The equation reads y subscript 1 baseline tilde m x subscript 1 baseline plus b. The word statistics appears below the equation along with the equations r squared equals 0.9891 and r equals 0.9946. The word residuals appears below the statistics and shows e subscript 1 baseline with a button labeled plot next to it. The word parameters appears below the residuals and shows the equations m equals 0.660818 and b equals negative 1,242.91. To the right of the equations is a scatterplot with a line of best fit. The equation of the line is y equals 0.660818 x minus 1,242.91. The points lie very close to the line. Using the equation, predict the average temperature in the year 2050. (1 point) Responses 99.46 99.46 111.76 111.76 98.91 98.91 124.2

Question

The equation reads y subscript 1 baseline tilde m x subscript 1 baseline plus b. The word statistics appears below the equation along with the equations r squared equals 0.9891 and r equals 0.9946. The word residuals appears below the statistics and shows e subscript 1 baseline with a button labeled plot next to it. The word parameters appears below the residuals and shows the equations m equals 0.660818 and b equals negative 1,242.91. To the right of the equations is a scatterplot with a line of best fit. The equation of the line is y equals 0.660818 x minus 1,242.91. The points lie very close to the line. Using the equation, predict the average temperature in the year 2050. (1 point) Responses 99.46 99.46 111.76 111.76 98.91 98.91 124.2

Answer 1

To predict the average temperature in the year 2050, we can use the equation of the line of best fit:

y = 0.660818x - 1,242.91

Since x represents the year, we substitute x = 2050 into the equation:

y = 0.660818(2050) - 1,242.91

y = 1356.0439 - 1,242.91

y = 113.1339

Therefore, the predicted average temperature in the year 2050 is 113.13 (rounded to two decimal places).