The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 X; Y₁ 2 3 4 5 7 7 7 8 9 45 46 46 9 6 11 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ =
Q: The following data were used in a regression study. Observation 12345678 x₁ Yi 23457778 9 6 55464695…
A: The values of variables x and y are given.The total pair of the number of observations is .
Q: 50 71 55 50 33 58 79 26 y 168 1945 64 38 18 21 51 23 69 44 37 70 20 45 49 y 285 54 187 29 59 201 41…
A: Solution Given
Q: x y 1 10 4 5 5 3.5 7 2 10 1.5 Which description best fits the
A: We have given that data I want to find regression model Y = n + mx Where m = slope , n=…
Q: Here is another set of regression results, for a generic DV called y and a generic N called x…
A: Regression equation is used to predict the value of response variable using the value of explanatory…
Q: The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a…
A:
Q: Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to…
A: magnitude depth 1.7 2.9 1.1 0.8 1.4 1.9 0.7 3.2 0.8 4.3 1.9 4 1.7 6.3 1.9 6.9 1.9…
Q: Consider the following data set. x 16.3 20 23.7 27.4 31.1 y 51.1 69.8 79.3 87.2 98.6 (a) Plot the…
A: The given data set, x 16.3 20 23.7 27.4 31.1 y 51.1 69.8 79.3 87.2 98.6 We have to plot the…
Q: The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8…
A: From the provided information, x y 2 4 3 5 4 4 5 7 7 4 7 6…
Q: The following data were used in a regression study. TIL TI Observation Observation 1 5 2. 2 2 6 3 1…
A: We will use regression analysis in Excel to find equation of regression line.
Q: Consider the following data set. x y 1.1 19.5 1.2 17.1 1.3 16.6 1.4 14.9 1.5 12.2 (a) Plot the…
A: Answer Given X Y X*Y X^2 Y^2 1.1 19.5…
Q: Please view the following attached image and answer the multiple choice question
A: We have given the data set is: We have calculated the intercept using the excel as:
Q: Consider the following data set. x 4.1 5.7 7.3 8.9 10.5 y 7.5 8.3 8.4 8.9 8.9 (a) Plot the data.…
A: We have to given following data x 4.1 5.7 7.3 8.9 10.5 y 7.5 8.3 8.4 8.9 8.9 Formula used…
Q: A department of transportation's study on driving speed and miles per gallon for midsize automobiles…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: The question asked "Calculate the best line of fit using linear regression. Type the equation…
A:
Q: Consider the following data set. x 1 2 3 4 5 y 2.4 2 1.6 1.5 1.4 (a) Plot the data. (b) Find…
A: X Y 1 2.4 2 2 3 1.6 4 1.5 5 1.4
Q: The following data were used in a regression study. Observation 1 2 3 4 567 8 9 2 3 45777| 8 5 4 6 4…
A: Excel Procedure: Enter x and y in Excel>Data>Data Analysis> ‘Regression’>Select y under…
Q: Interpret the slope of the regression equation in the context of the problem (meaning, use language…
A: Given information: The data represents the values of the variables x = items and y = price.
