Interpreting Linear Equations Fit to Bivariate Data

The scatter plot shows the total amount of homeruns made by the Tampa Bay Rays in regular seasons from 2012 to 2021. The point (4, 216) is on the scatter plot. Interpret the meaning of this point in context.

• The Tampa Bay Rays made 216 homeruns in the 4th game of the season.

• The Tampa Bay Rays made 216 homeruns in the 4th month of the year.

• The Tampa Bay Rays made 216 homeruns in the 4th year of the given period.

• The Tampa Bay Rays made 2016 homeruns in the 4th inning of a game.

The scatter plot shows the total amount of homeruns made by the Tampa Bay Rays in regular seasons from 2012 to 2021. Describe the association between the years since 2012 and the total home runs made.

• There is a positive weak association between the years since 2012 and the total home runs made.

• There is a negative strong association between the years since 2012 and the total home runs made.

• There is no association between the years since 2012 and the total home runs made.

• There is a positive strong association between the years since 2012 and the total home runs made.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.8x + 165.8. How does the slope of the line of fit relate to the associations from question 2?

• The slope indicates a positive and weak association.

• The slope indicates a negative and weak association.

• The slope indicates a positive and strong association.

• The slope indicates a perfect association.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.8x + 165.8. What does the slope represent in this context?

• The number of homeruns increases by an average of 1.8 for each year since 2012

• The number of homeruns in 2012 for each increasing 1.8

• The slope represents the maximum value of y.

• The slope represents the minimum value of x.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.8x + 165.8. Does the y-intercept of the line make sense in this context?

• Yes, it makes sense because it represents the starting value when x is zero.

• No, it does not make sense because the y-intercept shouldn't be a decimal for homeruns

• Yes, it makes sense because it is a common value for y-intercepts in linear equations.

• No, it does not make sense because the y-intercept should be negative.

The scatter plot shows the relationship between the total number of people who use the internet in a region, in millions, and that same region’s percentage of literacy rate. The point (1.51, 39) is on the scatter plot. Interpret the meaning of this point in context.

• A region with 1.51 million internet users has a 39% literacy rate.

• A region with 39 million internet users has a 1.51% literacy rate.

• A region with 1.51 million internet users has a 51% literacy rate.

• A region with 39 million internet users has a 39% literacy rate.

The scatter plot shows the relationship between the total number of people who use the internet in a region, in millions, and that same region’s percentage of literacy rate. What is the association between the total number of people using the internet in a region and that region’s literacy rate?

• Positive association

• Negative association

• No association

• Cannot be determined

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.1x + 50.5. How does the slope of the line of fit relate to the association?

• The slope is positive, indicating a positive association.

• The slope is negative, indicating a negative association.

• The slope is zero, indicating no association.

• The slope is undefined.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.1x + 50.5. Interpret the meaning of the slope in context.

• The literacy rate increases by 1.1% for each additional 1 million internet users.

• The literacy rate increases by 50.5% for each additional 1 million internet users.

• The literacy rate decreases by 1.1% for each additional 1 million internet users.

• The literacy rate remains constant regardless of internet usage.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.1x + 50.5. Does the y-intercept of the line make sense in this context?

• Yes, because it represents a realistic scenario.

• No, because it does not make sense for a region to have 0 internet users.