Tue 12/04/17 Use the information below to determine if there is a linear relatio

Question

Tue 12/04/17 Use the information below to determine if there is a linear relationship between the two variables in tproblems 1 and 2 below. For each problem: Quiz 13: Chapter 10.11 Discuss whether there is a linear relationship between the two variables. Justify your answer with the graph and/or (if appropriate) the four steps of the hypothesis test that is used to help in determining if there is a linear relationship. All of the values needed for steps 2 and 3 of the hypothesis test are below, so find them and write them down. For problem 2 I have taken out the value of the test statistic and P-value, so you will need to do a little calculating on this one. Hint: Find the sample correlation coefficient,r Write the equation of the regression line. What is the best predicted value of y for the given value of x (value of x given at the bottom of the output). Give the value of r 2 as a percentage and write a statement in context of the problem that explains what it means a. b. c. d. Fitted Line Plot 108.5-0.00670 VOL Q Coefficients Term Conetane108.5 Coef SE Coef T-Value P-Value VIF 28.2 3.85 0.001 -0.00670.0249 0.27 0.791 1.00 Regression Equation IO 108.5-0.0067 VOL Descriptive Statistics: VOL Q1 Median Q3 Maximum 20 o 1126.0 27.9 124.9 963.0 1034.3 1079.0 1196.3 1439.0 Variable N N Mean SE Hean StDev Minimm Descriptive Statistics: IQ VariableNN Mean SE Mean StDev Minimum Q1 Median z0 03 Maximum 20 0 101.00 2.95 13.21 85.00 90.0 96.50 110.50 127.00 Best predicted 1Q of someone that has a brain volume of 1450 cubic centimeters? (for part c)

Explanation / Answer

a) There is no linear relationship between the variables

since all the points are more scattered from the predicted straight line.

[if points are less scattered and exactly on strainght line, then there would be strong correlation]

So there is weak correlation between them

b) regression equation, Y = 108.5 - 0.0067*X

c) if X = 1450, then Y = 108.5 - 0.0067 * 1450 = 98.785

d) Given r2 = 0.004 or 0.4%

it indicates there is only 0.4% explained variation is accounted of IQ on VOL

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