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PROBLEM 2 A social media researcher tests a theory predicting that the number of subliminal/unconscious exposures to a stranger's face is related to the strength of connection one experiences upon later meeting that stranger in a brief in-person encounter in the lab. One subject is randomly assigned to one of eight different exposure conditions (i.e., one subject is in the one-time exposure condition, one subject is exposed to the subliminal face twice, and so forth, up to a total of eight subliminal exposures to the stranger's face. This makes eight participants in all, one for each of the eight levels of exposure. The researchers record the subjects' rating of how strongly they feel their connection was to the stranger after meeting her face- to-face in a brief, scripted encounter in the lab. Results are shown below: Y # of Exposures Strength of Perceived Connection 3 2 2 3 3 4 5 5 4 8 7 11 8 14 In addition to the raw scores for each variable, you know the following: s? = 6,000 S,? = 18.786 a. Create a Scatterplot. Make sure to label the X and Y axes and to draw your graph with relative precision and care because you will use it to plot the line of best fit in Part 2. b. Find Pearson's correlation coefficient, or “r". Make sure to show all of your work. Use n (sample size) if you choose the Computational Formula for your calculations of the test statistic. Use n-1 if you choose the Definitional Formula. c. Indicate whether the Pearson's “r" you calculated is statistically significant and make sure to report the critical value you tested it against (non-directional, alpha = .05)

PROBLEM 2 A social media researcher tests a theory predicting that the number of subliminal/unconscious exposures to a stranger's face is related to the strength of connection one experiences upon later meeting that stranger in a brief in-person encounter in the lab. One subject is randomly assigned to one of eight different exposure conditions (i.e., one subject is in the one-time exposure condition, one subject is exposed to the subliminal face twice, and so forth, up to a total of eight subliminal exposures to the stranger's face. This makes eight participants in all, one for each of the eight levels of exposure. The researchers record the subjects' rating of how strongly they feel their connection was to the stranger after meeting her face- to-face in a brief, scripted encounter in the lab. Results are shown below: Y # of Exposures Strength of Perceived Connection 3 2 2 3 3 4 5 5 4 8 7 11 8 14 In addition to the raw scores for each variable, you know the following: s? = 6,000 S,? = 18.786 a. Create a Scatterplot. Make sure to label the X and Y axes and to draw your graph with relative precision and care because you will use it to plot the line of best fit in Part 2. b. Find Pearson's correlation coefficient, or “r". Make sure to show all of your work. Use n (sample size) if you choose the Computational Formula for your calculations of the test statistic. Use n-1 if you choose the Definitional Formula. c. Indicate whether the Pearson's “r" you calculated is statistically significant and make sure to report the critical value you tested it against (non-directional, alpha = .05)

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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**Problem 2** A social media researcher tests a theory predicting that the number of subliminal/unconscious exposures to a stranger’s face is related to the strength of connection one experiences upon later meeting that stranger in a brief in-person encounter in the lab. One subject is randomly assigned to one of eight different exposure conditions (i.e., one subject is in the one-time exposure condition, one subject is exposed to the subliminal face twice, and so forth, up to a total of eight subliminal exposures to the stranger’s face). This makes eight participants in all, one for each of the eight levels of exposure. The researchers record the subjects’ rating of how strongly they feel their connection was to the stranger after meeting her face-to-face in a brief, scripted encounter in the lab. Results are shown below: | # of Exposures (X) | Strength of Perceived Connection (Y) | |--------------------|--------------------------------------| | 1 | 3 | | 2 | 2 | | 3 | 3 | | 4 | 5 | | 5 | 4 | | 6 | 8 | | 7 | 11 | | 8 | 14 | In addition to the raw scores for each variable, you know the following: - \( S_X^2 = 6.000 \) - \( S_Y^2 = 18.786 \) Tasks: a. Create a Scatterplot. Make sure to label the X and Y axes and to draw your graph with relative precision and care because you will use it to plot the line of best fit in Part 2. b. Find Pearson’s correlation coefficient, or “r”. Make sure to show all of your work. Use \( n \) (sample size) if you choose the Computational Formula for your calculations of the test statistic. Use \( n-1 \) if you choose the Definitional Formula. c. Indicate whether the Pearson’s “r” you calculated is statistically significant and make sure to report the critical value you tested it against (non-directional, alpha = .05).
Transcribed Image Text:**Problem 2** A social media researcher tests a theory predicting that the number of subliminal/unconscious exposures to a stranger’s face is related to the strength of connection one experiences upon later meeting that stranger in a brief in-person encounter in the lab. One subject is randomly assigned to one of eight different exposure conditions (i.e., one subject is in the one-time exposure condition, one subject is exposed to the subliminal face twice, and so forth, up to a total of eight subliminal exposures to the stranger’s face). This makes eight participants in all, one for each of the eight levels of exposure. The researchers record the subjects’ rating of how strongly they feel their connection was to the stranger after meeting her face-to-face in a brief, scripted encounter in the lab. Results are shown below: | # of Exposures (X) | Strength of Perceived Connection (Y) | |--------------------|--------------------------------------| | 1 | 3 | | 2 | 2 | | 3 | 3 | | 4 | 5 | | 5 | 4 | | 6 | 8 | | 7 | 11 | | 8 | 14 | In addition to the raw scores for each variable, you know the following: - \( S_X^2 = 6.000 \) - \( S_Y^2 = 18.786 \) Tasks: a. Create a Scatterplot. Make sure to label the X and Y axes and to draw your graph with relative precision and care because you will use it to plot the line of best fit in Part 2. b. Find Pearson’s correlation coefficient, or “r”. Make sure to show all of your work. Use \( n \) (sample size) if you choose the Computational Formula for your calculations of the test statistic. Use \( n-1 \) if you choose the Definitional Formula. c. Indicate whether the Pearson’s “r” you calculated is statistically significant and make sure to report the critical value you tested it against (non-directional, alpha = .05).
Part 2: Regression Based on the correlation you ran to assess the relationship between # of exposures and perceived connection strength recalled, please carry out the steps to determine the equation for the regression line (or best-fitting line). a. **Step 1:** Find the slope and y-intercept. b. **Step 2:** Using these values, write the equation for the best fitting line, but make sure to write it in terms of the specific predictor (X) and predicted (Y) variables of interest. In other words, your equation should use variable names “# of exposures” and “perceived strength of connection rating”, rather than X and Y. c. Using the regression equation, please predict the perceived connection strength score for a student exposed subliminally to the stranger’s face *seven* times. Make sure to show your work. d. Using the regression equation, draw the line of best fit on your scatterplot. Please use at least *3 points* to anchor your line and show your work.
Transcribed Image Text:Part 2: Regression Based on the correlation you ran to assess the relationship between # of exposures and perceived connection strength recalled, please carry out the steps to determine the equation for the regression line (or best-fitting line). a. **Step 1:** Find the slope and y-intercept. b. **Step 2:** Using these values, write the equation for the best fitting line, but make sure to write it in terms of the specific predictor (X) and predicted (Y) variables of interest. In other words, your equation should use variable names “# of exposures” and “perceived strength of connection rating”, rather than X and Y. c. Using the regression equation, please predict the perceived connection strength score for a student exposed subliminally to the stranger’s face *seven* times. Make sure to show your work. d. Using the regression equation, draw the line of best fit on your scatterplot. Please use at least *3 points* to anchor your line and show your work.
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