1. The life expectancy and schooling data for 173 nations relating the response variable y= life ex-pectancy (in years) to the explanatory variable x= mean number of years in school, results in aregression line that is shown below56.3166+1.7078xThe standard error for the slope is 0.1378.Show all steps of a two-sided significance test of independence.(a)List the hypotheses:(ъ)Calculate the test statistic.(c)Estimate the p-value(d)State your conclusion and interpret in context to this problem.2.Refer to the previous question, find a 95% confidence interval for the true slope for all6.nations in the world. Does zero fall within this interval? What does that mean in terms of the twovariables? Are they independent or dependent?

Answered: Image /qna-images/answer/fff91da8-4eeb-4f5a-aabf-88c8b9745102.jpg

Answered: 1. The life expectancy and schooling…

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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A) A multiple regression model was used in production the speed of a car based on several factors known to affect the speed. A graph of the residuals for the predicted values is presented below. i) Discuss the relevance of the graph shown below in relation to the normality of predicted values. 6.00000- 4.00000- 225 2.00000 00000- -2.00000- 424 164 226 227 O163 -4.00000- Standardized Residual (b) The diameter of iron rods issued in a high rising building pillars are under investigation. The diameter for Eleven rods were measured and the following results are obtained: Days 14.5 16.0 15.4 16.3 15.4 15.9 15.5 14.9 15.7 16.0 15.9 i. Determine The Interquartile range of the data ii. Determine a measure to describe the asymmetry of the data set.
In order to be able to statistically determine which levels of the significant main effect(s) differ dec the analysis of variance, which of the following is performed? A)t-test B)Simple linear regression analysis C)Post-hoc analysis D)Analysis of residues
Data on 12 randomly selected athletes was obtained concerning their cardiovascular fitness (measured by time to exhaustion running on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed. ski 85 2.5. treadmill = Coefficients Estimate (Intercept) Treadmill 85 - 2.5 Std. Error What is the test statistic? -2.5 0.45 1 Is there sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance? Round your answers to three decimal places. Using your answer from the previous question, find the p-value. Part 2 o
8. You collect data on people's height and study the relationship between gender and height. A regression of the height on a binary variable (Female), which takes a value of one for females and zero otherwise, yields the following result: Height = 71.0- 4.84 x Female, R2 = 0.40, SER = 2.0 (0.3) (0.57) (a) What is the sample average male height? (b) What is the sample average female height? I (c) How to interpret the slope coefficient -4.84? (d) Is the error term in the regression more likely to be heteroskedastic or homoscedastic? Why? R English (United States) D'Focus Page 9 of 10 920 words 100%
116). With 77.4 and y 77.2, you You run a regression analysis on a bivariate set of data (n obtain the regression equation y -1.848z+56.533 0.092. You want to predict what value (on average) for the with a correlation coefficient of r= response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? %3D (Report answer accurate to one decimal place.)
17. Additional information was obtained from EXCEL. Conduct a test of hypothesis to determine if any of the regression coefficients do not equal 0 Use the 005 significance level. The regression equation is: Salary = 19.2 + 3.10 Years + 0.269 Perform - 0.704 Absent Intercept Years Perform Absent Coefficients Standard Error 19.186 3.096 0.269 -0.704 12.146 0.706 0.120 0.586 -1.202 t Stat 1.580 4.385 P-value 0.143 0.001 0.046 0.255 2.252 а. Но: H: Họ: H1: Họ: H1: b. The decision rules are to reject Ho if What is your decision? Interpret. c. 305 Multiple Regression and Correlation Analysis Chapter 14
3) For a sample of 306 students in a basic business communications course, the sample regression line y = 58.813 + 0.2875x was obtained. Here y = final student score at the end of the course x = score on a diagnostic writing skills test given at the beginning of the course The coefficient of determination was 0.1158 and the estimated standard deviation of the estimator of the slope of population regression line was 0.04566. a) Define and interpret the estimates of the regression equation. b) Interpret the coefficient of determination. c) What will happen to the final student score if his diagnostic writing test score increases by 2? d) How can you inmprove this model?
Suppose x1 and x2 are predictor variables for a response variable y. a. The distribution of all possible values of the response variable corresponding to particular values of the two predictor variables is called a distribution of the response variable. b. State the four assumptions for multiple linear regression inferences.
A local buffet has steak night every Thursday night. They have a customer guarantee that each filet weighs on average (mean) 6.3 ounces with a standard deviation of 0.04. A. A disgruntled customer complains that they are served a “tiny” filet which would be less then 6.15 ounces determine the z-score for a tiny fillet. B. Determine the probability that a randomly selected customer will be served a tiny fillet C. A waiter at the buffet has been serving all day and wants to leave for the evening with a good tip. He randomly selects fillets in hopes of getting a jumbo one, where jumbo qualifies as a filet weighing more than 6.38 oz. Determine a jumbo filet’s z-score. D. Find the probability that a randomly selected filet will turn out to be jumbo. E. What percentage of filets are between 6.3 and 6.4 ounces? Construct a plot showing the desired probability. F. Determine the filet weight at which only 5% of filets weigh less than it.
Consider the following information about variable X: Mean = 4, standard deviation = 2. Consider the following information about variable Y: Mean = 5, standard deviation = 3. If there is a correlation of r = 0.52 between variable X and variable Y, what is the intercept for a simple linear regression equation predicting Y on the basis of X? Please provide your answer as a raw score (not a z score) with a minimum of two decimal places.
The value obtained for the test statistic, z, in a one-mean z-test is given. Also given is whether the test is two tailed, left tailed, or right tailed. Also is given the P-value.A left-tailed test: z = -1.17 P-value: 0.1210 Use technology to create a scatter plot of the data from the previous question. Include the regression line. (Hand drawn graphs will not be accepted.) The explanatory (input) variable and the response (output) variable must be clearly labeled, within the context of this problem.
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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