Download presentation

Presentation is loading. Please wait.

1
**Simple Linear Regression**

2
**Anxiety and Performance**

To measure the relationship between anxiety level and test performance, an educational psychologist obtains a random sample of n = 6 college students from an introductory statistics course. The students are asked to come to the Educational Research and Evaluation Laboratory (EREL) 15 minutes before the final exam. In the lab, the researcher records the physiological measures of anxiety (heart rate, skin resistance, blood pressure, and so on) for each participant. Following the final, the researcher obtained the exam score for each participant. Table 1 summarizes the data.

3
**Table 1 Student Anxiety Rating Exam Score A 5 80 B 2 88 C 7 D 79 E 4**

86 F 85 Mean 83 S.D. 1.90 3.79

4
**Scatterplot B E F A C D Student Anxiety Rating Exam Score A 5 80 B 2**

88 C 7 D 79 E 4 86 F 85 B E F A C D

5
Slope Calculation

6
**Slope Calculation Student Anxiety Rating (X-`X) (X-`X)2 Exam Score**

(Y-`Y) (Y-`Y)2 (X-`X)(Y-`Y) A 5 80 -3 9 B 2 88 25 -15 C 7 4 -6 D 79 -4 16 -8 E -1 1 86 3 F 85 Mean 18 83 72 -32

7
**Slope Calculation Student Anxiety Rating X 2 Exam Score XY A 5 25 80**

400 B 2 4 88 176 C 7 49 560 D 79 553 E 16 86 344 F 85 425 S = 30 168 498 2458 (S)2 = 900

8
**Slope Calculation Student Anxiety Rating Exam Score A 5 80 B 2 88 C 7**

79 E 4 86 F 85 Mean 83 S.D. 1.90 3.79 rxy = -0.89

9
**Intercept Calculation**

Student Anxiety Rating Exam Score A 5 80 B 2 88 C 7 D 79 E 4 86 F 85 Mean 83 S.D. 1.90 3.79 rxy = -0.89 by∙x = -1.78

10
Regression Line Regression Equation for X = 4 for X = 6

11
Scatterplot (4, 84.78) (6, 81.22)

12
**Coefficient of Determination - r 2xy**

B E F DATA Student Anxiety Rating Exam Score Predicted Score A 5 80 83.00 B 2 88 88.34 C 7 79.44 D 79 E 4 86 84.78 F 85 A C D

13
**Coefficient of Determination - r 2xy**

Error between Y and `Y Error between Y and ^Y Student Anxiety Rating Exam Score ^Y (Y-`Y) (Y-`Y)2 (Y- ^Y) (Y- ^Y)2 A 5 80 83.00 -3.00 9.00 B 2 88 88.34 5.00 25.00 -0.34 0.12 C 7 79.44 0.56 0.31 D 79 -4.00 16.00 -0.44 0.19 E 4 86 84.78 3.00 1.22 1.49 F 85 2.00 4.00 Mean 83 0.00 72.00 15.11 S.D. 1.90 3.79 0.21 rxy = -0.89 r 2xy = 0.79

Similar presentations

OK

©The McGraw-Hill Companies, Inc. 2008McGraw-Hill/Irwin Linear Regression and Correlation Chapter 13.

©The McGraw-Hill Companies, Inc. 2008McGraw-Hill/Irwin Linear Regression and Correlation Chapter 13.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on natural disasters for kids Ppt on non agricultural activities in antigua Ppt on trade fair international Ppt on asian continental Full ppt on electron beam machining pdf Ppt on ufo and aliens today Ppt on question paper setting Ppt on two point perspective pictures Project ppt on student information system Ppt on indian supreme court