Consider the Data Set Shown in the Table $\begin{array}{|ll|}\underline {X}& \underline{Y}\\2 & 8 \\5 & 5 \\6 & 1 \\8 & 4 \\9 & 7\end{array}$

question 20

Essay

Consider the data set shown in the table.
​
$\begin{array}{|ll|}\underline {X}& \underline{Y}\\2 & 8 \\5 & 5 \\6 & 1 \\8 & 4 \\9 & 7\end{array}$ ​
(a) Make a graph of the data points.
(b) Calculate the slope and Y-intercept.
(c) Plot the linear least squares line on your graph.
(d) Make a second graph showing the residuals.
(e) Calculate the t-value for a significance test of the slope of your linear least squares line.
(f) Using your results from (e), make a statement about the significance of the relationship between the X and Y values.

---

Definitions:

Affective

Relating to moods, feelings, and attitudes; often used in psychology to describe emotions or responses.

Cognitive

Refers to processes related to thinking, reasoning, problem-solving, and remembering.

Projective Techniques

Psychological assessment tools that use ambiguous stimuli to elicit responses revealing aspects of an individual's personality.

Humanistic Clinicians

Therapists or counselors who apply principles of humanistic psychology, focusing on individual potential and stressing the importance of growth and self-actualization.