#### Question Details

**Question:**QUESTION 1

- The correlation coefficient must be
- 1.a value from negative infinity to positive infinity
- 2.a value from zero to positive infinity
- 3.a value from zero to negative infinity
- 4.a value from zero to positive one
- 5.a value from zero to negative one
- 6.a value from negative one to positive one
- 7.none of these

QUESTION 4

- Determine the y-intercept if the average of the y values is 5.8, the slope coefficient is 9.89, and the average of x values is 9.3. formula 14.8
- Enter your response to two decimals (i.e. -2.12) and be sure to include the negative sign if appropriate. It may help you to draw the line on an x,y graph.

QUESTION 6

- The coefficient of determination (r_squared), as a decimal, must be
- 1.a value from negative infinity to positive infinity
- 2.a value from zero to positive infinity
- 3.a value from zero to negative infinity
- 4.a value from zero to positive one
- 5.a value from zero to negative one
- 6.a value from negative one to positive one
- 7.none of these

**QUESTION 7**

Calculate SSE (sum of squared error/residuals) for the following pairs of Y(10.49,11.04,10.78,10.03) YHAT(10.97,11.51,10.36,10.77)Enter your response to two decimals (i.e. 0.12).

QUESTION 8

- Calculate MSE (unbiased estimate of sigma^2) where SSE (sum of squared residuals) is 29.77 for a sample of 35 (n) pairs of x (independent variable) and y (dependent variable) values. Enter your response to two decimals (i. e. 0.12).

QUESTION 9

- Calculate the coefficient of determination (r_squared) for the following sample of 4 pairs of x and y values.

X 39.95,50.64,51.06,52.74

Y38.66,46.59,58.2,51.93

QUESTION 10

- Calculate s (standard error of the estimate) where SSE (sum of squared residuals) is 27.06 for a sample of 20 (n) pairs of x (independent variable) and y (dependent variable) values. Enter your response to two decimals (i. e. 0.12).

**1 pointsÂ Â **

QUESTION 11

- Choose the following which likely best describes the relationship between weight of vehicles and their miles per gallon.
- 1.positive correlation
- 2.negative correlation
- 3.no correlation

QUESTION 12

- Calculate the estimated standard deviation (sb1) of the slope coefficient for the following sample of 4 pairs of x and y values.

X 59.8,44.47,40.91,39.27

Y58.8,56.47,45.14,46.49

Enter your response to three decimals (i.e. 0.123).

QUESTION 13

- Determine the critical value of the test statistic for correlation (t) for a regression model for a sample of 35 pairs of x,y values. Enter your response to three decimal places. Use alpha = 0.05 for the level of significance.
- Use the TINV function.

**1 pointsÂ Â **

QUESTION 14

- Determine the calculated value of the test statistic (t) for the slope for a regression model where the slope coefficient is 3.87 and the standard error of the slope is 1.64. Enter your response to two decimal places.

**1 pointsÂ Â **

QUESTION 15

- Choose the best response, assuming you have calculated t as 1.065 and the critical value is 2.462, for an upper-tail test of the slope.
- 1.reject Ho: and conclude the slope is negative
- 2.reject Ho: and conclude the slope is positive
- 3.fail to reject Ho: and conclude the slope may be zero
- 4.none of these

**1 pointsÂ Â **

QUESTION 16

- Determine the margin of error that would be used to estimate the slope for a least squares simple linear regression model if the (standard error) estimate of the standard deviation of the slope (sb1) was 4.97, there were 28 (n) observations in the data set for the sample, and the desired level of significance (alpha) is 0.1. Use the appropriate critical value of t, to four decimals, and do not round any other values in your calculations. Enter your response to 2 decimals (i.e. 2.12).

**1 pointsÂ Â **

QUESTION 17

- Determine the upper limit of the confidence interval to estimate the slope for a least squares simple linear regression model if the slope coefficient from the sample is 3.41, the (standard error) estimate of the standard deviation of the slope (sb1) is 0.56, there were 26 observations in the data set for the sample, and the desired level of significance (alpha) is 0.02. Use the appropriate critical value of t, to four decimals, in your calculations and do not round intermediate steps. Enter your response to 2 decimals (i.e. 2.12).

**1 pointsÂ Â **

QUESTION 18

- Assume you have conducted a simple linear regression analysis of profit amount by sales amount and the interval estimate of the slope coefficient is from 0.10 to 0.30. Choose the following that represents what should be concluded from the analysis.
- 1.fail to reject the null hypothesis and conclude that the slope may be zero (average profit per unit increase in sales may be zero for the population of sales from which this sample was selected)
- 2.fail to reject the null hypothesis and conclude that the slope is not zero (average profit per unit increase in sales is in the range of 0.10 to 0.30 for the population of sales from which this sample was selected)
- 3.reject the null hypothesis and conclude that the slope may be zero (average profit per unit increase in sales may be zero for the population of sales from which this sample was selected)
- 4.reject the null hypothesis and conclude that the slope is not zero (average profit per unit increase in sales is in the range of 0.10 to 0.30 for the population of sales from which this sample was selected)
- 5.all of these are true
- 6.none of these are true

**1 pointsÂ Â **

QUESTION 19

- Determine the value of the residual for a least squares simple linear regression model where the predicted value of y (y-hat) is 75.1, for a given value of x, and the observed value of y from the sample is 61.69. formula 14.10
- Enter your response to 2 decimals (i.e. 2.12). Include the negative sign, if appropriate.

**1 pointsÂ Â **

QUESTION 20

- In a regression analysis, the error term (epsilon) is a random variable with a mean or expected value of
- 1.zero
- 2.one
- 3.any positive value
- 4.any value

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