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At a university, undergraduates were asked their own height and the ideal height for their ideal spouse or partner. The table shows the data for a representative sample of 10 students, where x represents the height of the students and y represents the height for their ideal spouse or partner. All heights are in inches. Complete parts a through c. a. Find the least squares line and correlation coefficient for this data. What stran Find the least squares line using a graphing calculator.

At a university, undergraduates were asked their own height and the ideal height for their ideal spouse or partner. The table shows the data for a representative sample of 10 students, where x represents the height of the students and y represents the height for their ideal spouse or partner. All heights are in inches. Complete parts a through c. a. Find the least squares line and correlation coefficient for this data. What stran Find the least squares line using a graphing calculator.

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
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**Educational Website Content: Analysis of Height and Ideal Partner Preferences** ### Problem Context: At a university, undergraduates were asked about their own height and the ideal height for their ideal spouse or partner. The table below shows data for a sample of 10 students, where \(x\) represents the student's height and \(y\) represents the height for their ideal partner. All measurements are in inches. | Student | Height (\(x\)) | Ideal Height (\(y\)) | |---------|---------------|-----------------------| | 1 | 62 | 59 | | 2 | 71 | 66 | | 3 | 71 | 67 | | 4 | 63 | 63 | | 5 | 66 | 63 | | 6 | 69 | 73 | | 7 | 73 | 73 | | 8 | 66 | 75 | | 9 | 70 | 75 | | 10 | 71 | 66 | ### Tasks and Analysis: **a. Calculate the Least Squares Line and Correlation Coefficient** - **Least Squares Line**: Find the best-fit line using a graphing calculator. - **Correlation Coefficient**: Calculate the degree of relationship between the two variables. Additionally, identify any unusual phenomenon in the data such as: - Option A: The taller the student, the shorter the ideal partner's height. - Option B: The taller the student, the taller the ideal partner's height. **b. Separate by Gender:** - Analyze the first five data pairs as female students and the next five as male students. - Determine the least squares line and correlation coefficient for each gender group. **c. Graphing & Phenomena:** - Plot all data on a single graph distinguishing data by gender. - From the visual representation, deduce the strange phenomenon observed in part (a). - Choose the correct graph (A, B, C, or D) with axes ranging from 55 to 80 in increments of 5. **Graph Descriptions:** - **Graph A**: Shows data points with no clear correlation. - **Graph B**: Displays a negative correlation between student's height and ideal partner's height. - **Graph C**: Illustrates positive correlation with distinct separation for
Transcribed Image Text:**Educational Website Content: Analysis of Height and Ideal Partner Preferences** ### Problem Context: At a university, undergraduates were asked about their own height and the ideal height for their ideal spouse or partner. The table below shows data for a sample of 10 students, where \(x\) represents the student's height and \(y\) represents the height for their ideal partner. All measurements are in inches. | Student | Height (\(x\)) | Ideal Height (\(y\)) | |---------|---------------|-----------------------| | 1 | 62 | 59 | | 2 | 71 | 66 | | 3 | 71 | 67 | | 4 | 63 | 63 | | 5 | 66 | 63 | | 6 | 69 | 73 | | 7 | 73 | 73 | | 8 | 66 | 75 | | 9 | 70 | 75 | | 10 | 71 | 66 | ### Tasks and Analysis: **a. Calculate the Least Squares Line and Correlation Coefficient** - **Least Squares Line**: Find the best-fit line using a graphing calculator. - **Correlation Coefficient**: Calculate the degree of relationship between the two variables. Additionally, identify any unusual phenomenon in the data such as: - Option A: The taller the student, the shorter the ideal partner's height. - Option B: The taller the student, the taller the ideal partner's height. **b. Separate by Gender:** - Analyze the first five data pairs as female students and the next five as male students. - Determine the least squares line and correlation coefficient for each gender group. **c. Graphing & Phenomena:** - Plot all data on a single graph distinguishing data by gender. - From the visual representation, deduce the strange phenomenon observed in part (a). - Choose the correct graph (A, B, C, or D) with axes ranging from 55 to 80 in increments of 5. **Graph Descriptions:** - **Graph A**: Shows data points with no clear correlation. - **Graph B**: Displays a negative correlation between student's height and ideal partner's height. - **Graph C**: Illustrates positive correlation with distinct separation for
Using this plot and the results from part (b), explain the strange phenomenon that you observe in part (a). - **A.** The results from part (b) indicate that the taller the student, the taller is the ideal partner's height. The strange phenomenon observed in part (a) is explained by the fact that there are two distinct populations represented by the sample. - **B.** The results from part (b) indicate that the shorter the student, the shorter is the ideal partner's height. The strange phenomenon observed in part (a) is explained by the fact that there are two distinct populations represented by the sample. - **C.** The results from part (b) indicate that there is no linear correlation between the heights of partners. This explains the strange phenomenon observed in part (a).
Transcribed Image Text:Using this plot and the results from part (b), explain the strange phenomenon that you observe in part (a). - **A.** The results from part (b) indicate that the taller the student, the taller is the ideal partner's height. The strange phenomenon observed in part (a) is explained by the fact that there are two distinct populations represented by the sample. - **B.** The results from part (b) indicate that the shorter the student, the shorter is the ideal partner's height. The strange phenomenon observed in part (a) is explained by the fact that there are two distinct populations represented by the sample. - **C.** The results from part (b) indicate that there is no linear correlation between the heights of partners. This explains the strange phenomenon observed in part (a).
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