39. The strength (degree) of the correlation between a set of independentvariable X and a dependent variable Y is measured byO A. Regression EquationO B. Coefficient of DeterminationO c. Simple RegressionO D. None of the above

Correlation and association: In statistics, for the determination of association between variables…

Answered: 39. The strength (degree) of the…

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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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x D Test score, y Test score 80- 0- E Hours studying Q 0 39 Find the regression equation. ŷ=x+ X (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. G 2 44 OB. 3 50 Test score 80- #R 0 3 48 Hours studying (a) Predict the value of y for x=2. Choose the correct answer below. OA. 49.8 OB. 47.0 OC. 55.5 OD. not meaningful (b) Predict the value of y for x=3.5 Choose the correct answer below. 4 65 Q 6 70 wwx O C. Test score 80+ (a) x=2 hours (c) x = 15 hours 8 Hours studying Q Q O D. 80- (b)x= 3.5…
(New Question) Which of the following is true about panel data regression? In panel data, there is a possibility of autocorrelation because of the correlation between u and u, where ujt and u are error terms for entity i and j. O Fixed effect model imposes the same intercept across the entities but allows for different slopes in estimation. O Panel data can be more useful than cross-sectional data because with panel data it is possible to estimate the regression coefficients even if X is fixed over time within entities. O The time-demeaned OLS regression transforms the data by deviating X and Y by the average across entities at each time t.
1.)fill in the blanks. Based on the physician's study, the predictor variable, X is_____and the response variable, Y, is________. 2.) As described in the article, the relation between age and peak heart is a______. - positive relation - negative relation - no relation 3.) Provide the regression line, ŷ=a+bx. Show steps/equations used to get answer. 4.) Suppose a 40 year old person is randomely selected. Use your Model to predict their peak heart rate. 5.) Based on your model, as a person ages one year, how much would you expect peak heart rate to change?
In a multiple regression, which of the following tests can be used to determine if the relationship between the dependent variable and the set of independent variables is significant? The Coefficient Of Determination R-Squared for each coefficient of the X variables & an F- Statistic Test for the overall regression F-Statistic tests for each coefficient & a t-test for the overall regression The Coefficient Of Determination R-Squared and/or an F-Statistic Test for the overall regression & t-tests for each coefficient of the X variables t-tests for each coefficient and for the overall regression
z score z score for each for each value of value of Zzły х х -0.278 0.536 -0.149 -0.089 0.696 -0.062 -1.253 -1 -1.652 2.070 -0.714 -0.928 0.663 2.461 1.473 1.671 0.536 0.371 0.199 -0.089 4 -0.278 0.025 Σ: ỹ = 3.857 S, = 3.078 = 5.207 T= 4.286 s, = 3.200
d the linear regression equation and the value of the linear correlation coefficient r. Round to 2 decimals. 19) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands): Cost| 7 2 3 4 2 5 9 10 Number 85 52 55 68 67 80 83 73 to Cost r =
3) What is the use of regression analysis (Please support your answer with a suitable example)? Driving Experience (years) Monthly Auto Insurance Premium 5 $64 2 87 12 50 9 71 15 44 6 56 25 42 16 60 Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?
27. What percentage of the variability is accounted for by the regression model?A. 1% B. 2% C. 98% D. 99%28. Is there a linear relationship between the dependent variable and the independent variables?A. Cannot be knownB. MaybeC. NoD. Yes29. What will be the value of y if x = 0?A. -12.87 B. -0.08 C. 0.70 D. 0.99
7
11. For temperature (x) and number of ice cream cones sold per hour (y). (65, 8), (70, 10), (75, 11), (80,13), (85, 12), (90, 16). Interpret the coefficient of determination. Optional Answers: 1. 88.2% of the variability in the number of cones sold is explained by the least-squares regression model. 2. 93.9% of the variability in the number of cones sold is explained by the least-squares regression model. 3. 88.2% of the variability in the temperature is explained by the least-squares regression model. 4. 93.9% of the variability in the temperature is explained by the least-squares regression model.
3. Find the equation of the regression line for the data and graph the scatter plot for the data No of ads (x) Sales (y) 2 5 8 8 10 12 2 4 7 9 10 Find yl at x = 47 ads
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.

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39. The strength (degree) of the correlation between a set of independent variable X and a dependent variable Y is measured by A. Regression Equation O B. Coefficient of Determination O c. Simple Regression O D. None of the above