Explain the meaning of Legendre’s quote given.

You Explain It! Study Time and Exam Scores

After the first exam in a statistics course, Professor Katula surveyed 14 randomly selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is:

ŷ = 6.3333x + 53.0298

c. What is the mean score of students who did not study?

You Explain It! Study Time and Exam Scores

After the first exam in a statistics course, Professor Katula surveyed 14 randomly selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is:

ŷ = 6.3333x + 53.0298

d. A student who studied 5 hours for the exam scored 81 on the exam. Is this student’s exam score above or below average among all students who studied 5 hours?

CEO Performance Explain why it does not make sense to find a least-squares regression line for the CEO Performance data from Problem 33 in Section 4.1.  

Bear Markets Explain why it does not make sense to find a least-squares regression line for the Bear Market data from Problem 34 in Section 4.1.  

Explain what each point on the least-squares regression line represents.

The _____ _____ _____, R^2, quantifies the proportion of total variation in the response variable explained by the least-squares regression line.

What is the simple least-squares regression model? What are the requirements to perform inference on a simple least-squares regression line? How do we verify that these requirements are met?

[DATA] Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. The following table lists the temperature (in degrees Fahrenheit, °F) and the number of chirps per second for the striped ground cricket.

i. Construct a 90% prediction interval for the number of chirps found in part (h).