The errors in multiple linear regressions have a normal distribution and are dependent. True False
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Which of following is true or the most appropriate about a scatterplot with regression line or ordinary least square (OLS) regression? Question 18 options: No matter how you decide to draw your straight line, in general, all will will fall directly on the line. Any data point that does not fall directly on the line will have a certain amount of distance between the point and the line. If you were to calculate the distance between the data point and the line you have drawn, and then sum the distance, you would have a regression coefficient for the data points OLS is based on an idea that we have seen before: the sum of deviation.Which of following is true or the most appropriate about a scatterplot with regression line or ordinary least square (OLS) regression? Question 18 options: No matter how you decide to draw your straight line, in general, all will will fall directly on the line. Any data point that does not fall directly on the line will have a certain amount of distance between the point and the line. If you were to calculate the distance between the data point and the line you have drawn, and then sum the distance, you would have a regression coefficient for the data points OLS is based on an idea that we have seen before: the sum of deviation. Previous PageNext Page
- Which of the following is not one of the statistical assumptions behind linear regression? a. The residuals should not be autocorrelated. b. The variance of Y for all combinations of X variable values should be constant. c. The X variables should be normally distributed. d. The residuals should be normally distributed.Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 8 14 24 27 31 32 Temperature 55 37 20 −5 −27 −41 −57 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)Which of the following is not an assumption for simple linear regression? Select one: a. Normally distributed residuals b. Linear relationship c. Normally distributed variables d. Multicollinearity e. Constant variance Please answer within 30 minutes.
- In the above plot, a rejection of the null hypothesis that the population regression slope is equal to 0 implies: a) the correlation coefficient in the population is likely equal to 0 b) the correlation coefficient in the population is likely unequal to 0 c) the standard deviation of height is likely very large d) the standard deviation of weightis likely very small e) the correlation coefficient must be close to 1.0 f) a and c g) b and e h) b, d and eWhich of the following is not an assumption of a linear regression? A The residuals follow a normal distribution. B The variance from the regression line is the same C The slope of the relationship between the X and Y variables is constant. D The line minimizes the sum of the squared vertical difference between the observation and the line.The certain study seeks to investigate whether negative life events, family environment, family violence, media violence, and depression are predictors of youth aggression and bullying. Which of the following statistical tests is most appropriate to answer this objective? a. Linear Regression b. McNemar's Test c. Chi-square Test d. Multiple Logistic Regression
- Which of the following is not a plot of residuals typically used in multiple regression analysis?Select one:a. None of these b. Residuals versus correlation coefficients..c. Residuals versus X1.d. Residuals versus timee. Residuals versus X2.Section 10.3 Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 11 14 20 28 31 34 Temperature 55 39 26 −2 −34 −41 −59 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)Which of the following is not a formal condition for inference about a regression estimate? Sampling independence of bivariate observations Linearity between variables X and Y Normality in the distribution of residuals Heteroscedasticity between X and Y variables