A researcher would like to predict the dependent variableYYfrom the two independent variablesX1X1andX2X2for a sample ofN=10N=10subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level=0.05=0.05.

X1X1	X2X2	YY
58.7	53.9	73.2
49.1	50.1	64.7
48.9	58.8	63.3
46.7	54.1	54.3
46.1	71.9	20.7
43.6	64.6	43
53.5	47.4	86
57.5	67.7	59.3
51.2	58.6	56.8
43.2	47.8	61.2

This data set can be downloaded as a *.csv file:Download CSV. R2=R2= F=F= P-value for overall model = t1=t1= forb1b1,P-value = t2=t2= forb2b2,P-value = What is your conclusion for the overall regression model (also called the omnibus test)?

• The overall regression model is statistically significant at =0.05=0.05.
• The overall regression model is not statistically significant at =0.05=0.05.

Which of the regression coefficients are statistically different from zero?

• neither regression coefficient is statistically significant
• the slope for the first variable b1b1 is the only statistically significant coefficient
• the slope for the second variable b2b2 is the only statistically significant coefficient
• both regression coefficients are statistically significant