3. Brain Weight and its Volume The file called brain.jmp contains data on the vo

Question

3. Brain Weight and its Volume The file called brain.jmp contains data on the volume of 237 human brains, as well as its corresponding weight (g). We want to predict the brain weight(g) based on the brain volume (cm3) (a) [Free Response.] Identify the Explanatory and Response Variables. Make sure you use exact wording from problem statement. (b) Fit a least squares regression model to the data (in JMP) through the commands Analyze Fit by X. correctly casting the variables into their roles of "Y" and "X" Then select Fit Line from the "red triangle" menu. Using the output, report i. The value of the sample intercept bo. Round to four decimal places ii. The value of the sample slope bi. Round to four decimal places. (c) Free Response.] Interpret the sample slope b within the context of the problem. (d) A person has a brain volume of 3478 3. Predict the brain weight of the person using the linear regression equation. Round your answer to four decimal places 3478 cm3 and a brain weight of 1270g. Report the value of the residual predicted? Explain within the context of the problem (e) Assume that the predicted brain weight from 3d was 1240 g. Mr. A has a brain volume of (f) [Free Response. Based on the residual from 3e, was Mr As brain over or under

Explanation / Answer

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a) Explanatoy: Brain volume

Response = Brain weight

b) Brain weight = 325.57342 + 0.2634293 * Brain volume

Intercept = 325.57342

Slope = 0.2634

c) Slope = 0.2634293

If brain volume increases by 1 units, brain weight increases by 0.2634 units

d) x = 3478

Brain weight = 325.57342 + 0.2634293 * 3478

Brain weight = 1241.7805

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