Does it pay off to study hard at university and graduate with a high grade point average (GPA)? Aresearcher has collected data on the GPA (2.0-5.0) and the starting annual salary (in euros) of arepresentative sample of 46 graduates from a Business and Management programme. Theresearcher used SPSS to fit a simple linear regression model on the data. The SPSS output is shownbelow.Model1R Square122a. Predictors: (Constant), GPAModel1Model SummaryR.350Adjusted RSquareSum ofSquares666314698.947829902375449304935RegressionResidualTotala. Dependent Variable: Salaryb. Predictors: (Constant), GPA.102ANOVAdf14445Std. Error ofthe Estimate10426.137Mean Square666314698.9108704323.6F6.130Sig..017b Model1CoefficientsUnstandardized CoefficientsBStd. Error(Constant)37737.496GPA5971.460a. Dependent Variable: Salary10287.5442411.927StandardizedCoefficientsBeta.350t3.6682.476Sig..001.017Test the null hypothesis that the population slope is equal to zero against the alternative hypothesisthat the population slope is not zero. Conduct the test at the .01 level of significance. State yourconclusion and explain how you arrived at that conclusion.

Given: The output of simple linear regression is provided in the table. We need to test the null…

Answered: Model 1 Coefficients Unstandardized…

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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egression line? About the unexplained variation? r= -0 422 Calculate the coefficient of determination. Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line. (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)
The total expenses of a hospital (dependent variable) are related to many factors. One of these factors is the number of admissions to the hospital (independent variable). Using the summary output below to answer, what is the meaning (analysis) of the X variable B1? SUMMARY OUTPUT Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Regression Statistics Intercept Admissions df 0.98706 0.974288 0.972145 8.106794 14 Coefficients 1 12 13 1.518053 0.668591 SS 29883.07 788.6412 30671.71 Standard Error 3.248929 0.031354 MS 29883.07 65.7201 t Stat 0.467247 21 32375 F 454.7022 P-value 0.648693 6.59E-11 Significance F 6.59E-11 Lower 95% -5.56075 0.600276 Upper 95% 8.59686 0736907
Fiber and breakfast cereal - In an attempt to learn whether cereals high in fiber are also high in sugar and calories, three researchers took a random sample of 24 brands of breakfast cereal and recorded the calories, sugar (in grams), and fiber (in grams) per serving for each brand. The researchers constructed a linear model using Fiber as the explanatory variable and Calories as the response variable to answer the question, "Can the amount of fiber per serving be used to predict the amount of calories per serving in a given brand of cereal?" A scatterplot is given below. Cereal Fiber and Calories T 4 10 12 Fiber (grams) per serving A linear model is fitted to the data using the statistical software, R, and a summary of that model fit is given below: Coefficients Estimate Std Error value Pr( > |t]) (Intercept) 113.5 3.668 30.939 1.25e-19 Fiber -3.611 0.8085 -4.467 0.000193 001 08 09 Calories per serving
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[Simple Regression on House Price] Consider the following model you wish to estimate by using the OLS, Price = α + β sqrft + ε, where price is the house price in thousands of dollars and sqrft is size of house in square feet. The OLS result from Excel is as follows (see attached). At the 0.05 level of significance, is there enough evidence that the true population regression coefficient β is different from zero (i.e., H1: β≠0)? (a) Yes (b) No (c) We don’t have enough information to decide
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y = 2.68 Enter an integer or decimal number [more.. y 4 17.12 22.3 22.88 26.06 31.04 30.02 Submit Question 56789
Measures of Position and the Empirical Rule 1. Find each z-score. Which score has a better relative position, a score of 44 on a test for which and s = 4, or a score of 283.4 on a test for which and s = 26? %3D 2. State the Empirical Rule 3. Length of pregnancy is normally distributed with m = 269 days and s 15 days. 1. What percentages of pregnancies have lengths that fall between 2 standard deviations of the mean? 2. What are those two lengths? 4. IQ follows a normal distribution with a mean of 100 and a standard deviation of 15. 1. What percentage of people have an IQ between 85 and 115 2. Between 55 and 145?
Thius excel worksheet was based on specific independent and dependent variables. Think of another independent variable that you think would be a better predictor of the dependent variable. Give the name of that variable and explain why you think this would be a better predictor than the current independent variable.
Which proportionate reduction in error statistic would you choose for the following variables?Number of children and age in years O GammaO Levene'sO LambdaO Pearson's R

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