An online shopping website collected data regarding its operations and obtained the following linear regression model for the estimated revenue in millions, the hat notation Y , based on the click-through rate in thousands, x. What is the best interpretation of the value of the estimated slope of 0.2? Select one. When there are no clicks on the website, the estimated revenue is $0.2 million. The estimated change in revenue for each additional thousand clicks is $0.2 million. Every click on the website causes $0.2 million more revenue. The estimated change in the click-through rate is 0.2 thousand for each for each one million in revenue.

An online shopping website collected data regarding its operations and obtained the following linear regression model for the estimated revenue in millions, the hat notation Y , based on the click-through rate in thousands, x. What is the best interpretation of the value of the estimated slope of 0.2? Select one. When there are no clicks on the website, the estimated revenue is $0.2 million. The estimated change in revenue for each additional thousand clicks is $0.2 million. Every click on the website causes $0.2 million more revenue. The estimated change in the click-through rate is 0.2 thousand for each for each one million in revenue.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following table shows Amazon's approximate net sales and operating expenses in 2011-2014. a. Use this information to find a linear regression model for Amazon's operating expense E (in billions of dollars) as a function of net sales S (in billions of dollars). Plot the data a regression line. b. Give the units of measurement and interpretation of the slope. c. What according to the model, would Amazon need to earn in net sales for its operating expenses to be $5 billion? Round to nearest billion. d. Based on the graph, would you say the linear model is reasonable?
The following table compares the length of a rhinoceros horn (in inches) to its body length (in inches). Use linear regression to find the equation for the line that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y=mx+by=mx+b x 35 38 41 44 47 50 53 y 111 121 132 133 137 146 157
(d) Interpret the meaning of the slope of the regression line.
A doctor wanted to determine whether there is a relation between a male’s age and his HDL (so-called good cholesterol). He randomly selected 9 of his patients and determined their HDL cholesterol. The data is reported in the table below: a) Compute the regression equation for HDL as a function of age. b)Interpret the meaning of the regression parameters.
The following multiple linear regression depicts the sales of Unilever Corporation: S = 10- 0.20P + 0.06TA + 0.08RA Where:S: Sales (Unit);P: Price ($/Unit);TA: Television advertising ($)RA: Radio advertising ($). 1. Interpret the slopes;2. Is television advertising more effective than radio advertising? Why or why not?3. What is the effect of a $1 increase in price, a $3 increase in TV advertising, and a $2decrease in radio advertising on sales?4. What is the effect of a $2 decrease in price, a $2 decrease in TV advertising, and a $4increase in radio advertising on sales?
Q8The manager of IT department at a large government agency is investigating the relationship between the age of a PC in years (x) and its monthly maintenance cost (in Dhs). He conducted a regression analysis on a sample of 60 PCs (range from new to 10 years old) and reported the regression equation as y with hat on top equals 110 plus 20 space x Which of the following is the correct interpretation of the slope? For every additional year of age, the monthly maintenance costs increase on average by 110 Dhs. The slope is meaningless in this case. For every additional year of age, the expected monthly maintenance cost of PCs increases by 20 Dhs. The expected monthly maintenance cost of a new PC is 110 Dhs.
Chris collects personal data on coffee consumption x (in cups) and the following night's sleep y (in hours). Fitting a linear regression to the data, Chris learns that the slope is -0.43. One evening Chris uses his regression and predicts 6.47 hours of sleep. Then Chris remembers that his "coffee count" was off in making this estimate; Chris drank in an atypical additional 2 cups of coffee over lunch break. What should Chris' predicted sleep be (in hours)? Answer to the nearest 0.01 hours. (There is insufficient information here to produce the equation of the least squares line. You may need to look back in the course notes to find out how the slope is interpreted, and how that can be used to solve this problem.)
For a linear regression b1 is the estimated y-intercept, and b0is the estimated slope of the regression line. True or False
7- Two continuous-time WSS zero mean random processes X(t) and Y(t) are uncorrelated, which means that E[X(t₁)Y(t₂)] = 0 for all të and t₂. Is the sum random process Z(t) = 2X(t) + 3Y (t) also WSS, and if so, what is its ACF and PSD?
You run a linear regression to predict BMI (body mass index) from average minutes of physical activity per day. You calculate the slope of the regression to be -.054. Interpret the slope in terms of the independent and dependent variables.
A park has kept the number of visitors since its opening in January. For the first six months of the year, the following numbers were recorded: Month Number of visitors Month Number of visitors January 133 April 640 February 183 May 1,879 March 285 June 2,550 Estimate the intercept and slope of the linear regression equation for forecasting the numbers of visitors. What are the forecasts for July through December of the year using the regression equation? The numbers of visitors to the park were 2,150 in July, and 2,660. Use Holt’s method with α=0.15 and β= 0.10 to find the one-step-ahead and two-step-ahead forecasts for September and October, respectively.
The relationship between number of TikToks watched while studying and average grade on an exam is defined by the following linear regression equation: Ŷ= -0.3X + 70 Interpret the equation by answering the following: a. What is the slope? b. What does the slope tell us in this example?

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	When there are no clicks on the website, the estimated revenue is $0.2 million.
	The estimated change in revenue for each additional thousand clicks is $0.2 million.
	Every click on the website causes $0.2 million more revenue.
	The estimated change in the click-through rate is 0.2 thousand for each for each one million in revenue.