}^{n} (x_i - \bar{x})(y_i - \bar{y})\) (Sum of products of deviations) | 298,909 | **Identify, in words, the dependent variable.** - ○ a. X = a report's word count - ○ b. Y = a report's word count - ○ c. Y = amount of time it takes Sam to write a report (minutes) - ○ d. X = amount of time it takes Sam to write a report (minutes) **Calculate the standard deviation of X.** - ○ a. 494.5080 - ○ b. 417.9356 - ○ c. 390.9429 - ○ d. None of the other choices
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