Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.930 and the equation of the regression line is y=−10.69+1.11x, where x represents the IQ score of the twin born first. Also, the 20 x values have a mean of 98.28 and the 20 y values have a mean of 98.5. What is the best predicted IQ of the twin born second, given that the twin born first has an IQ of 92? Use a significance level of 0.05. LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. Question content area bottom Part 1 The best predicted IQ of the twin born second is enter your response here. (Round to two decimal places as needed.)

Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.930 and the equation of the regression line is y=−10.69+1.11x, where x represents the IQ score of the twin born first. Also, the 20 x values have a mean of 98.28 and the 20 y values have a mean of 98.5. What is the best predicted IQ of the twin born second, given that the twin born first has an IQ of 92? Use a significance level of 0.05. LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. Question content area bottom Part 1 The best predicted IQ of the twin born second is enter your response here. (Round to two decimal places as needed.)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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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?
Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.892 and the equation of the regression line is Modifying Above y= -1.91 + 1.01 x, where x represents the IQ score of the twin born the second. Also, the 20 x values have a mean of 100.07 and the 20 y values have a mean of 98.8 What is the best predicted IQ of the twin born first twin born first,given that the twin born second twin born secondhas an IQ of 96?Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r NOTE: To test H0: rhoρequals=0 against H1: rhoρnot equals≠0, reject H0 if the absolute value of r is greater than the critical value in the table. n a=0.05 a=0.01 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10…
Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is r = 0.914 and the equation of the regression line is y = 9.87+0.9x, where x represents the IQ score of the twin born first and y represents the IQ score of the twin born second. What is the bestpredicted IQ of the twin born second, given that the twin born first has an IQ of 107?What does the r value tell you about the relationship between the IQ scores of twins?What is the Value for r squared? What does the r squared statiscic mean in this scenario?
If x and y in a regression model are totally unrelated, _______. the coefficient of determination would be 0 the MSE would be 0s the SSE would be 0 the correlation coefficient would be -1 the coefficient of determination would be 1
For 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 a study of possible correlation between the height in cm (X) and the weight in kg (Y) of chimpanzees, a sample of 40 animals produces a correlation coefficient of r=0.813 and a regression line with equation Y=0.34X+19.5. What is the expected weight of a chimpanzee that is 157 cm tall? Round off final answer to 2 decimal places.
A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45, SSY = 90. a) If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SSregression) and how much would not be predicted (SSresidual)? b) Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)
The average midterm score in a large statistics class was 65 with an SD of 15. The average final score in the same class was 70 with an SD of 10. The correlation coefficient between midterm and final scores was r-0.6. Using the regression line, we predict the final score of a student with a midterm score of 80 to be but this prediction is likely to be off by about
Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a standard deviation of 122 In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47 How do i find the regression line using the equation
A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed. Find the standard error of estimate for the regression equation. How big would the standard error be if the sample size were n = 30.
Given that the means of x and y are 64 and 66 , their standard deviations are 2.8 and 3.2 respectively and the coefficient of correlation between them is 0.5. 1) write down the regression lines.