*We thoroughly check each answer to a question to provide you with the most correct answers. Found a mistake? Tell us about it through the REPORT button at the bottom of the page. ***Ctrl+F (Cmd+F) will help you a lot when searching through such a large set of questions.**

**Contents**hide

Are good grades in high school associated with family togetherness? A random sample of 142 high school students was asked how many meals per week their families ate together. Their responses produced a mean of 3.78 meals per week, with a standard deviation of 2.2. Researchers then matched these responses against the students’ grade point averages (GPAs). The scatterplot appeared to be reasonably linear, so they created a line of regression. No apparent pattern emerged in the residuals plot. The equation of the line was

GPA

= 2.73 + 0.11 Meals.

a) Interpret they-intercept in this context. b) Interpret the slope in this context. c) What was the mean GPA for these students? d) If a student in this study had a negative residual, what did that mean? e) Upon hearing of this study, a counselor recommended that parents who want to improve the grades their children get should get the family to eat together more often. Do you agree with this interpretation? Explain.

## Answer

a) If a student never ate with his family, his GPA is expected to be about 2.73.

b) GPA increases by about 0.11 for every meal per week

c) 3.1458

d) Student scored less on its GPA than expected

e) No

## Explanation

a) The y=intercept is 2.73, which means that if a student never ate with his family, his GPA is expected to be about 2.73

b) The slope is 0.11, which means that the GPA increases by about 0.11 for every meal per week.

c) The mean GPA is:

Thus the GPA is expected to be 3.1458

d) The student scored less on its GPA than was expected (by model).

e) No, because it could be that families who eat more together are more interested in each other lives and are thus will motivate each other more to do better.

### Was this helpful?

##### Quizzma Team

The Quizzma Team is a collective of experienced educators, subject matter experts, and content developers dedicated to providing accurate and high-quality educational resources. With a diverse range of expertise across various subjects, the team collaboratively reviews, creates, and publishes content to aid in learning and self-assessment.

Each piece of content undergoes a rigorous review process to ensure accuracy, relevance, and clarity. The Quizzma Team is committed to fostering a conducive learning environment for individuals and continually strives to provide reliable and valuable educational resources on a wide array of topics. Through collaborative effort and a shared passion for education, the Quizzma Team aims to contribute positively to the broader learning community.