The data set that will be used in this assignment can be found by pressing the "ctrl" key and clicking on this link:

https://www.statcrunch.com/app/index.php?dataid=2610653

(If the link does not work, try to copy and paste the link into your browser).

We will look at the relationship between the Test 1 Scores and the Test 2 Scores in this online course during this semester. Here are some questions that come to mind:

• Is there a linear relationship between these two variables?
• If so, how strong is the relationship?
• Can we create a linear model to predict a Test 2 score given a Test 1 score?
• Does this model do a good job of predictingyour Test 2 score?

Answer the following questions using the (Test 1, Test 2) data and StatCrunch.

1. Use the data set to create a scatterplot of the two variables, Test 1 and Test 2 scores.Because we will be using Test 1 scores to predict Test 2 scores, Test 1 with be the explanatory (x) variable and Test 2 will be the response (y) variable. Does it appear that there is a linear relationship according to the scatter plot? Type your answer the field: Click here to enter text.

1. Compute the value of the linear correlation coefficient (the value of r). Type the value the field: r = Click here to enter text.

1. Interpret the relationship between Test 1 and Test 2 scores using the value of r.Be sure to describe the strength and direction in your explanation. Type in the field: Click here to enter text.

1. Compute the linear regression equation (the linear model) for the variables Test 1 scores and Test 2 scores. Be sure to include the variables, Test 1 and Test 2, for the x and y variables with an equal sign. Type the equation in the field: Click here to enter text.

1. Find your Test 1 score in the data set; this will be the explanatory (x) value you will use in the model. You may have to look in the "My Grades" tab in Blackboard if you can't recall your first test score. Type your Test 1 score here:Click here to enter text.

1. Find your Test 2 score in the data set; this will be the actual response (y) value you will use to compute the residual. Type your Test 2 score here:Click here to enter text.

1. Use the linear model and your actual Test 1 score to predict your Test 2 score; this will be the predicted response (y) value you will use to compute the residual. Type your predicted Test 2 score here:Click here to enter text.
2. Compute the residual value for your Test 2 score. Recall: Residual = actual Test 2-value - predicted Test 2-value. Type your residual here:Click here to enter text.

1. Did the model overestimate or underestimate your actual Test 2 score? Type your answer here: Click here to enter text.

1. Given your answer in question 8, do you believe this linear model was a useful model? Explain your answer here: Click here to enter text.

The link to the StatCrunch dataset

https://www.statcrunch.com/app/index.php?dataid=2610653