Question

The table gives Distance X from the lake in miles, and Snowfall Y in inches for seven weather stations. Case X-MX Y-My (X-Mx )(Y-My) (X-Mx)? (Y-My) 2 3 4 5 6 7 Sum X 104 102 92 96 101 78 69 Y 8 10 13 16 14 21 26 NA NA 1. Explore the data: create a scatterplot. 1a. Type the data into a blank SPSS spreadsheet. Name variables as Distance and Snowfall respectively. Go to Graphs-Legacy Dialogs-Scatter/Dot-Simple Scatter-Define. In the window that follows, select Distance into X axis and Snowfall into Y axis. Click on OK. 1b.Double click on the scatter plot to activate it. Double click on the horizontal axis and select the Scale tab. At Auto, uncheck all boxes. At Custom, set 0 for Minimum, 110 for Maximum, 20 for Major increments, and 0 for Origin. Click on Apply. Within the same window, activate the vertical axis and set O for Minimum, 70 for Maximum, 20 for Major increments, and 0 for Origin. Ic. Continue to go to Options-Reference Line from Equation. A line appears from the origin with a positive slope. The Custom Equation window contains an equation. Enter a negative slope to change the line's direction. An approximate fitting value is -0.47, but try a few different values first to see how they will alter the line's position. Do the same to the intercept (a right value is around 58). 1d. Go to Options-X Axis Reference Line. A vertical line appears. Double click the line so that the mouse curser turns into a cross on the line. Use the cross to grab the line, and move it to line up with 0 on the horizontal axis. Similarly, create a horizontal line to line up with 0 on the vertical axis. Use Option-Title to give the graph a title. Close Chart Editor. You will come back to revise this graph later.

Answer 1

Case	X	Y	X-MeanX	Y-MeanY	(X-MeanX)(Y-MeanY)	(X-MeanX)^2	(Y-MeanY)^2
1	104	8	12.2857	-7.429	-91.265	150.939	55.184
2	102	10	10.2857	-5.429	-55.837	105.796	29.469
3	92	13	0.2857	-2.429	-0.694	0.082	5.898
4	96	16	4.2857	0.571	2.449	18.367	0.327
5	101	14	9.2857	-1.429	-13.265	86.224	2.041
6	78	21	-13.7143	5.571	-76.408	188.082	31.041
7	69	26	-22.7143	10.571	-240.122	515.939	111.755
SUM
Mean	92	15

ScatterPlot of X & Y

104 102 101 96 92 78 69 26 21 16 13 14 8 10 0 1 2 00 4 5 6 7 8

Note: the rest of the part are practice and to be done by the student in SPSS