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 (cm") (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 Y 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 b. Round to four decimal places. (e) [Free Response.] Interpret the sample slope by within the context of the problem. d) A person has a brain volume of 3478 cm3. Predict the brain weight of the person using the (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 linear regression equation. Round your answer to four decimal places. 3478 cm" and a brain weight of 1270g. Report the value of the residual. predicted? Explain within the context of the problem.

Explanation / Answer

Part a

For the given scenario, the explanatory variable or independent variable is given as brain volume, while the response variable or dependent variable is given as brain weight.

Part b.i.

Sample intercept = b0 = 325.5734

Part b.ii.

Sample slope = b1 = 0.2634

Part c

The slope for the regression line is given as 0.2634 which indicate that there is 0.2634 increment in the brain weight as per unit increment in brain volume. As per one unit increment in explanatory variable brain volume, the response variable brain weight is increased by 0.2634.

Part d

We are given brain volume = 3478 cm3

Regression equation is given as

Brain weight = 325.5734 + 0.2634*Brain volume

Brain weight = 325.5734 + 0.2634*3478

Brain weight = 1241.6790 gram

Part e

Residual = Actual weight – predicted weight

Actual weight = 1270

Predicted weight = 1240

Residual = 1270 – 1240 = 30

Residual = 30

Part f

Based on the part e, Mr. A’s brain was under predicted, because predicted weight of brain is less than actual weight of brain.

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.