d) Using the output in Figure 4, determine the estimated least squares regression equation that represents the relationship between Cost (y) and number of passengers (x)? e) Use the regression equation from (d) to estimate the Cost when number of passengers are 80 and comment on the usefulness of this prediction UMMARY OUTPUT
Q: Below is some of the regression output from a regression of the amount rental houses on an island…
A: Given Area of House=3900 square foot Find How much more (or less) does a 3900 square foot house that…
Q: Compute the least-squares regression line for predicting U.S. emissions from non-U.S. emissions.…
A:
Q: Use the pizza cost and the subway fare in the table below to find the regression equation, letting…
A: We have to use ( pizza cost and the subway fare ) from the table : N = 10 X (pizz cost) : {…
Q: Below is some of the regression output from a regression of the amount rental houses on an island…
A: the estimated equation is, Price = 1474 + 0.31*Size + 1885*View + 0.10*(Size*View) #for size = 3900,…
Q: A researcher wishes to examine the relationship between years of schooling completed and the number…
A: Correct answer is When amount of schooling increases by one year, the number of pregnancies…
Q: A researcher wishes to examine the relationship between years of schooling completed and the number…
A: y^ =β0 + (β1)x Interpretation of slope: By increasing a unit in x, there is on an average β1 unit…
Q: Data is collected on teacher salary (measured in 1000’s of $’s) and years of service, rating by the…
A: Given Data is collected on teacher salary (measured in 1000’s of $’s) and years of service, rating…
Q: c) If a country increases its life expectancy, the happiness index will decrease increase (d) If…
A: The correlation and regression are used for the Bivariate data, which means there should be two…
Q: A simple linear regression model between income and expense established and the estimation of the…
A: In theory of statistics, dependent variable is the response variable, where the variation of the…
Q: or major league baseball teams, do higher player payrolls mean more gate money? Here are data for…
A: Given data, The regression equation for the line is y=5.91+0.34x.
Q: b. What does the scatter diagram developed in part (a) indicate about the relationship between the…
A: Given data: Yds/Att WinPct 7.5 79 6.8 60 7.5 69 6.1 43 5.3 38 5.7 42 6.6 56 6.1…
Q: Compute for the necessary linear regressions based on the given data. (can use Excel or Minitab for…
A: When we want to predict the value of one variable, say y, from the given value of another variable,…
Q: Consider a multiple regression model for predicting the total number of runs scored by a Major…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: (d) If the life expectancy is increased by 4 years in a certain country, how much will the happiness…
A: Provided information is ; regression line is y^ = a + b x where ; y = happiness index…
Q: researcher wishes to examine the relationship between years of schooling completed and the number of…
A: Let the independent variable X be the number of years of schooling completed Let the dependent…
Q: The results of the simple linear regression are provided below. Based on results below, interpret…
A: It is given that X : sales revenue, Y = service charge, P-value(two-tailed) = 0.034
Q: A least squares regression line was calculated to relate the length (cm) of newborn boys to their…
A: It is needed to find the residual.
Q: The model equation suggested in the paper is y- -183.560 + 1.589x, + 0.069x, + e. (a) Based on this…
A: The regression equation is given by Y = -183.560 + 1.589x1 + 0.069x2 + e
Q: Q2. A random sample of eight drivers insured with a company and having similar auto insurance…
A: Q.2 In the given information, the data of number of driving violations and monthly auto insurance…
Q: A study of the mail survey response rate patterns of people aged 60-90 found a prediction equation…
A:
Q: Creating the app, they collected sample data and developed the following regression equation: where…
A: Given y = - 8.825 + 20.486x_{1} + 0.56x_{2} + 1.02x_{3}
Q: A researcher wishes to examine the relationship between years of schooling completed and the number…
A:
Q: Sales of a particular product for the years 2017 through 2020 have been 45,332, 61,076, 59,547 and…
A: Given: x y 1 45332 2 61076 3 59547 4 77795
Q: A study was done to look at the relationship between number of movies people watch at the theater…
A:
Q: Over a period of ten years, the number of times a certain individual has visited New York each year…
A:
Q: Assume that you want to predict Company Performance based on the linear effects of Trust and…
A: Company performance is the dependent variable and Trust among employees and Commitment of employees…
Q: The scatterplot below summarizes husbands’ and wives’ heights in a random sample of 170 married…
A: From the given output, the intercept value is 43.5755 and the slope value is 0.2863.
