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JUST QUESTION 14 PLEASE
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- A researcher finds a correlation of r x y = + 0.40 with a sample of n = 25 bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given reject the null hypothesis fail to reject the null hypothesisIQ scores were obtained randomly from selected twins at birth. For 20 such twins the linear correlation coefficient was 0.896 and equation of regression line is y= -3.02 + 1x, where x represents the iq score of the twin that was first born. Also the 20 x values has a mean of 103.2 and the 20 y values has a mean of 105.2. What is the best predicted IQ of the twin born second, given the first born twin has an IQ of 105?IQ scores were obtained from randomly selected adopted children living together. For 20 such pairs of children, the linear correlation coefficient is 0.027 and the equation of the regression line is y=-3.22+1.02x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 104.2 and the 20 y values have a mean of 103.1. What is the best predicted IQ of a younger adopted child, given that the older adopted child in the same family has an IQ of 110
- If the correlation of the X's is equal to 1 or -1, then the regression cannot process. Why?The table below gives the number of absences and the overall grade in the class for seven randomly selected students. Based on this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for using the number of absences to predict a student's overall grade in the class. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Number of Absences Grade1 3.72 3.33 3.14 2.96 2.47 2.28 1.9This is a problem using the empirical rule
- In the regression modelY = β0 + β1X1 + β2X2 + εthe extent of any multi collinearity can be evaluated by finding the correlation between X1 and X2 in the sample. Explain why this is so.The correlation between the two variables of interest is 0.81, which is significant at the 0.0337 level. This means ______. Group of answer choices 1.that the null hypothesis is rejected 2.the research hypothesis is rejected 3.that the null hypothesis is accepted 4.that the null hypothesis cannot be determinedFor 40 eruptions of the Old Faithful geyser in Yellowstone National Park, duration times (sec) were recorded along with the heights (ft) of the eruptions. The linear correlation coefficient is r = 0.0915 and the regression equation is = 119 + 0.0331x, where x represents duration time. The mean of the 40 duration times is 245.0 sec and the mean of the 40 heights is 127.2 ft. What is the best predicted height of an eruption with a duration time of 120 min?
- In estimating the regression in the previous problem (#2), you are concerned that the t-statistics may be inflated because of serial correlation. You compute the DW statistic at 0.724 for the regression. Compute the sample correlation between the regression residuals from one period and those from the previous period. Perform a statistical test at the level to see if there is serial correlation. If you are using the table in the textbook, assume that the critical values of the DW statistic for 214 observations are about 0.11 higher than the critical values for 100 observations.I have some doubts regarding linear regression. if any 2 variables in X1, X2 AND Y have a positive correlation, then in the linear regression Y = b0 + b1X1 +b2X2 +e, will the sign of b1 and b2 both be positive? will the residuals that we get from linear regression will always be uncorrelated given X?uppose IQ scores were obtained from randomly selected couplescouples. For 2020 such pairs of people, the linear correlation coefficient is 0.8900.890 and the equation of the regression line is ModifyingAbove y with caret equals negative 0.74 plus 1.02 xy=−0.74+1.02x, where x represents the IQ score of the husbandhusband. Also, the 2020 x values have a mean of 101.17101.17 and the 2020 y values have a mean of 102.7102.7. What is the best predicted IQ of the wifewife, given that the husbandhusband has an IQ of 9999? Use a significance level of 0.05. The best predicted IQ of the wifewife is nothing. (Round to two decimal places as needed.