3. Do the data shown below indicate that there is a statistically significant linear relationship between the two variables, at the 5% level? -2 -1 0 1 1 3 X y 1 5 2 5
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- Find the correlation coefficient between the “modules studied in the last semester and number of hours spend on reading the books” from your collected data.The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5920 5370 6500 5100 5890 4800 Variability in 1.76 1.91 1.50 braking distance, y EEE Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Ha: P 0 0 1.86 1.62 1.67 MIf X, Y and Z are uncorrelated and independent variables with the same variance o? and zero mean. find the correlation coefficient between (X +Y) and (Y +Z).
- Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5930 5390 6500 5100 5890 4800 Variability in braking distance, y 1.76 1.95 1.91 1.62 1.64 1.50 1.Setup the hypothesis for the test. Choose a or b H0: ρ ▼ A.less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0 Ha: ρ ▼ A. less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0 2.Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) Fill the correct answer A. The critical value is= B. The critical…The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5980 5340 6500 5100 5860 4800 Variability in braking distance, y 1.76 1.98 1.92 1.61 1.66 1.50 Setup the hypothesis for the test. Find the crtical value Find the test statistic Interpret the claim
- The correlation coefficient computed for the relationship between a dependent variable Y and an independent variable X is -0.35. This result means thatA. 35% of the variation of the dependent variable Y is due to the linear relationship between Y and X.B. 12.25% of the variation of the dependent variable Y is due to the linear relationship between Y and X.C. There is a weak, negative relationship between Y and X.D. There is a very weak, negative relationship between Y and X.The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.05. Weight, x 5910 5390 6500 5100 5820 4800 Variability in braking distance, y 1.78 1.94 1.88 1.58 1.64 1.50The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.05. Weight, x 5930 5330 6500 5100 5810 4800 Variability in braking distance, y 1.77 1.95 1.86 1.57 1.61 1.50 Setup the hypothesis for the test. choose H0: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Ha: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is nothing. B. The critical values are −t0= and t0=. Calculate the test…
