Question

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x	88	99	66	1212	1515	1313	1111	1010	77	55	1414
y	15.0915.09	16.9816.98	10.3110.31	20.6920.69	21.4321.43	21.2721.27	19.7819.78	18.5518.55	12.8712.87	7.437.43	21.5121.51

y(^ above the y)=?+?. Round to two decimals as needed.

Answer 1

Necessary table for getting the regression equation:-

x	y	x^2	y^2	xy
8	15.09	64	227.7081	120.72
9	16.98	81	288.3204	152.82
6	10.31	36	106.2961	61.86
12	20.69	144	428.0761	248.28
15	21.43	225	459.2449	321.45
13	21.27	169	452.4129	276.51
11	19.78	121	391.2484	217.58
10	18.55	100	344.1025	185.5
7	12.87	49	165.6369	90.09
5	7.43	25	55.2049	37.15
14	21.51	196	462.6801	301.14
sum=110	sum=185.91	sum=1210.0	sum=3380.9	sum=2013.1

So,we have:-

hence,our regression equation be:-

I am using minitab to solve the problem.

steps:-

Copy the data in two columns of minitab namely x and y graph scatterplot simple selecy y in y variables and x in x variables ok.

so your scatterplot be:-

decision from scatterplot:-

here we are using linear regression equation.but it is clear from the scatterplot that there is no linear relationship between x and y.from the linear regression equation we can not decide about the original relationship between x and y.

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