Q: Given the bivariate data below, what are the values of slope and y-intercept of the regression…
A: Given data is x 1 2 3 4 5 6 7 y 4 5 1 6 7 10 7
Q: Here is the complete Excel outpu SUMMARY OUTPUT
A: R2 = 0.5007 Standard error =978.8761 SSreg=53809748.97 SSres = 53659115.74 MSreg=53809748.97…
Q: The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students…
A: Given, The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA…
Q: Consider the following data on price ($) and the overall score for six stereo headphones tested by a…
A: The independent variable is Price. The dependent variable is Score. The given data…
Q: Find the equation of the regression line for the following data set. (Round the values to two…
A:
Q: For a sample of over 160 college students, the following variables were measured: Y = height X1 =…
A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, according to our…
Q: Use StatKey or other technology to find the regression line to predict Y from X using the following…
A: The given table of values,x61041412y35.53.513.510.5The objective is to find the equation of the…
Q: The following data is to be used to construct a regression model: X 5 7 4 15 12 9 Y 8 9 12 26 16 13…
A: From the provided information xy587941215261216913
Q: Ieal Tegiessi equatio ior these data. GMAT 310 290 260 270 340 260 300 310 GPA 3.7 3.1 3.2 3.2 3.8…
A: We have given that data I want to find. Linear Regression equation. Y^= n + m*x
Q: The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a…
A: xyx- x̄ y- ȳ(x- x̄ )(y-…
Q: The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a…
A:
Q: City Room Rate ($) Entertainment ($) Boston 148 161 Denver 96 105 Nashville 91 101 New…
A: The given estimated regression equation is y-hat = 17.49 + 1.0334x and the value of SSE is…
Q: The following table lists the birth weights (in pounds), x and the lengths (in inches), y, for a set…
A: The given data is where x is the weight and y is the length
Q: The following tables show five people’s occupational prestige scores (OPS) and their income (in…
A: Step 1:The OPS occupational prestige scores(X) and Income(Y) of five people is shown.We need to find…
Q: a. It is to use the regression equation to predict the price of a 4-year-old ambulance because the…
A: The provided regression equation is : y = 410.63 - 23.28*x where x = age, y = price
Q: The table below shows the number of state-registered automatic weapons and the murder rate for…
A: X Y X.Y X2 11.8 14.1 166.38 139.24 8.4 11.2 94.08 70.56 6.8 9.9 67.32 46.24 3.6 6.9 24.84…
Q: You are given the following data, where X1 (final percentage in science class) and X2 (number of…
A: In this case, final percentage in science class (X1) and number of absences (X2) are the independent…
Q: The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a…
A: Birth weight (in pounds) x Length (in inches) y 10 21 7 18 7 17 4 16 12 21 7 19 10 22…
Q: The following table contains data regarding golf scores and the average lengths of drives (in yards)…
A: SSE=137.14Explanation:Given:Golf scores, xLength of Drive (in yards), y6826378216732517026569269I…
Q: The following data were used in a regression study. Observation 1 2 3 8 5 6 7 8 9 Xi 2 3 4 5 7 7 7…
A:
Q: Listed below are the heights (cm) of winning presidential candidates and their main opponents from…
A: PresidentOpponent178180177183188188188173191169175173185177183185188175
Q: Run a regression analysis on the following data set, where y is the final grade in a math class and…
A: From given data, X Y X*Y X*X 5 43 215 25 8 71.2 569.6 64 9 71.6 644.4 81 12 72.8 873.6…
Q: The National Football League (NFL) records a variety of performance data for individuals and teams.…
A: The independent variable is Yds/Att The dependent variable is WinPct. This is simple linear…
Q: The following data are the monthly salaries y and the grade point averages x for students who…
A: Given :The estimated regression equation is To find :a ) Pt. estimate for starting mon. salary if…
Given :
Step by step
Solved in 3 steps with 3 images
- Listed below is the multiple regression equation for predicting Y by X₁ through Xs. Y is the number of sales per month. X₁ is the number of sales calls made X2 is the number of hours on the showroom floor X3 is the amount spent on radio ads X is the number of text messages sent Xs is the number of email messages sent Regression Statistics R Square 0.634 Standard Error 7.6796 Observations 45 Intercept X₁ X₂ X3 XA Xs Coefficients Standard Error 6.8163 0.1005 -0.3207 0.2084 0.1221 0.0943 77.1211 1.9439 -11.123 0.1144 11.34 1.23 What is the computed value of the F statistic you would use to test the significance of the entire model? Round your answer to two decimal places.A corporation has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are shown below, and the dependent variable is miles per gallon. Complete parts a and b. Miles 43.3 Horsepower 50 Weight 1985 36.3 67 1885 32.7 51 1990 + ŷ =) ()×₁ + ( )×₂ (Round to four decimal places as needed.) 