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Stat 200 HOMEWORK 7
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Lane Chap. 14

2. The formula for a regression equation is Y’ = 2X + 9.

a. What would be the predicted score for a person scoring 6 on X?

The predicted score for that person would be,

Y = 2*6+9 = 21

b. If someone’s predicted score was 14, what was this person’s score on X?

In this case Y = 14 thus,

14 = 2X+9

• X = (14-9)/2 = 2.5

Thus the score on X was 2.5.

6. For the X, Y data below, compute:

a. r and determine if it is signiﬁcantly different from zero.

The obtained output from Minitab is given below,

Correlation: X, Y

Pearson correlation of X and Y = 0.849

P-Value = 0.032

From the above output we can see that the correlation coefficient between X and Y is 0.849 with corresponding P value 0.032. As the P value is smaller than the significance level of 0.05 so we can conclude that the correlation coefficient is significantly different from zero.

b. the slope of the regression line and test if it differs signiﬁcantly from zero.

Using the data analysis tool pack of Excel the obtained output is given below,

 SUMMARY OUTPUT Regression Statistics Multiple R 0.8492 R Square 0.7211 Adjusted R Square 0.6514 Standard Error 3.5028 Observations 6 ANOVA df SS MS F Significance F Regression 1 126.9207 126.9207 10.3441 0.0324 Residual 4 49.0793 12.2698 Total 5 176 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 3.1231 3.1085 1.0047 0.3719 -5.5075 11.7537 X 1.1332 0.3523 3.2162 0.0324 0.1550 2.1115

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