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: [Marks 12) SUMMARY OUTPUT Multiple anby y 047765 Adjusted A Square 0.740 Standard Error 95CEL Reservation 10 ANCIVA MS Ragression 1541.7083 1581.7033 27.7880 Residual 435.1967 54.3996 1945.9000 Convict Standard Error z Stat inparcapt 5.9217 12.7315 074651 016542 -234371 35.21915 Time Spent Soudying 1.7040 5.2715 0.950 24507 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: (Marks 12) 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 : 81 2. The alternative hypothesis is $1 : 81 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