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In statistics assignment students examined the relationship between weekly time spent studying (x) statistics subject and marks obtained (y) in it. They ran simple linear regression, the excel output of which is given below: SUMMARY OUTPUT Regression Statistics Multiple R 0.8812 R Square 0.7765 Adjusted R Square 0.7485 Standard Error 7.3756 Observations 10 ANOVA 55 MS Significance F Regression 1511.7033 1511.7033 27.7889 0.0008 Residual 435.1967 54.3996 Total 1946.9000 Coefficients Standard Error t Stat P-value Lower 95% Upper 95%% Intercept 5.9217 12.7315 0.4651 0.6542 -23.4371 35.2805 Time Spent Studying 1.7049 0.3234 5.2715 0.0008 0.9591 2.4507 INSTRUCTIONS: You are required to answer the following questions by selecting the best option from the drop down window or by typing your answer in the box next to the question: (10 marks) 1. The relationship between the variable x and y is 2. The values of the intercept and slope coefficients are 3. The least square line from the above output is 4. The value of the coefficient of determination is 5. Select appropriate interpretation for slope coefficient: 6. Calculate the coefficient of correlation and type your answer in this box (round it up to 4 decimal places): = In order to determine whether there is enough evidence to conclude that a linear relationship exist between the variable y and variable x we perform hypothesis testing at 5 percent significance level. Answer the following questions: 1. The null hypothesis is Ho : B1 2. The alternative hypothesis is H1 : B1 3. As per excel output, the value of t-statistic for this test is 4. The decision rule is to reject Ho if 5. Given the observed value of the test statistic, we decide to