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An infinite population has a standard deviation of 10. A random sample of 100 items from this population is selected. The sample mean is determined to be 60. At 98% confidence, the margin of error is
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1.28 |
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1.645 |
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1.96 |
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2.33 |
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None of the above |
The z value for a 90% confidence interval estimation is
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1.28 |
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1.645 |
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1.96 |
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2.33 |
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2.576 |
The t value for a 90% confidence interval estimation with 24 degrees of freedom (not the sample size n) is
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1.317836 |
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1.710882 |
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2.063899 |
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2.492159 |
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2.796939 |
A random sample of 144 observations has a mean of 20, a median of 21, and a mode of 22. The population standard deviation is known to equal 3.6. The 90% confidence interval for the population mean is
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19.62 to 20.38 |
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19.51 to 20.49 |
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19.41 to 20.59 |
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19.30 to 20.70 |
A random sample of 144 observations has a mean of 20, a median of 21, and a mode of 22, and a standard deviation of 3.6.. The 90% confidence interval for the population mean is
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19.60 to 20.40 |
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19.48 to 20.52 |
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19.33 to 20.67 |
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18.20 to 20.80 |
A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The 90% confidence interval for the true average age of all students in the university is
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19.58 to 20.42 |
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19.35 to 20.65 |
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19.15 to 20.85 |
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19.00 to 21.00 |
The following random sample from a population whose values were normally distributed was collected.
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10 |
15 |
11 |
12 |
The 95% confidence interval for μ is
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11.00 to 13.00 |
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10.23 to 13.77 |
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9.46 to 14.54 |
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8.56 to 15.44 |
For a two-tailed Z-test at a 0.05 level of significance; the table (critical) value
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-1.96 and 1.96 |
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-1.645 and 1.645 |
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-2.33 and 2.33 |
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-2.575 and 2.575 |
For a one-tailed Z-test at a 0.10 level of significance; the table (critical) value
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-1.96 and 1.96 |
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-1.645 and 1.645 |
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-1.28 and 1.28 |
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-2.575 and 2.575 |
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n = 36 |
H0: 20 |
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= 22 |
Ha: > 20 |
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= 12 |
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The test statistic equals
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1.30 |
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1.00 |
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-1.30 |
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1.50 |
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n = 36 |
H0: ≥ 20 |
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= 18 |
Ha: < 20 |
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= 6 |
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The p-value equals
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0.1587 |
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0.0668 |
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0.0228 |
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0.0107 |
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n = 36 |
H0: ≥20 |
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= 18 |
Ha: < 20 |
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= 12 |
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If the test is done at a .05 level of significance, the null hypothesis should
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not be rejected |
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be rejected |
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Not enough information is given to answer this question. |
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None of the other answers are correct. |
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n = 9 |
H0: = 50 |
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= 48 |
Ha: 50 |
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s = 3 Assume data are from normal population |
The p-value is equal to
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0.0171 |
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0.0805 |
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0.2705 |
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0.2304 |
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n = 36 |
H0: 20 |
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= 22 |
Ha: > 20 |
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s = 6 |
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The p-value equals
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0.0267 |
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0.0403 |
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0.1621 |
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0.1733 |
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= 36 |
H0: μ ≥ 20 |
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= 18 |
Ha: μ < 20 |
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s = 6 |
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If the test is done at a .05 level of significance, the null hypothesis should
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not be rejected |
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be rejected |
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Not enough information is given to answer this question. |
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None of the other answers are correct. |
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n = 9 |
H0: = 50 |
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= 53 |
Ha: 50 |
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= 3 Assume data are from normal population |
The p-value is equal to
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0.0455 |
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0.0027 |
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0.2703 |
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0.3173 |
A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation = 50,000 − 8x The above equation implies that an
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increase of $1 in price is associated with a decrease of $8 in sales |
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increase of $8 in price is associated with an increase of $8,000 in sales |
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increase of $1 in price is associated with a decrease of $42,000 in sales |
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increase of $1 in price is associated with a decrease of $8000 in sales |
In a regression analysis if SSE = 500 and SSR = 300, then the coefficient of determination is
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0.6000 |
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0.1666 |
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1.6666 |
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0.3750 |
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable).
