Data on average math and reading scores on a standardized test for a grade level, as well as the percentage of students below the poverty level, for a sample of 22 schools in a region are shown in the accompanying table. Complete partthrough e below.Click the icon to view the data on math and reading test scores.a. Propose a straight-line model relating math score (y) to percentage (x) of students below the poverty level. Choose the correct answer bA. Y=B₁x + εB. Y=B₁xC. Y=B₁ + B₁x + εOD. Y=B₁x² +³₁ + εb. Use the method of least squares to fit the model to the data.== + Ox(Round to two decimal places as needed.)c. Graph the least squares line on a scatterplot of the data. Is there visual evidence of a relationship between the two variables? Is the relaChoose the correct plot below.Math ScoreA.2001740140+0% Below Poverty100OMath ScoreB.200140+0% Below Poverty100Is there visual evidence of a relationship between the two variables? Is the relationship positive or negative?Math Score200-1400% Below Poverty100A. As the percentage of students below the poverty level increases, math scores tend to increase. The relationship is positive.OB. As the percentage of students below the poverty level increases, math scores tend to decrease. The relationship is negative.Math and Reading Scores✪ElementarySchool1GAW N3456789Math Score Reading Score166.6160.9161.1152.2161.9173.2158.0162.8178.9PrintMath Score200-140-161.0155.3161.0162.2158.8161.3160.7166.9177.7Done0% Below Poverty100% BelowPoverty89.788.686.282.279.976.374.777.375.8✪QI

Here the dependent variable (y) is the math score.The independent variable (x) is % below poverty.Given that,Sample size a. The correct straight line mode for math scores to the percentage of students to the poverty level is,b. To find the regression equation using given data.The table that is needed is,yxx-y-(x-)(y-)(x-)2166.689.78.512.6422.466472.4201160.988.67.41-3.06-22.674654.9081161.186.25.01-2.86-14.328625.1001152.282.21.01-11.76-11.87761.0201161.979.9-1.29-2.062.65741.6641173.276.3-4.899.24-45.183623.912115874.7-6.49-5.9638.680442.1201162.877.3-3.89-1.164.512415.1321178.975.8-5.3914.94-80.526629.0521total1475.6730.7-106.274265.3289The sample slope will be,The intercept will be,The regression equation will be,c. To draw the scatter plot of the data.The scatter plot can be done in Excel below:This is the required regression equation.d. From the scatter plot and regression equation it can be seen that there is a negative relationship between % below Poverty and math score.a. The correct answer is the third option.The regression equation is,The given two variables are negatively correlated according to scatter plot and regression equation.