Let's assume a particular sample of Math classes contains several student GPA's from a minimum of 3.3 and a max of 4.0. The researcher would like to use a regression line to make estimations for future students who take this class and eventually graduate. Another student in a history class whose GPA is 3.1 would also like to use this regression line. A) can this regression line be used for the History student?

Let's assume a particular sample of Math classes contains several student GPA's from a minimum of 3.3 and a max of 4.0. The researcher would like to use a regression line to make estimations for future students who take this class and eventually graduate. Another student in a history class whose GPA is 3.1 would also like to use this regression line. A) can this regression line be used for the History student?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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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?
State the four conditions required for making regression inferences.
Identify two different conditions under which the regression line should not be used to make predictions.
What is the maximum and mininumber of the range regarding the explanatory variable for which the regression model can make valid predictions?
Assume that the variables under consideration satisfy the assumptions for regression inferences. Based on a sample of data points, what is the best estimate of the population regression line?
1. Prior to being hired, the ve salespersons for a computer store were given a standard sales aptitude test. For each individual, the score achieved on the aptitude test and the number of computer systems sold during the first 3 months of their employment are shown in the attached image. (a) Determine the least-squares regression line and interpret its slope. (b) Estimate, for a new employee who scores 60 on the sales aptitude test, the number of units the new employee will sell in her first 3 months with the company. (c) Find the standard error of estimate. (d) Find the r-square of the model.
Show that an interaction term of a dummy variable and a regressor changes the slope of a regression line..
The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line. ^y=b0+b1x for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. 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. Hours Studying 2 3 4 5 6 Midterm Grades 60 81 86 98 100 Find the error prediction when x= 5. Round your answer to three decimal places. * What we know: Estimated slope b1=9.700Estimated intercept b0=46.200
Let’s assume a particular sample of Math classes contains several student GPAs from a minimum of 3.3 and a maximum of 4.0. The researcher would like to use a regression line to make estimations for future students who take this class and eventually graduate. Another student in a History class whose GPA is 3.1 would also like to use this regression line. (a) Can this regression line be used for the History student? Explain.
how to plot the estimated regression line on the scatter diagram in letter c and how to solve for letter d with graph
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
True or false (Explain why.): A school administrator is running a regression of fall quarter final grades (Y ) on undergraduate grades (X). Since he only has data on graduate students, he does not have people who performed poorly in their undergraduate studies. His sample is therefore nonrandom (selection on X) and her estimates will be biased.