Question

PLEASE HELP IM V CONFUSED

A random sample of testimonials for texting and driving videos and number of car crashes was measured, and the computer output for regression was obtained:





Coefficients Standard Error t Stat P-value


Intercept 9.983566646 1.400031473 7.130959 0.002045


Testimonials−0.119902617 0.038348632 −3.12665 0. 035299




R-sq. = 70.96%R-sq.(adj) = 63.70%



Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. (3 points)


Part B: What proportion of the variation in car crashes is explained by its linear relationship to video testimonials? Explain. (4 points)


Part C: Determine if decreased accidents were caused by texting and driving videos. Explain your reasoning. (3 points)

Answer 1

The LSRL is ŷ = 9.98 - 0.12x. The linear relationship explains 70.96% of the variation in car crashes. Decreased accidents can be attributed to texting and driving videos.

Step-by-step explanation:

Part A: The LSRL (Least Squares Regression Line) can be determined using the equation ŷ = 9.98 - 0.12x, where ŷ represents the number of car crashes and x represents the number of video testimonials.

Part B: The proportion of variation in car crashes explained by the linear relationship to video testimonials is 70.96%, as indicated by the R-squared value of 70.96%.

Part C: To determine if decreased accidents were caused by texting and driving videos, we need to assess the significance of the coefficient for video testimonials. Since the p-value for the coefficient is 0.035, which is less than the significance level of 0.05, we can conclude that there is evidence to suggest that texting and driving videos have a significant impact on reducing car crashes.

Answer 2

The LSRL equation is y = 9.9836 - 0.1199x. 70.96% of the variation in car crashes is explained by the linear relationship to video testimonials. Texting and driving videos have a significant impact on decreasing car accidents.

Step-by-step explanation:

Part A: The LSRL (Least Squares Regression Line) can be determined by using the coefficients obtained from the computer output. The equation for the LSRL is:

y = 9.9836 - 0.1199x

The variables used in the equation are:

• Intercept: The value of y when x is equal to 0
• Testimonials: The slope of the line, representing the change in y for a one unit increase in x

Part B: The coefficient of determination, also known as r-squared, is 70.96%. This means that approximately 70.96% of the variation in car crashes can be explained by the linear relationship to video testimonials. The remaining 29.04% is attributed to other factors not included in the regression model.

Part C: To determine if decreased accidents were caused by texting and driving videos, we can analyze the P-value associated with the coefficient for Testimonials. The P-value of 0.0353 is less than the commonly used significance level of 0.05, indicating that the coefficient is statistically significant. Therefore, there is evidence to suggest that texting and driving videos have a significant impact on decreasing car accidents.