Increase in sales(percent)An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The followingbivariate data on twelve recent campaigns, including the cost of each campaign (in millions of dollars) and the resulting percentageincrease in sales following the campaign, were presented by the firm. Based on these data, we would compute the least-squaresregression line to be y = 6.16+0.18x, with x representing campaign cost and y representing the resulting percentage increase in sales.(This line is shown below, along with a scatter plot of the data.)Increase in sales, yCampaign cost, x(in millions of dollars)(percent)3.026.917.2+1.926.803.836.856.8-1.406.376.6 -3.126.423.566.826.4-4.066.946.21.646.566-2.066.501.626.181.52.53.56.66Campaign cost(in millions of dollars)2.872.256.61Send data to calculatorBased on the firm's data and the regression line, complete the following.(a) For these data, values for campaign cost that are greater than the mean of the values for Based on the firm's data and the regression line, complete the following.(a) For these data, values for campaign cost that are greater than the mean of the values forcampaign cost tend to be paired with values for percentage increase in sales that are(Choose one)the mean of the values for percentage increase in sales.(b) According to the regression equation, for an increase of one million dollars in advertisingcampaign cost, there is a corresponding increase of how many percent in sales?

d on the firm's data and the regression line, complete the following. (a) For these data, values for campaign cost that are greater than the mean of the values for campaign cost tend to be paired with values for percentage increase in sales that are (Choose one) the mean of the values for percentage increase in sales. (b) According to the regression equation, for an increase of one million dollars in advertising campaign cost, there is a corresponding increase of how many percent in sales?

d on the firm's data and the regression line, complete the following. (a) For these data, values for campaign cost that are greater than the mean of the values for campaign cost tend to be paired with values for percentage increase in sales that are (Choose one) the mean of the values for percentage increase in sales. (b) According to the regression equation, for an increase of one million dollars in advertising campaign cost, there is a corresponding increase of how many percent in sales?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.CR: Review Exercises

Problem 89CR: Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions...

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Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
18. Because ethanol contains less energy than gasoline, a researcher wants to determine if the mileage of a car (y) is affected by the percent ethanol in the gasoline (x). The true population regression line relating the mean mileage y for a given ethanol content x (in percent) is μy|x = β0 + β1x. In a controlled environment, the mileage of a car is recorded when refueled 7 times using between 0% and 10% ethanol. The least squares regression line was found to be yˆ = βˆ0 + βˆ1x = 32.96 − 0.250x. We wish to test H0 : β1 = 0 versus Ha : β1 < 0 at the α = 0.05 significance level (i.e. we want to determine if the addition of ethanol significantly decreases mean gas mileage). What is the p−value for this test? What is your conclusion? Note: s?e(βˆ1) = 0.0485. Which of the following is/are true? (A) In reference to question (18), it would be appropriate to approximate the mean mileage when the car is using 85% ethanol (B) In reference to question (18), a 95% confidence interval for β1…
An electric utility wishes to examine the relationship between temperature and electricity use in its service region during the summer months. The bivariate data below give the maximum temperature (denoted by x, in degrees Fahrenheit) and the electricity use (denoted by y, in thousands of kilowatt hours) for a random sample of fifteen summer days. The data are shown in the Figure 1 scatter plot. The least-squares regression line for these data has a slope of approximately 2.67. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
2. An article in the Tappi Journal (March, 1986) presented data on green liquor Na2S concentration (in grams per liter) and paper machine production (in tons per day). The data (read from a graph) are shown as follows: (a) Fit a simple linear regression model with y green liquor Na2S concentration and x production. Draw a scatter diagram of the data and the resulting least squares fitted model.(b) Find the fitted value of y corresponding to x = 910 and the associated residual.
Test interviews of two personnel evaluation techniques are available, the first requires a two-hour test interview while the second can be completed in less than an hour. The table below is the output of the regression analysis of the 15 individuals who took both tests: a.Using the method of least squares, the estimated regression will be? b.Suppose you must test the hypothesis at 5% significance level that versus using t-test. The value of J will be?