Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (Each pair of variables has a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below.

font size decreased by 1 font size increased by 1 Calories comma xCalories, x	150150	180180	130130	130130	8080	190190	Open in StatCrunch + Copy to Clipboard + Open in Excel +	​(a) xequals=160160 calories	​(b) xequals=100100 calories
​Sodium, y	410410	460460	320320	370370	260260	520520		​(c) xequals=120120 calories	​(d) xequals=220220 calories

Find the regression equation.

ModifyingAbove y with caretyequals=nothing xplus+​(nothing ​)

​(Round to three decimal places as​ needed.)

Answer 1

The regression equation

a)  Given X = 160

Given regression equation y = 61.176 + 2.294 * x

y = 61.176 + 2.294 *160
= 428.216

b) Given X = 100

Given regression equation y = 61.176 + 2.294 * x

y = 61.176 + 2.294 *100
= 290.576

c) Given X = 120
Given regression equation y = 61.176 + 2.294 * x

y = 61.176 + 2.294 *120
= 336.456

d) Given X = 220
Given regression equation y = 61.176 + 2.294 * x

y = 61.176 + 2.294 *220
= 565.856