Calculus and Above

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Can you help me with these problems? Match the word or sentence with its correct meaning

Question 9 options:

the strength of the linear relationship between two numeric variables is measured by the

y-intercept

slope

Assuming a straight line relationship between x and y, if the correlation coefficient equals -0.80.

centroid

coefficient of determination tells you what?

residuals

Which of the following assumptions concerning the distribution of the variation around the line of regression is correct?

1. predicted value of y when x = 0

2. change in estimated average y per unit change in x

3. the proportion of total variation that is explained

4. the point that is always part of the regression line

5. the difference between the actual y values and the predicted y values

6. the distribution is normal

7. the slope is negative

8. coefficient of determinaton

Question 10 (4 points)

The coefficient of determination represents the ratio of the explained variation over the total variation

Question 10 options:

a) True

b) False

Question 11 (4 points)

The value of the correlation coefficient is always positive.

Question 11 options:

a) True

b) False

Question 12 (4 points)

The equation of the regression line for the paired data is y-hat = 6.18286 + 4.33937x. Find the standard error of estimate.

Question 12 options:a)3.1270b)2.6959c)1.6419d)0.8275

Question 13 (4 points)

The equation of the regression line for the paired data is y-hat = 6.1829 + 4.3394x and the standard error of estimate is se = 1.6419. Find the 99% prediction interval of y for x = 14.Question 13 options:a)59.6 < y < 74.2b)64.0 < y < 82.1c)66.9 < y < 79.2d)70.5 < y < 75.6

Question 14 (4 points)

The test scores of 6 randomly picked students and the numbers of hours they perpared are as follows: The equation of the regression line is y-hat = 1.06604x + 67.3491. Find the coefficent of determination.Question 14 options:a)0.6781b)0.2242c)0.0503d)-0.2242

Question 15 (4 points)

Based on the data from six students the regression equation relating number of hours of preparation (x) and test score (y) is y-hat = 67.3 + 1.07x The same data yield r = 0..224 and y-bar = 75.2. What is the best predicted test score for a student who spent 3 hours preparing for the test?

Question 15 options:a)78.1b)75.2c)59.7d)70.5

Question 16 (4 points)

Use the given data to find the equation of the regression line.Question 16 options:a)b)c)d)Question 17 (4 points)

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r = -0.174, n = 15

Question 17 options:a)Critical value: r = 0.514, no significant linear correlationb)Critical values: r = +/-0.532, no significant linear correlation.c)Critical values: r = +/- 0.514, significant linear correlation.d)Critical values: r = +/-0.514, no significant linear correlation.

Question 18 (6 points)

Use the following information to match the items with their correct values:

y-hat = 5 + 4xQuestion 18 options:

Total Variation

Unexplained Variation

Explained Variation

test statistic

Centroid

slope

standard error of estimate

y-intercept

Coefficeint of determination

Correlation Coefficient

1. (3, 17)

2. 160

3. 364

4. 524

5. 0.30534

6. 0.5526

7. 4

8. 5

9. 13.4907

10. 0.9376

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