STA 215: Intro to Applied Statistics

Topic: Linear Regression

Question 1. Data was collected on height and shoe size of 408 students. The linear correlation was r=0.871. Interpret what the linear correlation means. Choose the correct option

a. Strong negative association

b. 87.1% of the variability of height can be explained by shoe size

c. There is a cause-and-effect relationship.

d. Strong positive association

Question 2. Data was collected on height and shoe size of 408 students. The linear correlation was r=0.871. A friend of yours sees this correlation and says "This is great. I can increase my height by buying bigger shoes." Explain the fallacy in your friend's reasoning. Choose the correct option.

a. Correlation does not imply causation. This means buying bigger shoes does not cause your height to increase.

b. There is no fallacy here. If you buy bigger shoes, you obviouslygrow in height.

Question 3.

Viper Weight (g) Scatterplot of Viper Length and Weight 64 85 66 67 Viper Length (cm) Viper Weight (g) Scatterplot of Viper Length and Weight 64 85 66 67 Viper Length (cm) Viper Weight (g) Scatterplot of Viper Length and Weight 64 85 66 67 Viper Length (cm) Viper Weight (g) Scatterplot of Viper Length and Weight 64 85 66 67 Viper Length (cm) Viper Weight (g) Scatterplot of Viper Length and Weight 64 85 66 67 Viper Length (cm) \f