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- 1.The least squares estimate of β0 is i. 2.3176 ii. 0.7176 iii. 0.8824 iv. 1.8990 2. The least squares estimate of β1 is i. 0.4773 ii. 0.2990 iii. 0.2061 iv. 0.9265 3. The linear correlation coefficient r is i. 0.4122 ii. 0.1700 iii. 0.2990 iv. 0.5683The following partial ANOVA table is taken from an article in which the abilities of three different groups to identify a perceptual incongruity were assessed and compared. Al individuals in the experiment had been hospitalized to undergo psychiatric treatment. There were 35 individuals in the depressive group, 32 individuals in the functional "other" group, and 31 individuals in the brain-damaged group. Complete the ANOVA table and carry out the Ftest at level a- 01. (Give answers to 2 decimal places and the p-value to 3 decimal places.) Sum of Mean Square Source df Squares P-value Groups 76.61 Error Total 1127.02 Conclusion Reject the null hypothesis, there are significant differences between the means O Reject the null hypothesis, there are not significant differences between the means. O Fail to reject the null hypothesis, there are not significant differences between the means O Fail to reject the null hypothesis, there are significant differences between the means11.10 Refer to Exercise 11.9. Create R output and answer the questions instead of using minitab output) a. Find the least-squares estimates of the slope and intercept in the output.b. What does the sign of the slope indicate about the relation between the speed ofthe drill and bit lifetime?c. Compute the residual standard deviation. What does this value indicate about thefitted regression line?
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- Which of the following is(are) TRUE if the coefficient of determination between the response and the predictor variables is 0.81 based on a random sample of size n. O Neither Anor B O A. This means that 19% of the total variation in the response variable remains unexplained by the simple linear regression model that uses the given predictor variable. O Both A and B B. The Pearson's sample correlation coefficient is +0.9.2. Two modeling scouts are on the bus rating the attractiveness of their fellow passengers on a scale of one to five. When they were finished, they noticed that one of them had five scores with the maximum possible error, while the other had five scores with the minimum possible error. For both you and your friend give: a.) each of the five answers that were given; b.) calculate the appropriate measure of central tendency, and c.) calculate the appropriate measure of dispersion. Central Dispersion Anna Bill Carl Delia Ellen Tendency Max. Error Min. ErrorSelect the correct text in the passage. Which word or phrase in the excerpt supports the meaning of the word deteriorating as “becoming worse over time”? excerpt from Exploring the Secrets of Marsh Happinessby NOAA Characterizing an “unhappy,” deteriorating tidal marsh is more complex because marshes can fall apart in many different ways. One finding contradicted a previous assumption: namely, that gains in marsh elevation and sediment indicate greater resilience. The authors say marshes with these characteristics performed inconsistently and often signaled the muddy mess that degrading marshes can become, not marsh health.
- 1. Suppose a X value is produced by a random process that has a mean of 1 and a variance of 9, while a Y value is produced by a random process that has a mean of 9 and a variance of 1. Let Z = 3X - 2Y. Compute: a. the mean and variance of Z assuming X and X are independent. b. the mean and variance of Z assuming X and X are not independent and their correlation coefficient is 0.50.Foofy obtained a significant Fobt from an experiment with five levels. She therefore concludes that changing every condition of the independent variable results in a significant change in the dependent variable. (a) Is she correct? Why or why not? (b) What must she now do?6.3 7) A college professor was becoming annoyed by how many of his students were absent during his 8:00 a.m. section of Philosophy 103. He decided to analyze whether these absences were impacting student scores. He assigned his TA the task of keeping track of attendance. At the end of the semester he compared each student's grade on the final exam (100 points possible) with the number of times he or she had been absent. His findings are displayed in the graph to the right. a) Identify the explanatory and response variables. Absences & Final Exam Scores b) Describe the relationship between these two variables. (Form, Direction, Strength, Outliers) 0 Number of Absences (87 total days) c) Jeremy was absent 25 times. What would you predict his score on the final exam to be? d) Lucy often overslept and missed 43 class sessions. What would you predict for her score on the final? Grade on Final Exam 88228892290 100 20 91.704-1.654x R²=0.8732