A)What is the value of the correlation coefficient?
B)What is the value of the coefficient of determination?
C)When finding the least-squares regression for this line, what is the slope?
D)When finding the least-squares regression for this line, what is the y-intercept?
E)Give the equation for the least-squares regression line.
F)Interpret the slope for this equation.
G)Is it reasonable to give an interpretation of your y-intercept? If yes, please give one. If not, explain why.
A)
value of the correlation coefficient =-0.8648
b)
value of the coefficient of determination=r2 =0.7478
c)
slope =-12.9193
d)
y-intercept =162.7077
e)
equation for the least-squares regression line :Yhat=162.7077+(-12.9193)*x
f)
here slope tells us that for 1 unit increase in ticket price ; sale of tickets decreased by 1291.93 tickets on average
g)
it is not reasonable as ticket price can not go down to 0 ; and intercept is the value for ticket value to be 0.
A)What is the value of the correlation coefficient? B)What is the value of the coefficient of...
ides to examine how ticket price impacts attendance. They examined the price per ticket and the amount of tickets sold. The table below shows the results. (Note that the second two columns say "continued" to denote that there are only two variables worth of data) Theater Attendance Data cket Price (in ollars) Tickets Sold (in undreds) 45 cket Price continued) ickets Sold continued) 25 10.50 43 12 50 19 45 Step 2 of 8: What is the value of the...
correlation and regression
210 Statistics EXTRA CREDIT Correlation and Regression Formulas written Assignment 1. Follow the instructions below to calculate the correlation coefficient and least squares regression line for the data set below. Z 22,- The sample means and sample standard deviations for the two variables are listed below: X = 4 x = 2 3 =5 Sy = 1 The linear correlation coefficient is = 52. Calculate this correlation coefficient using the steps below: (a) First, complete the columns...
7) Compute the least-squares regression equation for the given data set. Use a TI- 84 calculator. Round the slope and y -intercept to at least four decimal places. x 44 38 16 20 25 38 19 y 73 68 24 30 43 66 33 Send data to Excel Regression line equation: = y 8) Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month...
Given the following information, what predicted value for x = 4 would the least squares regression line give? The least squares estimates of the y-intercept and slope are 27.6 and 7.8, respectively. х у 2 35 5 55 4 60 3 65 б 79 o 7.8 27.б оооо o58.8 о 60 Given the following information, what F statistic would you get when testing the least squares regression line? x y 2 45 5 65 4 70 3 75 6 89...
a) Obtain the equation of the least squares line.
b) Calculate the coefficient of determination.
c) Calculate an estimate of the error standard deviation
(sigma) in the simple linear regression model.
Your T For the past decade, rubber powder has been used In asphalt cement to improve performance. An article Includes a (MPa) on x - cube strength (MPa) based on the following sample data regression of y-axial strength x112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 y|...
Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62, 58, 55, 47, 33 B) Find the equation of the line containing the points (50, 58) and (80, 33) y=__x+(__) D) By hand, determine the least-squares regression line The equation of the least-squares regression line is given by ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0 where b1 equals r times StartFraction s Subscript y Over s Subscript x EndFractionb1=r•sysx is...
Please explain in detail and provide answers
Linear Regression & Correlation Coefficient Practice Would you consider the data to be accurate, precise or both? Justify. 1. 10 T 2. The table below shows the percentage of females in the U.S. labor force at various times throughout history Years after 1900 | 50 Percentage | 60 T70- T80-T90 8.1 42.5 45.3 100 52.0 Enter the data into your calculator or excel and give the equation. Round slope & y-intercept to 2...
we use the form y a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in...
In Professor Friedman's economics course the correlation between
the students' total scores before the final examination and their
final examination scores is r = 0.52. The pre-exam totals
for all students in the course have mean 276 and standard deviation
21. The final exam scores have mean 50 and standard deviation 9.
Professor Friedman has lost Julie's final exam but knows that her
total before the exam was 318. He decides to predict Julie's final
exam score from her pre-exam...