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January 29, 2015

January 29, 2015

Posted by **Cole Brown** on Monday, March 4, 2013 at 1:06am.

X Y

1 6

4 1

1 4

1 3

3 1

Sketch a scatter plot and estimate the value of the

Pearson correlation.

b. Compute the Pearson correlation

2. For the following set of scores,

X Y

6 4

3 1

5 0

6 7

4 2

6 4

a. Compute the Pearson correlation.

b. Add 2 points to each X value and compute the correlation for the modified scores. How does adding a constant to every score affect the value

of the correlation?

c. Multiply each of the original X values by 2 and compute the correlation for the modified scores. How does multiplying each score by a constant

affect the value of the correlation?

3. To simplify the weight variable, the women are classified into five categories that measure actual weight relative to height, from 1 thinnest

to 5 heaviest. Income figures are annual income (in thousands), rounded to the nearest $1,000.

a. Calculate the Pearson correlation for these data.

b. Is the correlation statistically significant? Use a two-tailed test with .05.

Weight (X) Income (Y)

1 125

2 78

4 49

3 63

5 35

2 84

5 38

3 51

1 93

4 44

4. Assume a two-tailed test with .05.

(Note: The table does not list all the possible df values. Use the sample size corresponding to the appropriate

df value that is listed in the table.)

a. A correlation of r 0.30.

b. A correlation of r 0.25.

c. A correlation of r 0.20.

5. A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n 15 college students. The SAT scores have a mean of M 580

with SS 22,400, and the GPAs have a mean of 3.10 with SS 1.26, and SP 84.

a. Find the regression equation for predicting GPA from SAT scores.

b. What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r, then find r2.)

c. Does the regression equation account for a significant portion of the variance in GPA? use a=.05 to evaluate the F-ratio.

6. a. One set of 20 pairs of scores, X and Y values, produces a correlation of r 0.70. If SSY 150, find the standard error of estimate for the regression line.

b. A second set of 20 pairs of X and Y values produces of correlation of r 0.30. If SSY 150, find the standard error of estimate for the regression line.

7. A researcher obtained the following multiple-regression equation using two predictor variables:

Yˆ 0.5X1 4.5X2 9.6. Given that SSY 210, the

SP value for X1 and Y is 40, and the SP value for X2 and Y is 9, find R2, the percentage of variance accounted for by the equation.

- Stat -
**Dr. Jane**, Monday, March 4, 2013 at 9:12amLooks like someone's homework assignment or maybe even a take home test. No one here will do your homework. Work out the problems and we will be happy to check your answers.

- Stat -
**jkj**, Tuesday, April 30, 2013 at 11:51pmkkj

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