Education The following ordered pairs give the entrance exam scores x and the grade-point averages y after 1 year of college for 10 students. (75, 2.3), (82, 3.0), (90, 3.6), (65, 2.0), (70, 2.1), (88,3.5), (93, 3.9), (69,2.0), (80, 2.8), (85, 3.3) (a))Create a scatter plot of the data. Does the relationship between x and y appear to be approximately linear? Explain.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Graphs:**

4. The graph shows a scatter plot with points that create a downward trend, indicating a negative correlation between the variables.

5. The graph depicted is a scatter plot showing a parabolic pattern, implying a non-linear relationship resembling an inverted U shape.

---

**Education**

The following ordered pairs give the entrance exam scores \( x \) and the grade-point averages \( y \) after 1 year of college for 10 students:

\[ (75, 2.3), (82, 3.0), (90, 3.6), (65, 2.0), (70, 2.1), (88, 3.5), (93, 3.9), (69, 2.0), (80, 2.8), (85, 3.3) \]

(a) Create a scatter plot of the data.

(b) Does the relationship between \( x \) and \( y \) appear to be approximately linear? Explain.

---

**Industrial Engineering**

A machine part was tested by bending it \( x \) centimeters 10 times per minute until it failed (\( y \) equals the time to failure in hours). The results are given as the following ordered pairs:

\[ (3, 61), (6, 56), (9, 53), (12, 55), (15, 48), (18, 35), (21, 36), (24, 33), (27, 44), (30, 23) \]

(a) Create a scatter plot of the data.

(b) Does the relationship between \( x \) and \( y \) appear to be approximately linear? If not, give some possible explanations.
Transcribed Image Text:**Graphs:** 4. The graph shows a scatter plot with points that create a downward trend, indicating a negative correlation between the variables. 5. The graph depicted is a scatter plot showing a parabolic pattern, implying a non-linear relationship resembling an inverted U shape. --- **Education** The following ordered pairs give the entrance exam scores \( x \) and the grade-point averages \( y \) after 1 year of college for 10 students: \[ (75, 2.3), (82, 3.0), (90, 3.6), (65, 2.0), (70, 2.1), (88, 3.5), (93, 3.9), (69, 2.0), (80, 2.8), (85, 3.3) \] (a) Create a scatter plot of the data. (b) Does the relationship between \( x \) and \( y \) appear to be approximately linear? Explain. --- **Industrial Engineering** A machine part was tested by bending it \( x \) centimeters 10 times per minute until it failed (\( y \) equals the time to failure in hours). The results are given as the following ordered pairs: \[ (3, 61), (6, 56), (9, 53), (12, 55), (15, 48), (18, 35), (21, 36), (24, 33), (27, 44), (30, 23) \] (a) Create a scatter plot of the data. (b) Does the relationship between \( x \) and \( y \) appear to be approximately linear? If not, give some possible explanations.
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