39.5 72 2090 36 62 1880 19.2 110 3370 19.1 142 3775 20.9 136 3560 19.9 101 3165 a. Prepare a regression equation that uses vehicle horsepower and vehicle weight as independent variables. Let x₁ be defined as horsepower and x₂ be defined as weight. 20.8 94 2720The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8 9 yi 3 5 4 5 4 6 9 6 11 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = ?? (b)Construct a plot of the residuals. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 5 points lie below the line and 4 lie above it. The points tend to become closer to the line as x increases. The approximate locations of the points are: (2, 2.6), (3, −1.6), (4, 2.2), (5, −0.8), (7, −2.8), (7, −0.3), (7, −0.5), (8, 1.3), (9, 0.1). A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There…
- The following is the simple regression results based on the data from Madrigal Corporation: Dependent variable – Machine maintenance costs Independent variable – Machine hours Computed values Intercept P 3,500 Coefficient on independent variable P 3.50 Coefficient of correlation 0.856 R2 0.733 What percentage of the variation in maintenance costs is explained by the independent variable? (use two decimal places, e.g. 82.20%, 55.31% or 0.82, 0.55, these will be counted as correct answers)Consider the following data set, where y is the final grade in a math class and is the average number of hours the student spent working on math each week. hours/week X 6.5 10 11 12.5 13 14.5 15 17.5 19.5 20 Grade y 66.1 63 71.4 72.5 79.2 94.3 95 91.5 100 98 The regression equation is y = 3x + 41.3. a) Explain what the value of the slope means in this situation, where y is the final grade in a math class and is the average number of hours the student spent working on math each week. O For each additional hour per week that a student studies on average, their final grade will be about 3 points. O For each additional hour per week that a student studies on average, their final grade will be about 41.3 points higher. For each additional hour per week that a student studies on average, their final grade will be about 3 points higher. O For each additional hour per week that a student studies on average, their final grade will be about 41.3 points. b) Explain what the value of the…You may need to use the appropriate appendix table or technology to answer this question. The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. Monthly Salary ($) GPA 2.6 3,600 3.4 3,900 3.6 4,300 3.2 3,800 3.5 4,300 2.9 3,900 The estimated regression equation for these data is ŷ = 1,977.48 + 621.62x and MSE = 26,846.85. (a) Develop a point estimate of the starting salary (in dollars) for a student with a GPA of 3.0. (Round your answer to the nearest cent). 2$ (b) Develop a 95% confidence interval for the mean starting salary (in dollars) for all students with a 3.0 GPA. (Round your answers to the nearest cent). $ to $ (c) Develop a 95% prediction interval (in dollars) for Ryan Dailey, a student with a GPA of 3.0. (Round your answers to the nearest cent). $ to $
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. I 11.5 8.2 6.8 3.4 13.6 11.3 9.7 6.8 6.4 2.7 2.9 2.2 0.6 6 6.1 4.6 Y = thousands of automatic weapons y = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 9.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3 thousand automatic weapons? Answer= Round to 3 decimal places. Hint: Textbook Pages C Help -A physician wishes to know whether there is a relationship between a father’s weight (in pounds) and his new born sons’ weight (in pounds). The data are given here Fathers Weight 176 145 187 210 196 142 205 215 152 145 Sons Weight 6.6 8.2 9.2 7.1 8.8 9.3 7.1 8.6 7.8 6.0 Develop the regression equation for the sample Predict the sons weight based on the father’s weight of 300, 250 and 400.The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.3 8.5 y 13.4 7 3.6 2.6 2.2 2.6 0.8 11 10.2 7.4 6 5.7 6.3 4.9 * = thousands of automatic weapons y = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.9 thousand automatic weapons? Answer = Round to 3 decimal places.
- Here is data with y as the response variable. a. Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair, e.g., (x,y). (x, y) b. Find the regression equation for the data set without the outlier. Enter the equation of the form mx + b rounded three decimal places. y wo X 48.4 77.3 88 67.1 108.3 75.9 64.8 -161.3 61.2 67.9 ŷw y 45.7 40.3 27.3 54.5 -63.2 36.3 73.2 96.5 82.2 119.8 = -- c. Find the regression equation for the data set with the outlier. Enter the equation of the form mx + b rounded to three decimal places.26. For the following scores: X 3 5 2 2 4 1 4 Y 8 8 6 3 6 4 7 a. Find the regression equation for predicting Y from X. b. Calculate the predicted Y value for each X.Answer
