A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected employees. The least-squares regression equation for predicting their current salary from their beginning salary is ŷ = -2532.7 + 2.12x. Kathy Jones started working for the company earning $19,000. She currently earns $40,000. What is the residual for Ms. Jones? $37,747.30 -$63, 267.30 - $2, 252.70 $2, 252.70
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- To determine the effectiveness of group study sessions, a college instructor gathers data on hours of attendance and exam scores for students in the class. Which variable, hours of attendance or exam scores, would be the response variable for a least-squares regression equation? is it hours of attendance or exam scores?An engineer wants to determine how the weight of a gas-powered car, x, affects the gas mileage, y. Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why and why not?A pediatrician wants to determine the relationship that exists between achild’s height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and conducts the least-squares regression analysis with the simple linear model using StatCrunch. The output is given below: (a) Write down the equation of the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. Assume that the regression model is applicable.(d) It is observed that one child who is 25 inches tall has a head circumference of 17.5 inches. Is the observed value above or below average among all children with heights of 25 inches?
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- In a study, researchers are investigating the link between the distance a person lives from a grocery store (the explanatory variable, in miles) and their life expectancy (the response variable, in years). From their data, they calculate a least squares regression line y^= 79.6 - 0.8x What is the predicted life expectancy for a person who lives 3.7 miles away from a grocery store, according to this equation? Round your answer to 2 decimal places!!A recent campus bookstore survey sought to determine if there is a relationship between new textbook prices y (dollars) and the number of pages in the book x. The resulting least-squares regression line for the study is y = 38.04 + 0.12x. What is the predicted price when the number of pages is 75? Enter your answer as a dollar.A financial analyst is examining the relationship between stock prices and earnings per share. She chooses publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year, and y denoting the current stock price (both in dollars). Based on these data, she computes the least-squares regression line to be =y+−0.2130.046x. This line, along with a scatter plot of her data, is shown below. Based on the sample data and the regression line, complete the following. (a)For these data, current stock prices that are less than the mean of the current stock prices tend to be paired with values for earnings per share that are ▼(Choose one) the mean of the values for earnings per share. (b)According to the regression equation, for an increase of one dollar in earnings per share, there is a…