The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. x 29.9 5.1 15.8 25.8 8.8 20.6 10.2 11 y 7.3 26.2 16.5 9.9 21.4 18.1 24.4 27.2 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 11. c. Estimate the change in the y variable resulting from the increase in the x variable of 11 units. d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.05. a. Complete the linear regression equation below. y? = [ ] + ([ ])x (Round to two decimal places as needed.)
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Develop a simple linear regression equation for these data. To develop a simple linear regression equation, we need to find the slope (b) and the y-intercept (a) using the formula: b = Σ((x - x̄)(y - ȳ)) / Σ((x - x̄)^2) where Σ represents the sum, x̄ is the Show more…
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