Question

4. The residual is the difference between the ___________ and the ___________. A) predicted value of ; observed value of B) observed value of ; predicted value of C) predicted value of ; observed value of D) predicted value of ; observed value of 5. A Type I error is the mistake of __________ when it is actually true. A) Failing to reject the null hypothesis.B) Failing to reject the alternative hypothesis.C) Rejecting the null hypothesis.D) Rejecting the alternative hypothesis.6. Which of the following statements concerning the linear correlation coefficient are true?I. If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables.II. If the slope of the regression line is negative, then the linear correlation coefficient is negative.III. The value of the linear correlation coefficient always lies between −1 and 1.IV. A linear correlation coefficient of 0.62 suggests a stronger linear relationshipthan a linear correlation coefficient of −0.82.A) IandIV B)IIIandIV C)IIandIII D)IandII 7. The _____________ is the probability of getting a test statistic at least as extreme as the one representing the sample data, assuming that the null hypothesis is true.A) −B) Sample proportionC) Critical valueD) Level of significance8. Determine whether the samples are independent or dependent. The effectiveness of a headache medicine is tested by measuring the intensity of a headache in patients before and after drug treatment. The data consist of before and after intensities for each patient.A) Independent samples B) Dependent SamplesPart II. Short AnswerWrite the word or phrase that best completes each statement or answers the question.1. For each of 200 randomly selected cities, Gary recorded the number of churches in the city () and the number of homicides in the past decade (). He calculated the linear correlation coefficient and was surprised to find a strong positive linear correlation for the two variables. Does this suggest that building new churches causes an increase in the number of homicides? Why do you think that a strong positive linear correlation coefficient was obtained? Explain your answer with reference to the term lurking variable.2. A set of data consists of the number of years that applicants for foreign service jobs have studied German and the grades that they received on a proficiency test. The following regression equation is obtained: ? = 31.6 + 10.9, where represents the number of years of study and represents the grade on the test.a. Identify the predictor and response variables.b. Interpret the regression equation by interpreting the y-intercept and slope.3. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or -value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or -value (or range of -values) as appropriate and state the final conclusion that addresses the original claim. A cereal company claims that the mean weight of the cereal in its packets is 14. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below.14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level.

Answer 1

4. The residual is the difference between the observed value of y

and the predicted value of y -- OPTION B

Step-by-step explanation:

In statistical models, a residual is the difference between the observed value and the mean value that the model predicts for that observation.