A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter2) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the datagiven in the paper and are approximate values read from a scatterplot in the paper.BMI Change (kg/m²)0.5 -0.5 00.1 0.7 0.811.51.210.4 0.4Depression Score Change -1944581314 17 181214The accompanying computer output is from Minitab.Fitted Line PlotDepression score change = 6.512 + 5.472 BMI change20S5.26270R-Sq27.16%R-Sq (adj) 19.88%15-:10--0.5 0.01.5ⓇS5.26270CoefficientsTermCoefVIFSE Coef2.26T-Value2.88P-Value0.0164Constant6.512BMI change5.4722.831.930.0823 1.00Regression EquationDepression score change = 6.512 + 5.472 BMI change(a) What percentage of observed variation in depression score change can be explained by the simple linear regression model? (Round your answer to two decimal places.)%(b) Give a point estimate of o. (Round your answer to five decimal places.)S =Interpret this estimate.s is the typical amount by which the depression score change value differs fromwhat is predicted using the least squares regression line.(c) Give an estimate of the average change in depression score change associated with a 1 kg/m² increase in BMI change. (Round your answer to three decimal places.)Depression score change品と0.5BMI changeR-sq27.16 %1.0

From given output, the regression equation is given by Depression score change = 6.512 + 5.472 BMI…

a) what percentage of observed variation in depression score change can be explained by the simple linear regression model? (Round your answer to two decimal places.) % b) Give a point estimate of o. (Round your answer to five decimal places.) S= Interpret this estimate. s is the typical amount by which the depression score change value differs from ✓what is predicted using the least squares regression line. c) Give an estimate of the average change in depression score change associated with a 1 kg/m² increase in BMI change. (Round your answer to three decimal places.)

a) what percentage of observed variation in depression score change can be explained by the simple linear regression model? (Round your answer to two decimal places.) % b) Give a point estimate of o. (Round your answer to five decimal places.) S= Interpret this estimate. s is the typical amount by which the depression score change value differs from ✓what is predicted using the least squares regression line. c) Give an estimate of the average change in depression score change associated with a 1 kg/m² increase in BMI change. (Round your answer to three decimal places.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 3TU

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