The ANOVA summary table to the right is for a multiple regression model with sixindependent variables. Complete parts (a) through (e).Draw a conclusion. Choose the correct answer below.(3)Degrees ofSource FreedomRegressionErrorTotal62632Sum ofSquares240190430A. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than thecritical value.O B. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is less than the level ofsignificance.C. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than thelevel of significance.D. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than thecritical value. The ANOVA summary table to the right is for a multiple regression model with sixindependent variables. Complete parts (a) through (e)....d. Compute the coefficient of multiple determination, r², and interpret its meaning.² = (Round to four decimal places as needed.)Interpret the meaning of the coefficient of multiple determination.The coefficient of multiple determination indicates that % of the variation in thevariables.(Round to two decimal places as needed.)e. Compute the adjusted r².radi(Round to four decimal places as needed.)SourceRegressionErrorTotalDegrees of Sum ofFreedom Squares24019043062632variable can be explained by the variation in the

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Answered: The ANOVA summary table to the right is…

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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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
The local utility company surveys 11 randomly selected customers. For each survey participant, the company collects the following: annual electric bill (in dollars) and home size (in square feet). Output from a regression analysis appears below: Bill = 12.4 +4.54*Size Coefficients Estimate Std. Error (Intercept) 12.4 Size 4.54 0.6 0.85 dollars and We are 80% confident that the mean annual electric bill increases by between dollars for every additional square foot in home size. Round your answers to three decimal places and enter in increasing order.
The average height of a large group of children is 43 inches, and the SD is 1.2inches. The average weight of these children is 40 pounds, and the SD is 2pounds. The correlation between the two variables is r = 0.65.A scatter diagram is drawn, with height on the horizontal axis and weight on thevertical axis. The scatter diagram is football shaped. The regression line forpredicting weight based on height is drawn through the scatter.(a) Predict the weights and the typical size of the error for those predictions ineach of the following case:A child who is 43 inches tall is predicted to weigh _____________ pounds, give ortake _____________ pounds.A child who is 41.8 inches tall is predicted to weigh ____________ pounds, give ortake _____________ pounds.
The average height of a large group of children is 43 inches, and the SD is 1.2inches. The average weight of these children is 40 pounds, and the SD is 2pounds. The correlation between the two variables is r = 0.65.A scatter diagram is drawn, with height on the horizontal axis and weight on thevertical axis. The scatter diagram is football shaped. The regression line forpredicting weight based on height is drawn through the scatter.(a) Predict the weights and the typical size of the error for those predictions ineach of the following case:A child who is 43 inches tall is predicted to weigh _____________ pounds, give ortake _____________ pounds.A child who is 41.8 inches tall is predicted to weigh ____________ pounds, give ortake _____________ pounds. 37 pounds and is 41.8 inches tall. Relative to allchildren with the same height, this child’s weight is (pick one)(i) smaller than average(ii) about average(iii) larger than average(iv) impossible to determineShow your work and justify…
What kind of plot is useful for deciding whether finding a regression line for a set of data points is reasonable?
Brain size Does your IQ depend on the size of yourbrain? A group of female college students took a test thatmeasured their verbal IQs and also underwent an MRI scan to measure the size of their brains (in 1000s of pix-els). The scatterplot and regression analysis are shown, and the assumptions for inference were satisfied.Dependent variable is: IQ_VerbalR-squared = 6.5% s = 21.5291 df = 18Variable Coefficient SE(Coeff)Intercept 24.1835 76.38Size 0.098842 0.0884a) Test an appropriate hypothesis about the associationbetween brain size and IQ.b) State your conclusion about the strength of thisassociation.
The local utility company surveys 12 randomly selected customers. For each survey participant, the company collects the following: annual electric bill (in dollars) and home size (in square feet). Output from a regression analysis appears below: Bill = 15.9 + 4.45*Size Coefficients Estimate Std. Error (Intercept) 15.9 0.3 Size 4.45 0.57 We are 98% confident that the mean annual electric bill increases by between dollars and dollars for every additional square foot in home size.

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