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x |
y |
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2 |
12 |
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9 |
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6 |
8 |
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7 |
7 |
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8 |
6 |
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7 |
5 |
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9 |
2 |
The least squares estimate of b0 equals
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-0.7647 |
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-0.1125 |
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13.75 |
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16.412 |
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable).
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x |
y |
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2 |
12 |
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3 |
9 |
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6 |
8 |
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7 |
7 |
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8 |
6 |
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7 |
5 |
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9 |
2 |
The coefficient of determination equals
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0.7705 |
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-0.9941 |
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0.9941 |
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0.8438 |
Below you are given a partial computer output based on a sample of fifteen (15) observations.
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ANOVA |
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df |
SS |
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Regression |
1 |
50.58 |
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Residual |
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Total |
14 |
106.00 |
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Coefficients |
Standard Error |
t Stat p-value |
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Intercept |
16.156 |
1.42 |
0.0000 |
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Variable x |
-0.903 |
0.26 |
0.0000 |
The estimated regression equation (also known as regression line fit) is
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Y = 0 + 1X1 + ε, |
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E(Y) = 0 + 1X1 + 2X2 |
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Ŷ = -0.903 + 16.156X1 |
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Ŷ = 16.156 - 0.903X1 |
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none of the above |
Below you are given a partial computer output based on a sample of fifteen (15) observations.
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ANOVA |
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df |
SS |
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Regression |
1 |
50.58 |
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Residual |
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Total |
14 |
106.00 |
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Coefficients |
Standard Error |
t-stat |
p-value |
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Intercept |
16.156 |
1.42 |
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0.0000 |
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Variable x |
-0.903 |
0.26 |
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0.0000 |
To test whether the parameter 1 is significantly different from zero (i.e., Ha: β1
≠ 0), the calculated test statistic equals
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2.0619 |
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-1.628 |
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-3.473 |
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11.377 |
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none of the above |
Below you are given a partial computer output based on a sample of fifteen (15) observations.
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ANOVA |
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df |
SS |
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Regression |
1 |
50.58 |
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Residual |
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Total |
14 |
106.00 |
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Coefficients |
Standard Error |
t Stat |
p-value |
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Intercept |
16.156 |
1.42 |
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0.0000 |
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Variable x |
-0.903 |
0.26 |
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0.0000 |
To test whether the parameter 1 is significantly different from zero (i.e., Ha: β1
≠ 0) at 10% significance level, the critical value (table value)
for the test is
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2.571 |
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2.160 |
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2.015 |
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1.771 |
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none of the above |
Below you are given a partial computer output based on a sample of fifteen (15) observations.
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ANOVA |
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df |
SS |
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Regression |
1 |
50.58 |
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Residual |
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Total |
14 |
106.00 |
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Coefficients |
Standard Error |
t Stat |
p-value |
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Intercept |
16.156 |
1.42 |
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0.0000 |
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Variable x |
-0.903 |
0.26 |
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0.0000 |
To test whether the parameter 1 is significantly different from zero (i.e., Ha: β1
≠ 0) at 10% significance level, we will conclude to
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reject H0 and conclude β1 = 0 |
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reject H0 and conclude β1 ≠ 0 |
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fail to reject H0 and conclude β1 = 0 |
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fail to reject H0 and conclude β1 ≠ 0 |
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none of the above |
Below you are given a partial computer output based on a sample of fifteen (15) observations.
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ANOVA |
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df |
SS |
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Regression |
1 |
50.58 |
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Residual |
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Total |
14 |
106.00 |
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Coefficients |
Standard Error |
t Stat |
p-value |
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Intercept |
16.156 |
1.42 |
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0.0000 |
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Variable x |
-0.903 |
0.26 |
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0.0000 |
The coefficient of determination is.
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0.5228 |
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0.4772 |
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0.6535 |
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0.3465 |