Mark the following statement as true or false. “if you change the units of one of the variables, the value of correlation will increase or decrease. “

Below is the output from a simple linear regression model to predict internet users per country in 2024 based on 2020.  (FREE DATA FROM WORLD BANK VIA GAPMINDER.ORGLinks to an external site., CC-BY LICENSE) Interpret R-squared. 

q09.png Consider the figure below. Which of the following congruence statements is appropriate?

The GINI is a measure of inequality in a society. A higher number means that there is more inequality in a society. A scatterplot of the GINI score for 1900y) compared to 1850(x) for 195 countries was made. (Data from the Gapminder website.)   Describe the scatterplot by matching the descriptions below. 

The GINI is a measure of inequality in a society. A higher number means that there is more inequality in a society. A scatterplot of the GINI score for 2018(y) compared to 2000(x) for 195 countries was made. (Data from the Gapminder website.)   Describe the scatterplot by matching the descriptions below. 

q31.png The following figure shows two similar right triangles, drawn to scale. Find the values of x and y.

A car enthusiast was interested in studying cars from 1974. He collected data out of a 1974 US edition of Motor Trend magazine. He computed a simple linear regression equation to predict the miles per gallon (mpg) of an automobile based on the horsepower (hp). Interpret the slope (if applicable).  

q10.png Consider the figure below. Which of the following congruence statements is appropriate?

A 95% confidence interval for the slope is (0.70, 1.19). What can be concluded?

A simple linear regression equation was created to predict internet use per country in 2024 based on 2015.  The model was yhat = 36.42+0.75x.  The 95% confidence interval for Bulgaria was (76.9, 78.88).  Interpret the confidence interval.