17. Additional information was obtained from EXCEL. Conduct a test of hypothesis to determine if anyof the regression coefficients do not equal 0 Use the 005 significance level. The regressionequation is:Salary = 19.2 + 3.10 Years + 0.269 Perform - 0.704 AbsentInterceptYearsPerformAbsentCoefficients Standard Error19.1863.0960.269-0.70412.1460.7060.1200.586 -1.202t Stat1.5804.385P-value0.1430.0010.0460.2552.252а. Но:H:Họ:H1:Họ:H1:b. The decision rules are to reject Ho ifWhat is your decision? Interpret.c.305 Multiple Regression and Correlation AnalysisChapter 14

From the given information, a. H0: The coefficient of years is equal to 0. H1: The coefficient of…

Answered: Additional information was obtained…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Based on the results of the regression, what would be the mose likely conclusion?
For a sample of 306 students in a basic business statistics course, the sample regression liney = 58.813 + 0.2875xwas obtained. Here,y = final student score at the end of the coursex = score on a diagnostic statistics test given at the beginning of the courseThe coefficient of determination was 0.1158, and the estimated standard deviation of the estimator of the slope of the population regression line was 0.04566.a. Interpret the slope of the sample regression line.b. Interpret the coefficient of determination.c. The information given allows the null hypothesis that the slope of the population regression line is 0 to be tested in two different ways against the alternative that it is positive. Carry out these tests and show that they reach the same conclusion.
Brain size Does your IQ depend on the size of yourbrain? A group of female college students took a test thatmeasured their verbal IQs and also underwent an MRI scan to measure the size of their brains (in 1000s of pix-els). The scatterplot and regression analysis are shown, and the assumptions for inference were satisfied.Dependent variable is: IQ_VerbalR-squared = 6.5% s = 21.5291 df = 18Variable Coefficient SE(Coeff)Intercept 24.1835 76.38Size 0.098842 0.0884a) Test an appropriate hypothesis about the associationbetween brain size and IQ.b) State your conclusion about the strength of thisassociation.
A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training 1 4 7 3 2 2 5 5 1 6 Defects per Countertop 5 1 0 3 5 4 1 2 8 2
On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 90%. The standard error of estimate was 14. There were 18 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam. (Round your answers to 2 places.)
A simple linear regression model was created based on 25 samples. The 95% confidence interval for the estimate of B, is (1.5, 4.8). What is thet-statistic for B1? Report your answer in 3 decimal places.
*Give the value of the correlation coefficient and interpret its meaning. Compute the least-squares regression line for predicting calories (y) from protein (x). Interpret the value of the slope. Predict the number of calories in a fast-food product containing 18 grams of protein. Round to the nearest whole number. What is the 95% confidence interval for the slope. Construct a 99% confidence interval for the slope. Test ? : ? = 0 versus ? : ? ≠ 0. Can you conclude that the amount of protein is useful in predicting the 01 11 number of calories? Use the ? = 0.05 level of significance. Is this a left-tailed test, a right-tailed test, or a two-tailed test? What is the value of the test statistic? Identify the p-value for this procedure. Do not round. Using the p-value method, should ?0 be rejected at the ? = 0.05 level of significance? Why or why not? Can we conclude that the amount of protein in fast-food products is useful in predicting the number of calories?
A confidence interval for the average y-value at x = 6 from a simple regression was calculated to be (11.52, 17.74). Which one of the following can be the calculated prediction interval for the y-value at x = 6 for this model? O (8.20, 21.06) O (9.92, 21.10) O (11.52, 17.74) O (12.71, 16.55) O (12.15, 15.12)
Identify two different conditions under which the regression line should not be used to make predictions.
What is dependent and independent variables? Fully write out the regression equation.What is the sample size used in this investigation? Fill in the blanks identified by ‘*’ and ‘**’. Is β significant, at the 5% level of significance?
Suppose a psychologist used number of hours of sleep in the night before a quiz to predict the quiz score using simple linear regression. The mean number of hours of sleep is 6.28 and the SD is 2. The standardized coefficient (beta in SPSS) is 0.38. If the number of hours of sleep increases from 6.28 to 8.28, what is the increase in predicted quiz score in standard deviation?
what is a confidence coefficinent for a simple linear regression line whoes alpha =0.05 and line is y(hat)=-7.45-10x

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