If the P value is greater than the alpha value, then we reject the null hypothesis. T/F
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?Two random variables have the regression equations : 3 X+2Y- 26 = 0 6X+ Y- 31 = 0 | Fina the mean value and the coefficient of correlation between X and Y. If the variable of X = 25, find the standard deviation of Y from the data given above.Please finish the R code to conduct the hypothesis testing. I need the code for the p-value for the F test, tstat, and the p value for tstat. Write the conclusion to the hypothesis testing once completed. # Example 11.1# simple linear regression# H0: B=0 (there is no linear correlation)# H1: B≠0 (there is a linear correlation)data <- data.frame(estriol=c(7,9,9,12,14,16,16,14,16,16,17,19,21,24,15,16,17,25,27,15,15,15,16,19,18,17,18,20,22,25,24),birthweight=c(25,25,25,27,27,27,24,30,30,31,30,31,30,28,32,32,32,32,34,34,34,35,35,34,35,36,37,38,40,39,43))linear <- lm(birthweight~estriol, data = data)summary(linear)# This gives the results for a and b and the F statistic. # Call:# lm(formula = birthweight ~ estriol, data = data)# # Residuals:# Min 1Q Median 3Q Max # -8.1200 -2.0381 -0.0381 3.3537 6.8800 # # Coefficients:# Estimate Std. Error t value Pr(>|t|) # (Intercept) 21.5234 2.6204 8.214 4.68e-09 ***# estriol 0.6082 0.1468 4.143…
- Which of the following is not true of regression analysis a. the varíables on the right hand side of a regression equation cause the varíable on the left hand side of the equation b. In multiple regression the effect of each varíable on the right hand side is hard to estimate if a variable on the right-hand-side is correlated with other variables on the right hand side c. residuals capture the random components of the variable being modelled that are not otherwise explained in the model d. Because símple regression is linear it can only be used for a straight line relationship between the variablesPart 4 Should you reject/not reject the null hypothesis?Which of following is not true about Type I error? The alpha (x) level False positive Rejecting the null hypothesis when in reality it is true. Accepting (not rejecting) the null hypothesis when in reality it is false.
- If the correlation between X and Y is r = 0.00, then the regression equation, Y = bx + a, will have b = 0. O True O Falsebee 124-13. Comment on the following statements : ) The correlation coefficient r between X and Y is 0-90 and the regression coefficient B is -- 1. u) If the two coefficients of regression are negative then their correlation coefficient is positive. (Hi) ry = 0-9, B = 2-04 and B,, = - 3.2. %3DState whether each hypothesis is a null, directional or a non-directional hypothesis. Improved working conditions in a plant will lead to greater productivity. Students who do not cheat during examinations have higher self-esteem than students who cheat during examinations. A whole advertisement will lead to increased sales for the product. The proportion of detergent users who prefer Super Ola CClean is higher than 50% There is no difference between drug X and drug Y in relieving muscle pains.
- A random variable X is normally distributed with a mean of 81 and a variance of 81, and a random variable Y is normally distributed with a mean of 160 and a variance of 256. The random variables have a correlation coefficient equal to - 0.5. Find the mean and variance of the random variable below. W = 8X - 3Y Hw (Type an integer or a decimal.)Which of these options are true?om X) 10.2.21-T Question Help ▼ Find the regression equation, letting the first variable be the predictor (x) variable. oin Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 38 years? ues Best Actress 29 29 29 62 32 33 47 28 61 23 54 ロ 46 46 Best Actor 44 38 38 43 52 46 60 52 40 52 34 Find the equation of the regression line. on 3 on 7 y =| + ( )x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. Check Answer 2 parts remaining Clear All
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