Provide justification for your answer. 1) The least squares method for determining the best fit minimizes: a. total variation in the dependent variable b. sum of squares for error c. sum of squares for regression d. All of these choices are true.

Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. I need help with (d) (e) and (f)

A student is preparing to take a stand allies exam she was told that she needs to get plenty of sleep the night before the exam she is interested in the relationship between the number of hours of sleep a student gets her for an exam and the score earned on the exam. She collects information from 10 other students who have already taken the exam as shown on the table. she fits at least squares regression line to the data and determines the equation of the line is why equals 26-0.18 X where why is the score earn on the exam and ask is the number of hours of sleep the night before the exam. The residual is given. based on the residual plot is the linear model appropriate? no, there is no clear pattern in the residual plot. yes, there is no clear pattern in the residual plot. no, the student who got the most you've had a negative residual  yes, there are more negative residuals (6) then positive residuals (4)

A horizontal least squares regression line, implies that: Select one: a. The slope of the regression equation is 0 * b. None of the above is correct O c. The slope of the regression equation is positive d. The slope of the regression equation is negative

determine whether the statement is true or false. If the statement is false, rewrite it as a true statement. The y-intercept b0 of a least-squares regression line has a useful interpretation only if the x-values are either all positive or all negative.

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 1 2 5 6 y 48 41 33 26 Find the equation of the least-squares line  = a + bx. (Round your answers to four decimal places.)   =  +  x

Ap Stats

Show necessary calculation/justification for each answer.  a) In regression analysis, the residuals represent the:a. difference between the actual y values and their predicted values.b. difference between the actual x values and their predicted values.c. square root of the slope of the regression line.d. change in y per unit change in x. b) The least squares method for determining the best fit minimizes:a. total variation in the dependent variableb. sum of squares for errorc. sum of squares for regressiond. All of these choices are true. c) The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:a. 7b. 15c. 8d. 22

Enterprise Industries produces Fresh, a brand of liquid laundry detergent. In order to study the relationship between price and demand for the large bottle of Fresh, the company has gathered data concerning demand for Fresh over the last 30 sales periods (each sales period is four weeks). Here, for each sales period, Run the regression Model in Excel. Copy and paste entire output below. Find the least squares point estimates b0 and b1 on the computer output and report their values. Interpret b0 and b1. Write down the regression equation At x=0.3, what is the residual? Find correlation coefficient. Negative or positive association? Find R2. Interpret the result.