Question

Find the equation of the regression line for the given data. Then construet a scatter plot of the data and draw the regression line. (Each pair of variables has a significant corrlaton.) Then use the regression equation to predict the value of y for each of the given x-valu meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. 120 330 alories, x odium 160 430 190 520 (a) x-17O calories (c) x 150 calories (b)x-90 calbries id) x 210 calories 480 380 290 Find the regression equation. Round to three decimal places as needed) Choose the correct graph below. A. с. D. (a) Predict the value of y forx 170. Choose the correct answer below. O A. 481.738 O B. 423.898 C. 537.418 O D. not meaningtul

Answer 1

data

x	y
160	430
180	480
120	330
120	380
70	290
190	520

RESULT

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.968285642
R Square	0.937577085
Adjusted R Square	0.921971356
Standard Error	24.65447499
Observations	6
ANOVA
	df	SS	MS	F	Significance F
Regression	1	36518.62745	36518.62745	60.07903226	0.001492752
Residual	4	2431.372549	607.8431373
Total	5	38950
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	140.0980392	35.62751033	3.932299448	0.01706995	41.18021254	239.0158659
x	1.892156863	0.244115678	7.751066524	0.001492752	1.214383082	2.569930643

y^= 140.098 + 1.892* x

option C) is correct graph

X	Y^
170	461.7647059   A)
90	310.3921569   A)
150	423.9215686   A)
210	not meaningful D)