I will send screen shots of the problems once you reach out

1)
The hypothesis for the linear relationship between 2 quantitative variables is given by:
Let the regression line be: Y = a+ b1X1
Then, the relationship is tested using the following null and alternative hypothesis:
The alternative hypothesis is two tailed, as the alternative hypothesis is not equal to zero and does not include any less than or greater than sign. Therefore, it will be two tail test.
To draw the line of best fit, the regression analysis will be used as it tells the relationship between the two variables and we can also predict the value of dependent variable if the regression line is constructed. To construct the regression line, we need the value of the intercept (a) and the slope (b1).
The following is the estimated regression line:
2)
The scatterplot of the 2 variables (Quiz 1 and Quiz 2) is below:
The data points shows there is a strong positive correlation between the score of 2 Quizzes.
No, there are outliers in the data. All the values are scattered nearby, none of the values act as an outlier.
The degree of correlation is strong i.e. between +0.60 to 1.
3) The correlation coefficient is calculated using the formula:
    Student
    Quiz 1 (X)
    Quiz 2 (Y)
    XY
    X*X
    Y*Y
    1
    23
    22
    506
    529
    484
    2
    30
    29
    870
    900
    841
    3
    20
    20
    400
    400
    400
    4
    26
    24
    624
    676
    576
    5
    27
    23
    621
    729
    529
    6
    23
    24
    552
    529
    576
    7
    27
    20
    540
    729
    400
    8
    19
    13
    247
    361
    169
    9
    15
    17
    255
    225
    289
    10
    18
    25
    450
    324
    625
    11
    21
    20
    420
    441
    400
    12
    26
    26
    676
    676
    676
    13
    25
    24
    600
    625
    576
    14
    26
    24
    624
    676
    576
    15
    20
    13
    260
    400
    169
    16
    30
    27
    810
    900
    729
    Total
    376
    351
    8455
    9120
    8015
    
The correlation coefficient is 0.6905.
The null and alternative hypothesis are as follows:
    
The test statistic is calculated as:
    
The critical value of t at 0.05 level of significance with (n-2) = 14 degree of freedom is 2.145.
The critical...