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.

Calories, x   Sodium, y   

150   420
170   470
130   350
120   380
80 290
190   510

​(a)=160 calories

​(b)=90 calories

(c)=140 calories

​ (d)=220 calories

Find the regression equation.

Now construct a scatter plot of the data and draw the regression line. In a scatter​ plot, the ordered pairs​ (x,y) are graphed as points in a coordinate plane.

Determine the ordered pairs to be plotted.

Now use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. Because the correlation between x and y is​ significant, the equation of the regression line can be used to predict​ y-values. However, prediction values are meaningful only for​ x-values in the range of the data.

Now predict the value of y Now predict the value of y for x=90.Since x=90 is in the range of the original data it is meaningful to predict the value of y for x=90.

Next predict the value of y for x=120.Since x=120 is in the range of the original data it is meaningful to predict the value of y for x=120.

Finally predict the value of y for x=230.Since x=230 is not in the range of the original​ data, it is not meaningful to predict the value of y for x=230.

Answer 1

The scatter plot is drawn in excel.

enter the x and y value in 2 columns.-> Insert -> Scatter -> select the 1st plot -> the scatter plot appears -> Layout -> Trendline -> More trendline option -> Select "Linear" and enable "Display Equation on Chart". -> the graph appears as follows:

for x= 90, y = 2.0132*90+121.491 = 302.679

for x = 120, y = 2.0132*120+121.491 =363.075