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 =
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- Please help me with 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. GPA 2.6 3.4 3.6 3.2 3.5 2.9 Monthly Salary ($) 3,500 3,900 4,200 3,800 4,200 3,900 The estimated regression equation for these data is ý = 1,970.72 + 608.11x and MSE = 18,671.17. (a) Develop a point estimate of the starting salary (in dollars) for a student with a GPA of 3.1. (Round your answer to the nearest cent). (b) Develop a 95% confidence interval for the mean starting salary (in dollars) for all students with a 3.1 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 3.1. (Round your answers to the nearest cent). to $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)
- 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.