Q: Below is the result of running linear regression in R. The least-squares regression equation is…
A: 29. From the given regression model, The independent variable is Variable_W Dependent variable:…
Q: The least squares regression line for a set of data is calculated to be y = 24.8 + 3.41x. (a) One of…
A: Linear Regression: Understand the concept of linear regression, which is a statistical method used…
Q: The United States gross national product, in trillions of dollars, is given in the table below. Date…
A: The table for United states gross national product, in trillion of dollars is shown Year Gross…
Q: Develop a multiple regression equation for starting salaries using School Ranking, GPA, and…
A: Given variables are salaries, school _ranking, gpa and experience.
Q: Suppose the manager of a gas station monitors how many bags of ice he sells daily along with…
A: The least squares regression line for the data is Y^=-151.05+2.65X. It is given that on one of the…
Q: A regression line was calculated to relate the length (cm) of newborn boys to their weight in kg.…
A: Given : weight = -5.94 + 0.1875 ×length. slop = 0.1875 intercept = -5.94 length is predictor and…
Q: Find the equation of the regression line using the method of least squares write your solution…
A: The objective is to find the equation of the regression line using the method of least squares:
Q: A study was conducted to assess the relationship between students’s score in final exam (y) and…
A: Given: X : number of hours spent for exam in each day, Y : students’ score in final exam.
Q: A representative sample of 190 students resulted in a regression equation between y = left hand…
A: Given A representative sample of 190 students resulted in a regression equation between y = left…
Q: on results below, interpret the estimate of A, the Y intercept of the line.
A: The large national bank charges local companies for using their services. A bank official reported…
Q: 1. [from old exam] Family background affects many economic decisions, including investment in edu-…
A: Solution: From the given information, the regression equation is
Q: least squares regression line was calculated to relate the length (cm) of newborn boys to their…
A: Given weight=−5.82+0.1601 length. A newborn was 48 cm long weighed 3 kg.
Q: using excel spreadsheet , find the linear least squares regression equation let x=time in years…
A: Step-by-step procedure to find the regression line using Excel: In Excel sheet, enter X and Y in…
Q: The authors of the paper "Power-Load Prediction Based on Multiple Linear Regression Model"t were…
A: Multiple regression model is used to predict the average value of response variable using the value…
Q: A regression was run to determine if there is a relationship between the happiness index (y) and…
A: a. Write the equation of the Least Squares Regression line. Given : y=a+bx ; a=-0.423 ,b=0.07…
Q: To determine if the listing price of a house influences the selling price; a financial analyst…
A: It is given that Total observations, n = 50 No. of parameters, k = 2 SSR = 25818.5 SSE = 1341
Step by step
Solved in 2 steps with 2 images
- Suppose that the regression model is defined as: y=B1x+u Use the least squares method to estimate the slope of the regression line. Define the objective function that will be used in the estimation. Lastly, enumerate the steps in deriving the estimator of B1The maintenance manager at a trucking company wants to build a regression model to forecast the time (in years) until the first engine overhaul based on four predictor variables: (1) annual miles driven (in 1,000s of miles), (2) average load weight (in tons), (3) average driving speed (in mph), and (4) oil change interval (in 1,000s of miles). Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks. A portion of the data is shown in the accompanying table. Time Miles Load Speed Oil 7.7 42.9 22.0 44.0 16.0 0.8 98.3 20.0 47.0 34.0 6.3 61.1 22.0 62.0 15.0 E Click here for the Excel Data File b. Estimate the regression model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Time = Miles Load Speed oil + + d. What is the predicted time before the first engine overhaul for a particular truck driven 60,000 miles per year with an average load of 25 tons, an average driving speed of 53 mph, and 21,000 miles…A researcher collected statistics on the sales amount of a product in 120 different markets and the advertising budgets used in TV, radio and newspaper media channels for each of these markets. The sales amount are expressed in 1000 units, and the budgets are expressed in 1000 $. The researcher wants to create a simple linear regression model by choosing one among the TV, radio and newspaper advertising budgets to explain the amount of sales.a) Which variable should this researcher choose as an independent variable to the simple regression model? Explain your decision by providing its statistical basis.