**Regression Analysis Output****Model Equation:** $ Y = aX^bZ^cT^d $The following table presents the computer output from estimating the parameters of the nonlinear regression model:| **Observations:** | 32 ||-------------------|----|| **Dependent Variable:** | LNY || **R-Square:** | 0.7766 || **F-Ratio:** | 32.44 || **P-Value on F:** | 0.0001 || **Variable** | **Parameter Estimate** | **Standard Error** | **T-Ratio** | **P-Value** ||--------------|------------------------|--------------------|-------------|-------------|| Intercept | -0.6931 | 0.32 | -2.17 | 0.0390 || LNR | 4.66 | 1.36 | 3.43 | 0.0019 || LNS | -0.44 | 0.24 | -1.83 | 0.0774 || LNT | 8.28 | 4.60 | 1.80 | 0.0826 |**Based on the information in the table, the estimated value of $ a $ is:****Multiple Choice:**- -0.6931 (selected)- 0.50- -3.67- 2.66**Analysis:**The table shows key statistics for a nonlinear regression model including parameter estimates for the intercept and variables LNR, LNS, and LNT. The R-square value indicates that approximately 77.66% of the variability in the dependent variable $ LNY $ is explained by the model. Each parameter estimate is listed along with its standard error, T-ratio, and P-value to evaluate statistical significance, with a focus on whether each coefficient significantly differs from zero.

Given non linear equation is, Y=aRbScTd But the output is given for the following linear equation,…

Answered: Refer to the following computer output…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We collected teacher ratings for 25 courses taught by an instructor over a six-vear period. The students' ratings of the instructor are on a scale of 1 to 9. We found that The linear regression equation is: Average Rating = 7,88 -0.068 Numher of Students 1. Interpret the slope of this model including units: The average rating decreases per each additional student 0.068 ed teacher rating for a class size of 15 students using the given 7.88 prediction equation is Next page CS Scanned with CamScanner
The Toyota Camry is one of the best-selling cars in North America. The cost of a previously owned Camry depends upon many factors, including the model year, mileage, and condition. To investigate the relationship between the car's mileage and the sales price for a 2007 model year Camry, the following data show the mileage and sale price for 19 sales (PriceHub website). Click on the datafile logo to reference the data. DATA file 1. 18 Price ($1000s) 16 14 12 10 18 6 If your answer is zero, enter "0". a. Select a scatter diagram with the car mileage on the horizontal axis and the price on the vertical axis. 20 40 6,0 8,0 100 Miles (1000s) 120 223 +♡ ♡ Miles(1000s) 29 36 47 63 77 73 87 92 101 110 28 59 68 68 91 42 65 110 Price ($1000s) 16.2 16.0 13.8 11.5 12.5 12.9 11.2 13.0 11.8 10.8 8.3 12.5 11.1 15.0 12.2 13.0 15.6 12.7 8.3
The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.11 + 0.097x. (a.1) What is the true average flow rate for a pressure drop of 10 in.?(a.2) A drop of 15 in.?(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?(c) What is the average change in flow rate when pressure drop decreases by 5 in.?
A researcher records age in years (x) and systolic blood pressure (y) for volunteers. They perform a regression analysis was performed, and a portion of the computer output is as follows: ŷ = 4.5+ 14.4x Coefficients (Intercept) x Estimate 4.5 Ho: B₁ = 0 H₁: B₁ > 0 Ho: B₁ = 0 Ha: B₁ <0 14.4 Ho: B₁ = 0 Ha: B₁ #0 Std. Error Test statistic 2.9 4.7 1.55 3.06 P-value Specify the null and the alternative hypotheses that you would use in order to test whether a linear relationship exists between x and y. 0.07 0
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From the results shown above, write the regression equation.
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B b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between a = average number of passing yar and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the avera passing yards per attempt. Enter negative value as negative number. WinPct =| |)(Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). The slope of the estimated regression line is approximately So, for every increase : of one yar number of passes per attempt, the percentage of games won by the team increases by %. e. For the 2011 season, the average number of passing yards per attempt for the Kansas City Chiefs was was 5.5. Use th regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs.…
A simple linear regression model was created to examine the relationship between the age of patients in years (i.e. the independent variable) and the patients' scores on a questionnaire that measures quality of life (i.e. the dependent variable). There were n=20 patients in the study, and some of the results of the regression are presented below: Estimated slope = -0.64 Standard error of the slope = 0.52 Estimated intercept = 42.0 Standard error of the intercept = 13.6 Based on these results, what would be the expected quality of life score for a patient who is 30 years old? Question 3 options: 61.2 22.8 1260.64 29.2

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Refer to the following computer output from estimating the parameters of the nonlinear model Y=aRD SCT The computer output from the regression analysis is: DEPENDENT VARIABLE: OBSERVATIONS: LNY R-SQUARE 32 0.7766 F-RATIO 32.44 P-VALUE ON F 0.0001