  The data in the chart shows the maximum and corresponding resting heart rate of a healthy 20-year old man. Fit aregression line to the data. Then find the coefficient of correlation. Finally, use the regression line to predict themaximum heart rate for a resting heart rate of 40, 55 and 76.60 70 8050resting90maximum 162 164 166 168 170Choose the correct regression line.O A. y 0.20x 152.0O B. y 152.0x 0.20O C. y 0.20x 152.0O D. y 152.0

Question help_outlineImage TranscriptioncloseThe data in the chart shows the maximum and corresponding resting heart rate of a healthy 20-year old man. Fit a regression line to the data. Then find the coefficient of correlation. Finally, use the regression line to predict the maximum heart rate for a resting heart rate of 40, 55 and 76. 60 70 80 50 resting 90 maximum 162 164 166 168 170 Choose the correct regression line. O A. y 0.20x 152.0 O B. y 152.0x 0.20 O C. y 0.20x 152.0 O D. y 152.0 fullscreen
Step 1

The given data is help_outlineImage TranscriptioncloseResting Maximum 80 50 60 70 90 162 164 166 168 170 fullscreen
Step 2

We know that, help_outlineImage TranscriptioncloseFor a given set of data the equation of the regression line is given by, у %3 ах + b ху — ху (x)2 x2 where, and b yax a= fullscreen
Step 3

Let’s calculate a and b to... help_outlineImage TranscriptioncloseΣΥ-1 Χ. X 50 6070 80 + 90 = 70 5 n ΣΕ1 У 162 164166 + 168 + 170 i=1 166 5 n Σ-1xν. ху 50 x 162 60 x 164 +70 x 166 +80 x 168 + 90 x 170 i=1 5 n = 11660 Σ- x2 2 502 602702 802 902 i=1 5100 5 n (70)(166) (11660) (70)2 (5100) ху — ху (x)2 -x2 0.2 a= b%3D ў— ах = (166) - (0.2)(70) 152 Непсе, the regression line will be y = 0.2x152 Hence, fullscreen

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