Question

Janet, the corporate product design and promotion director, claimed that these 2 samples are dependent. In fact, she claimed that the sales were collected for corresponding weeks and that the sales of "Fun Life" affects the sales of "Strange Love". Perform a regression analysis and identify the coefficient of correlation, coefficient of determination and the linear regression function. IF R>0.4or R<-0.4 conduct a paired sample analysis of the difference in means of sales. Otherwise, inform Janet that they are not really correlated

	Fun Life		Strange Love
9/2/19	$    10,499.94		$    15,602.13
9/9/19	$    12,570.94		$    15,266.79
9/16/19	$      3,005.02		$      4,081.42
9/23/19	$    14,248.23		$      1,382.24
9/30/19	$      8,636.75		$      8,275.37
10/7/19	$    14,204.85		$      1,245.25
10/14/19	$      9,543.69		$    10,673.07
10/21/19	$      5,263.17		$    10,464.89
10/28/19	$      7,371.62		$      8,938.07
11/4/19	$      5,008.26		$    10,442.26
11/11/19	$      3,489.96		$      2,108.36
11/18/19	$    12,743.37		$    13,724.84
11/25/19	$      1,848.10		$      9,319.00
12/2/19	$      5,789.95		$      7,755.35
12/9/19	$      7,586.66		$    12,327.17
12/16/19	$      2,287.95		$      2,343.91
12/23/19	$      3,356.14		$      2,444.49
12/30/19	$      4,558.28		$    12,514.89
1/6/20	$      7,247.02		$      4,998.70
1/13/20	$      7,374.31		$    13,333.44
1/20/20	$      4,593.70		$    14,156.07
1/27/20	$      1,792.20		$      6,646.60
2/3/20	$      3,248.34		$      3,494.17
2/10/20	$      1,372.53		$    17,622.30
2/17/20	$    11,061.58		$      8,109.53
2/24/20	$      9,250.06		$    11,629.81
3/2/20	$      3,598.44		$      1,294.15
3/9/20	$    13,069.25		$    14,609.46
3/16/20	$      1,769.34		$    16,544.91
3/23/20	$      5,340.35		$      6,791.68
3/30/20	$      9,584.29		$      9,749.47
4/6/20	$    14,422.19		$      3,744.22
4/13/20	$      4,139.96		$    11,331.56
4/20/20	$      4,917.33		$    10,489.14
4/27/20	$    12,172.46		$    17,745.47

Answer 1

R = 0.087 which is less than 0.4.

They are not really correlated.

	r²	0.008
	r	0.087
	Std. Error	5079.764
	n	35
	k	1
	Dep. Var.	Strange Love
ANOVA table
Source	SS	df	MS	F	p-value
Regression	65,66,013.1833	1	65,66,013.1833	0.25	.6173
Residual	85,15,31,955.7733	33	2,58,03,998.6598
Total	85,80,97,968.9566	34
Regression output				confidence interval
variables	coefficients	std. error	t (df=33)	p-value	95% lower	95% upper
Intercept	8,423.0741
Fun Life	0.1069	0.2119	0.504	.6173	-0.3242	0.5379

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