"You run a regression with 9 variables on Y with 40 observations. A t-stat of one of the variables come up as 2.115 for a nullhypothesis. At the 95% confidence level, you would"A reject the null hypothesis in favor of the alternative since t is greater than the critical value.B reject the null hypothesis in favor of the alternative since t is less than the critical value.fail to reject the null hypothesis since t is less than the critical value.Dfail to reject the null hypothesis since t is greater than the critical value.

Introduction: It is required to obtain the correct conclusion regarding the test of significance for…

Answered: "You run a regression with 9 variables…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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You run a regression analysis on a bivariate set of = 65). With ã = 33.3 and ū data (n 34.4, you obtain the regression equation y = – 4.369x + 60.481 with a correlation coefficient of r = 0.016. You - want to predict what value (on average) for the response variable will be obtained from a value of 10 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the standard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard deviation of 10.00. The correlation coefficient of the two score is 0.70. Obtain the least squares regression line using the second exam score to predict the first exam score.
Many high school students take either the SAT or the ACT. However, some students take both. Data were collected from 100 students who took both college entrance exams. The average SAT score was 920 with a standard deviation of 170. The average ACT score was 20 with a standard deviation of 5. The correlation coefficient r between these two variables equals 0.82. To predict the SAT score from a student’s ACT score, what is the equation of the least-squares regression line? Please show your work.
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?)
Identify two different conditions under which the regression line should not be used to make predictions.
The regression lines between two random variables X and Y is given by 3X + Y = 10 and3X + 4Y = 12 .Find the correlation between X and Y.
The data from a random sample of 75 students was used to fit a least squares regression line relating test scores to the number of hours spent playing Left for Dead 2 each week. The explanatory variable (hours spent playing Left for Dead 2) had a range of 0- 18 and the response variable (test score) ranged from 55 - 99%. The resulting prediction equation is y = 99 - 4.3x. Furthermore, the correlation coefficient is 0.85. Determine if the following statements are TRUE or FALSE. a. The association between hours playing Left for Dead 2 and test score is strong. b. As hours spent playing Left for Dead 2 decreases, test score decreases.
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
The least-squares regression line for predicting y = clutch size from x = snout-vent length is = -144 + 6.123 x. The paper also reported r2 = 0.7499 and SSTo = 46419. Find the value of se (the sample size was n = 14). (Give the answer to two decimal places.)
A researcher conducts a multiple regression analysis with two-tailed α = .05. They predict thermometer ratings for Trump during the 2016 election (0 to 100) from two other variables. One is whether people agree with the statement "political correctness has gone too far" (-3 = strongly disagree, 0 = neither agree or disagree, 3 = strongly agree). The other is whether people agree with the statement "the US has been taken advantage of by trade deals with other countries" (same scale). The coefficient for political correctness is 11.5 and p = .03. The coefficient for trade is 2.1 and p = .09. What is the researcher's substantive conclusion? A) Both viewing political correctness and trade as an issue predicted greater support for Trump B) Viewing political correctness as a problem predicted greater support for Trump, but trade views did not predict support C) Viewing trade as a problem predicted greater support for Trump, but political correctness…
A researcher conducts a multiple regression analysis with two-tailed α = .05. They predict thermometer ratings for Trump during the 2016 election (0 to 100) from two other variables. One is whether people agree with the statement "political correctness has gone too far" (-3 = strongly disagree, 0 = neither agree or disagree, 3 = strongly agree). The other is whether people agree with the statement "the US has been taken advantage of by trade deals with other countries" (same scale). The coefficient for political correctness is 11.5 and p = .03. The coefficient for trade is 2.1 and p = .09. What is the researcher's substantive conclusion?

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