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 data given in the paperand are approximate values read from a scatterplot in the paper.BMI Change (kg/m²)1.5 1.10.2 | 0.20.5-0.50.10.70.811Depression Score Change-194468131417181214The accompanying computer output is from Minitab.Fitted Line PlotDepression score change = 7.200 + 4.789 BMI change* 20-5.38756R-SqR-Sg (adj) 14.09%21.90%15 -:10-5-..0--0.50.00.51.01.5BMI changeR-sq5.3875621.90%CoefficientsTermCoefSE CoefT-ValueP-ValueVIFConstant7.2002.213.260.0086BMI change4.7892.861.670.12491.00Regression EquationDepression score change = 7.200 + 4.789 BMI changeDepression score 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.)

a) The percentage of observed variation in depression score can be explained by the simple linear…

A paper gives data on x - change in Body Mass Index (BMI, in kilograms/meter) 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 data given in the paper and are approximate values read from a scatterplot in the paper. BMI Change (kg/m?) -0.5 0.8 1 0.5 0.1 0.7 1.5 1.1 1 0.2 0.2 Depression Score Change 14 17 18 12 -1 9. 4 13 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 7.200 + 4.789 BMI change 5.38756 21.90% R-Sa (adj) 14.09% R-Sa 15 10. I 5-