In a useful simple linear regression analysis, the independent variable… is used to predict other independent variables is used to predict the dependent variable has no effect on the dependent variable is the variable that is being predicted using the regression equation
Q: Bill wants to explore factors affecting work stress. He would like to examine the relationship…
A:
Q: Use the model to make the appropriate prediction. A sociologist wanted to determine whether there…
A: In this question, we have a regression model equation using which we have to predict the teen…
Q: 1=new medication and 0-standard medicat coded as 1-yes, 0=no. ŷ-53.85-23.54 medication.…
A: Regression of two groups younger than 65 and 65 and more
Q: Observe the point in red in the scatterplot below. Estimate the effect the point would have on a…
A: Two perpendicular axes X and Y respectively represent the values of independent variable and…
Q: ccording to a survey, as reported by The Guardian in 2014, more students now work to fund their…
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: Dr. Woods tested the correlation between insulin in the blood and sugar consumption. She found that…
A: There is no error because correlation was 1.
Q: he term 'simple' in simple linear regression refers to the fact that a. the dependent variable is…
A: The term 'simple' in simple linear regression refers to the fact that
Q: A psychologist collected data on a person's age and the number of hours per week that person spent…
A: Age( Years)x 74 66 63 56 48 47 38 33 25 22 14 Time (hours)y 0 2 4 6 8 10 12 14 16 18 20
Q: A simple linear regression that describes the effect of individuals’ cigarette smoking on health is…
A: Introduction: The regression coefficient depends on the change of scale of the response, as well as…
Q: A box office analyst seeks to predict opening weekend box office gross for movies. Toward this…
A: The independent variable is Online Trailer Views. The dependent variable is Opening Weekend Box…
Q: A) Find the equation of the regression line. Y= B)Construct a scatter plot of the data and draw…
A: a. Regression: The regression analysis is conducted here by using EXCEL. The software procedure is…
Q: A sociologist was hired by a large city hospital to investigate the relationship between thenumber…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: In order for applicants to work for the foreign-service department, they must take a test in the…
A: The objective of this question is to find the equation of the regression line for the given data.…
Q: The resistance of a paper depends on the fiber concentration, the drying time and the cooking…
A:
Q: A regression was run to determine if for a certain baseball season, winning percentage, y, and…
A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…
Q: The electric power consumed each month by a chemical plant is thought to be related to the average…
A: The estimate of the variance error is calculated using the error sum of square and the error degree…
Q: A study was conducted to see if a person's income will affect their well-being. We want to create a…
A: In a study of variables, a cause-and-effect relationship are called as the independent and…
Q: The Federal Reserve uses linear regressions to try to establish a link between the unemployment rate…
A: The question is about regression Given : Slope ( b ) = -8 Intercept ( a ) = 237 To find : Value…
Q: Firstly, I picked up three variables (X1: average temperature in January, X2: average temperature in…
A: Given information: The data represents the values of the variables Y, X1, X2 and X3.
Q: Independent variable data is listed in cells B2 through B100, and dependent variable data is in…
A: The independent variable is listed in cells B2 through B100.