(use formula)b) Construct the simple linear regression model using the argument you chose and write the equation of the model. Comment b0 and b1.(not excel use formula please)c) Test whether there is a statistically significant, linear relationship between the independent variable and the dependent variable by establishing the relevant hypotheses at the level of α = 0.05 significance.…
- Please show work in excel Stars Co. wants to advertise its products in the hope that more advertising will result in more sales. The following data have been collected in the past year showing money spent on advertising in a month and sales on the same month: a) Develop a regression equation to forecast the Sales as a function of the Advertising by drawing a scatter chart in Excel. b) Suppose that the company would like to advertise in the amount of 30 thousands. Estimate the Sales in response to this amount of advertising. Month Sales (Thousands) Advertising (Thousands) Jan 1200 30 Feb 1100 25 March 1220 32 April 990 23 May 1190 31 June 1050 24 July 770 22 Aug 1080 28 Sept 1220 33 Oct 1140 25 Nov 740 19 Dec 790 20A market study found that the sales for a firm were related to advertising expenditure, as follows: Advertising Expenditure (Kshs ‘000’) Sales (Kshs ‘000’) 0 13 1 16 2 14 3 22 4 17 5 21 6 26 Required Draw a scatter diagram with the line of best fit to show the relationship. Determine the regression line equation for estimating the sales for a given level of advertising expenditure What is the estimated sale in thousand, if no advertising expenditure is incurred?An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. ∑ X = 30 ∑ X 2 = 104 ∑ Y = 40 ∑ Y 2 = 178 ∑ XY = 134 Using the simple linear regression model, find the estimated y-intercept and slope and write the equation of the least squares regression line.
- A recent study showed that the hours a person exercised in a week affected the individual'sresting heart rate. It was computed that r = -.68 and the least squares regression line was?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate. d. What percentage of variability in resting heart rate can be explained by variability inhours exercised?I need help with number 14, please.Please answer as many as your allowed too. Thank you :) A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: ˆyy^=a+bxa=-1.68b=0.168 (a) Write the equation of the Least Squares Regression line of the formˆyy^= + x(b) Which is a possible value for the correlation coefficient, rr? -1.417 1.417 0.702 -0.702 (c) If a country increases its life expectancy, the happiness index will increase decrease (d) If the life expectancy is increased by 0.5 years in a certain country, how much will the happiness index change? Round to two decimal places.(e) Use the regression line to predict the happiness index of a country with a life expectancy of 69 years. Round to two decimal places.
- A company that manufactures computer chips wants to use a multiple regression model to study the effect that 3 different variables have on y, the total daily production cost (in thousands of dollars). Let B,, B,, and B, denote the coefficients of the 3 variables in this model. Using 22 observations on each of the variables, the software program used to find the estimated regression model reports that the total sum of squares (SST) is 485.84 and the regression sum of squares (SSR) is 229.91. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily production costs? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis H, for the test. Note that the alternative hypothesis H, is given. H, :0 H, : at least one of the independent variables is useful…Construct the equation of the regression line. An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line. Number of Pages, x 7 12 4 14 25 30 Cost, y 128 213 75 250 446 540 a.) y^= 17.9(x) + 1.6 b.) y^= 7.1(x) + 15.4 c.) y^= 15.4(x) + 7.1 d.) y^= 1.6(x) +Show the best fitted line on scatter diagram and Find the predicted value for each y using the exposure time and the equation obtained in part b (b. Find the equation of regression line between radiation doses on exposure time .usingleast square method)