A regression model to predict $ Y $, the state burglary rate per 100,000 people, used the following four state predictors: - $ X_1 $ = median age- $ X_2 $ = number of bankruptcies per 1,000 population- $ X_3 $ = federal expenditures per capita (a leading predictor)- $ X_4 $ = high school graduation percentage.\[ \text{(Click here for the Excel Data File)} \]**(a)** Using a sample size of 50 people, calculate the $ t_{\text{calc}} $ and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.)| Predictor | Coefficient | SE | $ t_{\text{calc}} $ | p-value ||-----------|-------------|--------|----------------|---------|| Intercept | 4,188.5808 | 799.3395 | 5.2526 | 0.0000 || AgeMed | -27.3540 | 12.5887 | -2.1764 | 0.0348 || Bankrupt | 17.4893 | 12.4033 | 1.4101 | 0.2385 || FedSpend | -0.0124 | 0.0176 | -0.7045 | 0.4848 || HSGrad% | -29.0314 | 7.1268 | -4.0736 | 0.0002 |**Note:** The answer is complete but not entirely correct.

Answered: Image /qna-images/answer/023d810a-3157-41d6-add8-b39a194a602f.jpg

Answered: A regression model to predict Y, 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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A university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The table shown below gives the monthly starting salaries for five graduates of the business school along with their corresponding GPAs. These data have a sample correlation coefficient, rounded to three decimal places, of 0.965. Using x=0.10, test if the population correlation coefficient between the starting salary and the GPA of a university business graduate is greater than zero. Starting Salary $2,600 $2,900 GPA 3.1 3.4 What are the correct null and alternative hypotheses? O A. Ho: p0. H₁₂₁: p=0 $2,400 2.6 O C. Ho: p≤0 H₁: p>0 What is the test statistic? t = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) State the conclusion. Ho. There $2,900 3.7 $2,200 2.5 OB. Ho: p=0 H₁:p #0 O D. Ho: p20 H₁: p<0 enough evidence from the sample to conclude that p is…
An investigation of the properties of bricks used to line aluminum smelter pots was published in an article. Six different commercial bricks were evaluated. The life span of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life span); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. See the table. Apparent Porosity (y). Mean Pore Diameter (x). Click the icon to view the table. Data table Mean Pore Diameter Apparent Porosity (%) (micrometers) Brick Interpret the y-intercept of the line. Choose the correct answer below. 18.7 12.0 В 18.3 9.8 O A. The y-intercept is Bo- This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter. 16.3 7.3 6.9 5.4 O B. The y-intercept is Bo: For each unit increase in mean pore diameter, the mean porosity is estimated to increase by B0- 17.2 10.9 O C. There is not enough…
A random sample of 50 plants was selected from a field containing one-year-old plants of a variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal (N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following page show the percentage rubber content from each plant. Normal Off-type Aberrant 6.34 6.40 5.70 4.84 5.01 6.20 4.25 8.90 6.93 6.38 6.68 7.10 6.42 7.26 7.29 6.30 7.01 6-84 7.12 6.83 7.31 7.25 6.86 6.68 5.82 4.46 7.70 5.90 5.24 5.58 6.36 7.10 6.81 7.32 6.48 5.88 5.24 5.51 7.00 6.42 6.20 6.04 5.58 4.72 7.42 7-27 6.43 6-10 6-01 7.90 (a) Test the null hypothesis that there is no difference in mean rubber content between the three types of plant. (b) If the means of the distributions of each type of plant are denoted by N, PO and PA respectively, test the following particular null hypotheses: (i) EN = RA; (ii) Po=(PN + PA).
Click this Video for Finding Correlation Coefficient by Using Formula. Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. x (hour) 8 9 3 9 1 2 3 4 5 Calculate the sample correlation coefficient (r) to three decimal places. r= 9 Why would we expect the correlation coefficient to be positive? As the sleep time increases, exam score increases As the sleep time increases, exam score decreases As the sleep time decreases, exam score increases There is no change in exam score to sleep time C E y (score) 91 94 51 100 90 C A
What is the relative frequency of deaths that occurred in 2000 or before?
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.45. Calculate the p-value for the test of significance.
Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?
The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation. The coefficient of variation for the BMI's of beauty pageant winners from the 1920s and 1930s is %
Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of crime occurring with these ride services impacted the usage of them, especially with women. You decide to conduct a survey about ride service usage among male and female college students. The results showed that 19 males use ride services and 11 do not. While 12 females use ride services and 18 do not. Calculate the chi-square statistic:
The following regression is fitted using variables identified that could be related to student requestedloan amount, LOAN-AMT($) for returning students of a certain University. ????−??? = ? + ? ?????? + ? ???? + ? ????Where ACCEPT = the percentage of applicants that was accepted by the university, PREV = previous loan amount and OUTS =outstanding loan amountThe data was processed using MNITAB and the following is an extract of the output obtained:EXHIBIT 2Predictor Coef StDev T PConstant -26780 6115 * 0.000ACCEPT 116.00 37.17 3.14 0.003PREV -4.21 14.12 -0.30 **OUTS 70.85 15.77 4.49 0.000S = 2685 R-Sq = 69.6% R-Sq(adj) = 67.7%Analysis of VarianceSource DF SS MS F PRegression 3 808139371 269379790 37.37 0.00Residual Error 49 353193051 7208021Total 52 1161332421a)What is dependent and independent variables? b)Fully write out the regression equation c)What is the sample size used in this investigation? d)Fill in the blanks identified by ‘*’ and ‘**’. e)Is β significant, at the 5% level of…
determine whether suicide and homicide rates in metropolitan areas around the country are correlated. a sample of 10 metropolitan areas with their rates (number per 100,000), of suicide and homicide. computed the correlation coefficient of 0.70.
From the graphs displayed, is there evidence to suggest that there is a positive linear relationship between Square Feet and Bathrooms, for the population of real estate represented by this sample? Be sure to provide numeric support in your answer.

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