**Table 1. Data from Random Sampling**| Monthly Income ($1,000) | Marital Status | Year of Education | Type of Punishment | Sentence months ||-------------------------|----------------|-------------------|-------------------|-----------------|| 1.8 | 2 | 8 | 2 | 12 || 2.3 | 3 | 7 | 1 | 16 || 2.5 | 1 | 10 | 2 | 18 || 2.3 | 1 | 9 | 1 | 22 || 3.8 | 2 | 14 | 1 | 8 || 1.9 | 1 | 11 | 1 | 15 || 3.2 | 2 | 14 | 2 | 8 || 2.1 | 3 | 12 | 1 | 6 || 1.9 | 2 | 7 | 1 | 15 || 2.1 | 2 | 10 | 3 | 9 || 2.1 | 3 | 12 | 2 | 10 || 2.0 | 1 | 8 | 2 | 14 || 2.6 | 2 | 8 | 2 | 13 || 2.6 | 1 | 9 | 1 | 9 || 2.0 | 1 | 7 | 2 | 11 || 2.6 | 1 | 12 | 3 | 7 || 1.9 | 2 | 9 | 1 | 11 || 2.5 | 3 | 7 | 2 | 7 || 2.1 | 1 | 9 | 1 | 11 || 2.6 | 2 | 7 **Question 1 - 3 refer to the following variables:**- Dependent variable: Monthly Income- Independent variable: Year of EducationAfter calculating the regression slope of the two variables, explain what the slope refers to by selecting two correct answers (NO PARTIAL CREDIT).Form: For one unit increase in [a], [b] is predicted to [c] by the slope.- [ ] For one unit increase in Monthly Income,- [ ] For one unit increase in Year of Education,- [ ] Monthly Income is predicted to increase by the slope- [ ] Monthly Income is predicted to decrease by the slope- [ ] Year of Education is predicted to increase by the slope- [ ] Year of Education is predicted to decrease by the slope

Given: n = 30 Formula Used: Slope b = n∑XY-∑X∑Yn∑X2-∑X2

Answered: Dependent variable: Monthly Income…

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 regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 78.5 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.9 per 10 million people? Click the icon to view the data. Data table Find the equation of the regression line. Internet Users Per 100 Nobel Laureates V = + (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) 79 5.4 79.6 24.5 78.7 8.5 44.7 0.1 83.6 6.1 38.6 0.1 90.2 25.5 89.4 7.7 79.1 9. 83.1 12.8 52.7 1.9 76.8 12.7 57.1 3.3 79.8 1.5 92.3 11.5 93.8 25.7 64.7 3.1 58.2 1.9 67.3 1.7 94 31.8 84.5 31.3 87 18.9 77.1 10.7
Use the given data set to answer parts (a) and (b). a. Find the regression equation for the data points. b. Graph the regression equation and the data points. a. Find the regression equation for the data points. G (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) X 5 y - 1 4 1 1 -1 3 2 2 4 Q
(c) Use the regression equation to predict the head circumference of a child who is 24.5 inches tall.
Thanks in advance
B-4 A toy store manager would like to know how the price can affect the sales of toys. In his data, he obtained 100 pairs of prices (unit: £) and volume of sales (unit: hundreds) for the toys. A simple linear regression was run with Sales as the dependent variable and Price as the independent variable with the following results. Regression Statistics R Square Adj. RSqr StErr of EST 0.876 0.767 0.701 4.184 Summary Table Variable Coeff. Std. Err Intercept 64.742 11.310 Price -2.645 0.602 (a) Write down the estimated regression equation. Explain this regression equation. (b) What's the value for R Square? Explain the meaning of this value. (c) Test the significance of the model at a=0.05 level. Write down the hypothesis you are testing, the statistic you use to evaluate the test, and your conclusion. (d) Use the regression output to construct a 99% confidence interval for the predicted sales when the price is set to be 15. (e) A colleague in the toy store claims that £1 increase in the…
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.493x - 83.403. Complete parts (a) and (b) below. A Average Weekly Wages (state), x Average Weekly Wages (federal), y 764 1003 766 1048 791 1119 (a) Find the coefficient of determination and interpret the result. r² = 0 (Round to three decimal places as needed.) 800 1152 843 1201 887 1250 924 1277 939 1306
Which of the following statements best describes the slope in the simple linear regression model of y on x? O The estimated average change in x per one unit increase in y. The estimated average change in y when x-1. The estimated average value of y when x = 0. The estimated average change in y per one unit increase in x.
H. Find the slope and y-intercept of each regression line. Then, determine if the correlation between the variables is positive or negative. (12 points) Regression Line Equation 1. Y = 1.751X – 21.722 Slope y-intercept Kind of Correlation 2. Y = -221.943X+65.434 3. Y = -82.455X –314.986 4. Y = 0.997X + 0.168
Which of the following situations could produce data sets or plots would have a regression line with a negative slope? Select all that apply. Select all that apply: The number of miles a ship has traveled as a function of the number of years since it was launched. The number of miles a ship travels each year as a function of the number of years since it was launched. the number of times a ship needs repairs as a function of the number of years since the ship was initially launched. the number of voyages a ship can make per year as a function of the length (in days) of each voyage.
Can you please help with sub-parts C and D
Two variables are defined, a regression equation is given, and one data point is given. Study = number of hours spent studying for an exam Grade = grade on the exam GRADE= 41.0 + 3.7 (STUDY) THE DATA POINT IS A STUDENT WHO STUDIED 10 HOURS AND RECIEVED AN 81 ON THE EXAM…
The following table gives the average August temperature (y) and geographic latitude (x) for 20 cities in the United States. The following formula is the regression equation relating these two variables. y=113.6-1.01x (a) The latitude at the equator is 0. Using the regression equation, estimate the average August temperature at the equator.

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