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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of vaiables have a significant correlation ) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below (a) x 2 hours (c)x-15 hours (b) x = 2.5 hours (d) x=4 5 hours 39 43 50 47 64 68 Find the regression equation (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed) Choose the correct graph below OA. O B. OC. O D 80 Hours sludying Hours studying Hours studying Hours sudying Click to select your answer(s)
math   Statistics-And-Probability   
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For findingthe regs the following columns equation, we compute 39 1.00 43 4.00 SO 4.00 2500.00 100.00 47 16.00 22 64 25.00 4096.00 320.00 68 25.00 4624.00 340.00 1521.00 39.00 1849.00 86.00 4 09.00 188.00 Sum 311 75 16799 1073 number of observations We find M, N in the linear regression lind such that 6(1073) (19) (311) 6(75) (19) Slope B1 B1-5.944 Rounded to 3 decimals Intercept Bo- £y -Bi2x BO 33.01 Regression equation is given by 311 (5.9438) (19) 1n Rounded to 2 decinals 5.944 x +33.01 Scatter Plot is given by Hours Spent Studying X, Test Score Y 80 +Test Score, y Predicted Test Score, y Linear (Predicted Test Score, v Hours Spent Studying, x Correct graph in the given options is a) Predicted value of y forx- 2 hours y = 5.944 X + 33.01 5.944 (2) 33.01 Y-44.898 b) Predicted value of y forx-2.5 hours 5.944X 33.01 5.944 (2.5) 33.01 47.87 c) Predicted value of y for x-15 hours 5.944X+33.01 5.944 (15) +33.01 Y 122.17 d) Predicted value of y for x 15 hours y 5.944+33.01 5.944 (4.5) 33.01 Y = 59.758

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