Q: A linear relationship exists between two variables in a linear regression, where one of the…
A: It's wonderful to hear that your business uses linear regression to forecast and make decisions…
Q: A researcher collected statistics on the sales amount of a product in 120 different markets and the…
A: Any regression equation can be written in the form, Y = f(x1, x2,......,xn) + error . Here, y is…
Q: In a linear regression model, the dependent variable is "Final exam score (%) for WPC 300" and the…
A: Dependent variable is Final exam score for WPC 300.Independent variable is Hours studied.Coefficient…
Q: In a study on speed and braking distance, researchers looked for a method to estimate how fast a…
A: MPG ( x) Breaking distance (y) x y x2 y2 20 20 400 400 400 30 45 1350 900 2025 40 81 3240…
Q: a) Display the regression chart. b) Comment on the distance of each data point verses the regression…
A: Given information: The data is given below. x (Population) y (Expenditure) 29 127 435 214…
Q: You believe that more than one variable likely leads to teacher success (Y) and you think that both…
A: a. Excel Procedure: Enter X1, X2, Y in Excel>Data>Data Analysis> ‘Regression’>Select Y…
Q: Research indicates that the weight of cows can be predicted by using measurements of heart girth…
A: According to question, Given linear equation, y = 7.53 x -974.05
Q: Assume the "speed" represents the speed of a vehicle, and "price" represents the price of the…
A: First, we need to plot the data to visualize the relationship between 'speed' and 'price'. This can…
Q: A researcher collected statistics on the sales amount of a product in 120 different markets and the…
A: 1) b) In your opinion, which variable should this researcher choose as an independent variable to…
Q: Researchers used the simple linear regression model to study the relationship between social media…
A: Social media time in hours (x)Quiz results out of…
Q: The table below show data that has been collected from different fields from various farms in a…
A:
Q: A study of king penguins looked for a relationship between how deep the penguins dive to seek food…
A:
Q: The city wants to further develop the model to include the weather conditions of rainy, cloudy, or…
A: Introduction to linear regression analysis:Regression analysis is a collection of statistical…
Q: b. Does there appear to be any relationship between these two variables? There appears to be a -…
A: The step by step procedure to make a scatter plot using Excel is given below: Enter the data into…
Q: real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict…
A: Solution: The estimated regression equation is y^=60+0.068x1-2.5x2 Where y = the market price of a…
Q: A study of king penguins looked for a relationship between how deep the penguins dive to seek food…
A: Given that, A study of king penguins looked for a relationship between how deep the Penguins dive to…
- In a useful simple linear
regression analysis , the independent variable…- is used to predict other independent variables
- is used to predict the dependent variable
- has no effect on the dependent variable
- is the variable that is being predicted using the regression equation
Step by step
Solved in 2 steps
- A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y = b₁x + bowhere y = appraised value of the house (in $thousands) and x = number of rooms. Using data collected for a sample of n=74 houses in East Meadow, the following results were obtained: y=74.80+ 17.80x Give a practical interpretation of the estimate of the slope of the least squares line. For each additional room in the house, we estimate the appraised value to increase $74,800. 1000 For each additional dollar of appraised value, we estimate the number of rooms in the house to increase by 17.80 rooms. For a house with 0 rooms, we estimate the appraised value to be $74,800. For each additional room in the house, we estimate the…The measure of standard error can also be applied to the parameter estimates resulting from linear regressions. For example, consider the following linear regression equation that describes the relationship between education and wage: WAGE; = Bo + B1 EDUC; + e: where WAGE; is the hourly wage of person i (i.e., any specific person) and EDUC; is the number of years of education for that same person. The residual e; encompasses other factors that influence wage, and is assumed to be uncorrelated with education and have a mean of zero. Suppose that after collecting a cross-sectional data set, you run an OLS regression to obtain the following parameter estimates: WAGE; = –11.1+6.2 EDUC; If the standard error of the estimate of B, is 1.34, then the true value of B1 lies between and As the number of observations in a data set grows, you would expect this range to in size.A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a linear regression equation to help plan how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y, for 12 different semesters. These data are below. Show the complete table for your solutions. At a .01 level of significance is there sufficient evidence to conclude that the number of books sold is related to the number of registered students in a straight-line manner? Calculate df:Indicate whether it is a one-tail or two-tail test:Use the table for PEARSON'S CORRELATION COEFFICIENT r (Critical Values):Make a Decision by comparing critical r with the computer Pearson Correlation Coefficient:
