Question: 4a. Assess the relationship between average sleep and GPA using a scatter plot. Include a screenshot of your well-labeled scatter plot. What does the scatter
4a. Assess the relationship between average sleep and GPA using a scatter plot. Include a screenshot of your well-labeled scatter plot. What does the scatter plot tell you about the data? Explain.4b. State the value for the correlation coefficient, r. What does this tell you about the relationship between average sleep and the student's GPA? Be specific. (3 pts) R -0.061 4c. Fit a regression line (line of best fit) to the data. State the equation for the regression line and interpret the slope and the y-intercept. (5 pts) 4d. How well does the regression line from part 4c fit the data? Calculate and interpret the coefficient of determination. What does this tell you about average sleep and GPA? (4 pts)
Descriptive Statistics: Variable n Mean Std. Dev. Min. Q1 Median Q3 Max. GPA 253 3.244 0.404 2.000 3.000 3.300 3.500 4.000 Average Sleep 253 7.966 0.965 4.950 7.430 8.000 8.590 10.620 Scatterplot Regression Line: y = 3.45 - 0.0254x 4 3.5 O DO O GPA 3 CODO 00 OO OO O 2.5 ... 2 5 8 9 10 Average Sleep Linear Regression Equation: Parameter Estimate Standard Error t Statistic P-value Intercept 3.446 0.2118 16.27Step by Step Solution
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