Carlos's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation $y = 61 + 7.6x$, where $y$ represents the expected quiz score and $x$ represents hours spent on homework that week. What is the meaning of the $x$-value when $y = 92$? The number of hours a student should spend on their homework to expect a score of 92 on the quiz. The change in expected quiz score for every additional one hour students spend on their homework. A student's expected quiz score if they spent 92 hours on their homework. A student's expected quiz score if they spent no time on their homework.
Added by Diana F.
Close
Step 1
62x is a linear equation, where y is the dependent variable (expected quiz score) and x is the independent variable (hours spent on homework). The coefficient of x, 7.62, is the slope of the line, which represents the rate of change of y with respect to x. This Show more…
Show all steps
Your feedback will help us improve your experience
Allison Knapp and 53 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A college statistics professor is interested in the relationship among various aspects of students' academic behavior and their final grade in the class. She found a significant relationship between the number of hours spent studying statistics per week, the number of classes attended per semester, the number of assignments turned in during the semester, and the student's final grade. This relationship is described by the multiple regression equation $y^{\prime}=-14.9+0.93359 x_{1}+$ $0.99847 x_{2}+5.3844 x_{3} .$ Predict the final grade for a student who studies statistics 8 hours per week $\left(x_{1}\right)$, attends 34 classes $\left(x_{2}\right),$ and turns in 11 assignments $\left(x_{3}\right)$
Correlation and Regression
Multiple Regression (Optional)
The number of hours 9 students spent studying and their resulting test scores have a significant linear correlation. The equation of the regression line (line of best fit) is: y' = 42.518 + 7.013x If a student studies for 5 hours for the test, he/she can expect to get a score of [ Select ] on the test (round to the nearest whole number). The y-intercept of [ Select ] means that a student who studied [ Select ] hours can expect to get a score of [ Select ] on the test (round to the nearest whole number). The slope of [ Select ] means that for every additional hour a student studies for the test, he/she can expect to [ Select ] the test score by [ Select ] points (round to the nearest whole number).
Madhur L.
A teacher wanted to predict a student's score on the linear correlation test based on the number of hours the student studied. The teacher discovered that test grades y are related to the number of study hours x. Suppose that the equation of the regression line is y = 8x + 4. If a student made a 60 on the test, this would lead the teacher to believe that the student studied for how many hours? a) 9 b) 8 c) 7
Thuc N.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD