Data were collected from librarians about their reading habits and job experience. The results were used to calculate the model ŷ = 3.84x + 9.85, where x represents the number of years working as a librarian and ŷ represents the predicted number of books read per year. Interpret the slope of the model in the context of the problem.  Approximately 10 librarians read between 3 and 4 books each.  Approximately 4 librarians read 10 books each. For every additional year working, librarians are predicted to read between 3 and 4 more books per year.  For every additional year working, librarians are predicted to read more than 9 more books per year.

1. Develop a simple linear regression equation for starting salaries using an independent variable that has the closest relationship with the salaries. Explain how you chose this variable.

You run a linear regression to predict BMI (body mass index) from average minutes of physical activity per day. You calculate the slope of the regression to be -.054. Interpret the slope in terms of the independent and dependent variables.

The relationship between number of TikToks watched while studying and average grade on an exam is defined by the following linear regression equation:  Ŷ= -0.3X + 70    Interpret the equation by answering the following:   a. What is the slope?  b. What does the slope tell us in this example?

The relationship between number of TikToks watched while studying and average grade on an exam is defined by the following linear regression equation: Y=-0.3X+70 Interpret the equation by answering the following: a. What is the slope? b. What does the slope tell us in this example?

Suppose trips/wk=3.1 –0.15(dist) is a linear model that predicts the number of supermarket trips a family makes per week when they live a certain distance (in miles) from a supermarket. It was established by sampling people who live within 10 miles of a supermarket. Which of the following is the correct interpretation of the slope? a. For each additional trip that the family makes, they live 0.15 miles away from the store b. For each additional mile away from the store the family lives, they make 0.15 more visits per week c. For each additional mile away from the store the family lives, they make 0.15 fewer visits per week d. For each additional trip they make to the store, they live an additional 3.1 miles away. e. For each additional mile away they live, they make 3.1 more trips to the stor.

The linear regression equation for the data from the number 2 is y=.27x+5.82.  Describe the slope of the linear best-fit equations.

biologist was recording various temperatures (in degrees Celsius) and predicting the amount of glucose produced by a plant (in milligrams). Suppose the linear equation was the following: ?̂ = 12.7 − 0.223? a) Interpret the slope of the regression line.

Growth charts are often used to monitor children's health. Suppose the average weight for a 1 year old and a 30 month old are 9.6 kilograms and 13.5 kilograms, respectively. a. Find the equation that relates a child's weight (in kilograms) to age (in months), assuming that weight is a linear function of age from 1 year old. b. Provide a detailed interpretation of the slope. C. What is the estimated weight of a 3 year old child?

The following linear regression model can be used to predict ticket sales at a popular water park. Ticket sales per hour = - 631.25 + 11.25(current temperature in °F)23) Choose the statement that best states the meaning of the slope in this context. A)  The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets. B)  The slope tells us that high temperatures are causing more people to buy tickets to the water park. C)  The slope tells us that if ticket sales are decreasing there must have been a drop in temperature. D)  None of these