Question

Consider the following two variables:

x	y
45	10
23	30
17	48
19	45
41	34
13	27
39	26
37	31
24	38
12	44

What is the correlation between these two variables? Use Pearson's r, and take your answer to two decimal places.

To what two-tailed critical value of Pearson's r would you compare this? Use the provided tables, assume alpha, = 0.05, and express your answer as an absolute value. Round to two decimal places.

If you were to use x to predict y, what would the unstandardized slope of the regression line be (take your answer to two decimal places)?   

If you were to use x to predict y, what would the intercept of the regression line be (take your answer to two decimal places)?

Answer Key: -0.72|-0.62, 0.63, -0.71|-0.51, 49.59|49.89

can some one plz explain how we get those answers.

Answer 1

x	y	xy	x2	y2
45	10	450	2025	100
23	30	690	529	900
17	48	816	289	2304
19	45	855	361	2025
41	34	1394	1681	1156
13	27	351	169	729
39	26	1014	1521	676
37	31	1147	1369	961
24	38	912	576	1444
12	44	528	144	1936
270	333	8157	8664	12231	Sum
27	33.3				Average

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On putting the required value

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On putting the required value

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                           =33.3 +0.61 *27 = 49.77