- A cafe company wants to determine how the money they spend on Google ads impacts their monthly revenue. Over 6 consecutive months, they vary the amount they spend on their Ads (in $) and record the associated revenue (in $) for each month. The data is shown below: l Revenue 50 427 75 472 100 467 125 529 150 518 175 543 A) Develop a regression equation for predicting monthly revenue based on the amount spent with Ads. What is the y-intercept? B) What is the sample correlation between these two variables? C) What is the slope of your regression equation? Give your answer to two decimal places. D) Using a 0.05 level of significance, does this regression equation appear to have any value for predicting revenue based on Ads?An analyst hired by the multinational company to study the sales data of its more than 75 stores worldwide. Used regression analysis to predict $ sales (y) by using $ advertising (x1) and $ salary of sales representatives (x2) across all the branches. You obtained the following regression function: y = 7800 + 8.5x1-1.6x2. If the advertising budgets of one of the branches of the corporation is now $45,000 (which is 10% more than before) and the salary of sales representatives is now $8,500 (which is 20% less than before), then the predicted sales will a. increase by more than 10% b. increase by less than 10% c. decrease by less than 10% d. be the sameA statistical program is recommended. The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Television Gross Newspaper Advertising Advertising ($1,000s) ($1,000s) Revenue ($1,000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 1 (a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let x₁ represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) y = 88.64 + 1.60x1 X (b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let x₁ represent the amount of television advertising in $1,000s, x₂ represent the amount of…
- A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. A linear regression was performed on these data, and the result is the linear regression equation Yi=−0.840+1.4108Xi. Determine the coefficient of determination,r2,and interpret its meaning. Determine the standard error of the estimate. How useful do you think this regression model is for predicting opening weekend box office gross? Can you think of other variables that might explain the variation in opening weekend box office gross?A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. A linear regression was performed on these data, and the result is the linear regression equation Yi=−1.254+1.3968Xi. Complete parts (a) through (d). a. Determine the coefficient of determination,r2,and interpret its meaning. b. Determine the standard error of the estimate. c. How useful do you think this regression model is for predicting opening weekend box office gross? d. Can you think of other variables that might explain the variation in opening weekend box office gross?Are the years of education of a child dependent on the years of education of their parent? The table shows the number of years of education of parent and the number of years of education of their child. Years of Education of Parent 13 9 7 12 12 10 11 Years of Education of their Child 13 11 7 16 17 9 17 If there is a significant linear correlation between the variables, determine the regression equation. Are the years of education of a child dependent on the years of education of their parent? The table shows the number of years of education of parent and the number of years of education of their child. Years of Education of Parent 13 9 7 12 12 10 11 Years of Education of their Child 13 11 7 16 17 9 17 If there is a significant linear correlation between the variables, determine the regression equation. y’ = 1.5x - 3 There is no significant correlation between the variables,…
- A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled " The relation of dive duration (DD) to depth (D)." Duration DD is measured in minutes and depth D is in meters. The report then says, " The regression equation for this bird is: DD = 2.33 + 0.001 D. (a) What is the slope of the regression line?. ANSWER ? minutes per meter. (b) According to the regression line, how long does a typical dive to a depth of 100 meters last? ANSWER ? minutes.The variable income (yearly) is examined in a regression setting where the predictor variable is lag (1) of income and the following output is produced. a) Write down the regression equation. b) Interpret the meaning of the slope. c) A dummy variable for gender (male=0, female=1) was added to the model. Interpret its coefficient of -0.2.The following table gives the amount spent on cellular service. Date Cellular service revenue(in billions) 2011 1.01 2012 1.05 2013 1.09 2014 1.11 Plot the data points. (Let tbe the number of years since 2011 and C the amount of cellular service revenue, in billions of dollars.) CORRECT (b) Find the equation of the regression line. (Let t be the number of years since 2011 and C the amount of cellular service revenue, in billions of dollars. Round the regression line parameters to three decimal places.) C(t) = C(t) = 0.034t+1.014 CORRECT Add its graph to the plotted data. CORRECT (c) In 2015, $1.14 trillion was spent on cellular service. If you had been a financial strategist in 2014 with only the data in the table above available, what would have been your prediction for the amount spent on cellular service in 2015? (Round your answer to two decimal places.) billion dollars CORRECT…