Least Squares Regression Assignment 2 Answer each question as best as possible. For multiple choice questions, please choose the best answer. Use this as necessary: Chloe surveyed students in her class about the numbers of text messages they sent and received the previous day. An approximate least-squares egression line was used to predict the number of text messages received from a given number of text messages sent. g s Text messages received 10 20 30 40 50 60 70 80 1.) Text messages sent Interpret the residual for the student indicated in the scatterplot above. Choose 1 answer A This student received 20 more text messages than predicted based on the number of text messages sent. This student received 20 fewer text messages than predicted based on the number of text messages sent. This student sent 20 more text messages than predicted based on the number of text messages received. This student sent 20 fewer text messages than predicted based on the number of text messages received. Joe sells used cars. He recorded the age (in years) of each car on his lot along with the number of kilometers it had been driven. After plotting his results, Joe noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting distance driven from the age of the car: y = 11,000 + 18,000x What is the residual of a car that is 2 years old and has been driven 2.) 50,000 km? Joe sells used cars. He recorded the age (in years) of each car on his lot along with the number of kilometers it had been driven. After plotting his results, Joe noticed that the relationship between the two variables was fairly linear, so he used the data to calculate th e following least squares egression equation for predicting distance driven from the age of the car: 4 = 13, 000 + 20,000 x What is the residual of a car that is 2 years old and has been driven 3.) 50,000 km? Noah tested several men of different ages to see how many push ups they could complete in a row without resting. An approximate least-squares regression line was used to predict the number of push ups from a given age of man. Number of push ups 10 20 30 40 4.) Age (years) Interpret the residual for the man indicated in the scatterplot above. Choose 1 answer: This man was 10 years older than predicted based on the number of push ups he completed. This man was 10 years younger than predicted based on the number of push ups he completed. This man completed 10 more push ups than predicted based on his age. This man completed 10 fewer push ups than predicted based on his age. An environmental activist wants to look at the relationship between number of incentive actions taken by the government and the percent share that electric cars make up of overall new vehicle sale in several metropolitan areas, The data show a linear pattern with the summary statistics shown below: mean standard deviation I = number of incentive actions 2 = 12.2 82 - 5.2 = electric vehicle share of new vehicle sales (percent) y =1.1 Sy = 1.3 r = 0.65 Find the equation of the least-squares regression line for predicting the electrical vehicle share of new vehicle sales from the number of incentive actions the government takes. 5.) Round to One decimal place