Write your complete solutions and box your answers.Regression methods were used to analyze the datafrom a study investigating the relationship between roadwaysurface temperature (x) and pavement deflection (y). Summaryquantities weren = 20, Σy = 12.75, Σy = 8.86, Σx; = 1478,Σx = 143,215.8, and Σ.xy = 1083.67.Find a 99% confidence interval on each of the following:(a) Slope(b)Intercept(c) mean deflection when temperature x = 85°F

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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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Given the following details about a multiple regression model based on a sample of 19 observations : bo = 17, b, = 4, b2 = -3, b3 = 8, Sum of squares due to error =177,and Sum of squares due to regression = 850 Find the mean square error (MSE): Select one: O a. 60.71 Ob. 12.64 Oc. 56.67 Od. 11.80
If a p-value reported in the Excel linear regression output associated with a particular variable is 0.007, the confidence interval for the related regression coefficient includes the zero value at: Oa. both the 90% and 95% confidence levels. O b. none of the answers provided Oc. the 95% confidence level. Od. the 99% confidence level. Oe. the 90% confidence level. Clear my choice
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 95 mm Hg. Use a significance level of 0.05 Right Arm 103 102 94 79 80 D Left Arm 176 170 144 146 145 : Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y= +x (Round to one decimal place as needed.) ater/ Enter your ahswer in the edit fields and then click Check Answer
A diabetic person is interested in determining how the amount of aerobic exercise impacts his blood sugar. When blood sugar reaches 170 mg/dl, he goes out for a run at a pace of 10 minutes per mile. On different days, he runs different distances and measures his blood sugar after completing his run. The preferred blood sugar level is in the range of 80 to120 mg/dl. Levels that are too low or too high are extremely dangerous. The data generated are given in the following table: Distance (miles),x Blood sugar(mg/dl gram),y 2 136 2 146 2.5 131 2.5 125 3 120 3 116 3.5 104 3.5 95 4 85 4 94 4.5 83 4.5 75 Based on the scenario above, analyse the data with appropriate statistical methods and describe your findings in details. Use alpha=0.05 [note: use hypothesis, test statistics confidence interval etc.] ]
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude Temperature a. Find the explained variation. (Round to two decimal places as needed.) 2 55 8 40 13 25 20 - 3 28 - 26 31 - 41 34 - 53
The regression line for a set of data will have little meaning unless: Select one: a. the correlation coefficient is significant. b. the slope of the regression line is zero. c. the standard deviation of errors is zero. d. there are at least 30 data points chosen.
In this question, we investigate the relationship between the top (maximum) speed (mph) and maximum height for a random sample of roller coasters in the United States. Here is the scatterplot and a summary of the simple linear regression model. Construct a 95% confidence interval for the true slope of the regression line and interpret your confidence interval in context.
Question 2: In order to determine the miles per gallon rating for a new midsize minivan, an automaker randomly selected a sample of 50 vehicles. The showed = 31.56 mpg with s=.798 mpg. At 95% confidence, what is the minimum mpg rating you could give the car?
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the fight arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05. Right Arm Left Arm % 102 101 94 80 79 177 172 143 143 143 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y=+x. (Round to one decimal place as needed.). Given that the systolic blood pressure in the right arm is 90 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg. (Round to one decimal place as needed) M H N H & C Copyright ©2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | a 33 M 0 8 K Vi 1. fio 11 O More (2) { 87°F Next [ insert prt sc 7:46 8/5/2 backspace
Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver's credit score, and safety rating of the car. Intercept Car Accidents (In last 3 years) Credit Score Safety Rating Coefficients 1186 213.48 Coefficients - 130.46 294.11 Standard Error Does the sign of the coefficient for the variable safety rating make sense? 123.87 21.89 14.26 356.37 t Stat P-value 9.575 0.0000 9.752 0.0000 -9.149 0.0000 0.825 0.4128
When computing a confidence interval for the slope of a regression line, a plot of the residuals versus the fitted values can be used to check which of the following conditions? The variables x and y are inversely related. The variables x and y are inversely related. A The standard deviation of y does not vary as x varies. The standard deviation of y does not vary as x varies. B The correlation is not equal to zero. The correlation is not equal to zero. C The observations are independent. The observations are independent. D The confidence interval contains zero.
Let's study the relationship between brand, camera resolution, and internal storage capacity on the price of smartphones. Use α = .05 to perform a regression analysis of the Smartphones01CS dataset, and then answer the following questions. When you copy and paste output from MegaStat to answer a question, remember to choose to "Keep Formatting" to paste the text. a. Did you find any evidence of multicollinearity and variance inflation among the predictors. Explain your answer using a VIF analysis. b. Copy and paste the normal probability plot for your analysis. Is there any evidence that the errors are not normally distributed? Explain. c. Copy and paste the Residuals vs. Predicted Y-values. Does the pattern support the null hypothesis of constant variance for the errors? Explain. d. Study the residuals analysis. Which observations, if any, have unusual residuals? e. Study the residuals analysis. Calculate the leverage statistic. Which observations, if any, are high leverage…

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