Using the regression with the values rounded to the nearest hundredth, find the value of y at x = 9. Round your answer to the nearest hundredth if necessary. X 0 1 2 3 4 5 6 7 y 3.67 5.24 7.04 10.31 9.83 11.04 14.68 15.02
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- Run a regression analysis on the following bivariate set of data with y as the response variable. Verify that the correlation is significant at an α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 43 on the response variable.Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r=0.884 Calculate the coefficient of determination. (Round to three decimal places as needed.)Determine the regression equation for the data round the final values to the three significant digits if necessary
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- The multiple regression describes how the mean value of y is related to the xi independent variables. The parameters ?i are used to describe how the mean value of y changes for a one-unit increase in xi when the other variables are held constant. The given estimated regression equation follows where x1 is the high-school grade point average, x2 is the SAT mathematics score, and y is the final college grade point average. ŷ = −1.38 + 0.0232x1 + 0.00482x2 If the variable x2 is held constant, then only changes in x1 will impact the predicted values of ŷ. Since the coefficient of x1 is positive, for each one-unit increase of x1, the values of ŷ will increase by the value of ?1, where ?1 = . In context, for each one point increase of the high-school grade point average, the final college grade point average will increase by this amount when the SAT mathematics score does not change. If the variable x1 is held constant, then only changes in x2 will impact the predicted values of ŷ. Since the…Based on the firm's data and the regression line, complete the following. A. For these data, values for campaign cost that are less than the mean of the values for campaign cost tend to be paired with values for percentage increase in sales that are (greater than) or (less than) the mean of the values for percentage increase in sales. B. According to the regression equation, for an increase of one million dollars in advertising campaign cost, there is a corresponding increase of how many percent in sales?In a regression analysis, the coefficient of determination (r2) Select one: a. is equal to zero for a perfect fit. b. takes values between -1 to +1. c. is used to evaluate the goodness of fit. d. is equal to negative one for the poorest fit.
